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Bifurcation phenomena near homoclinic systems: A two-parameter analysis

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-5767-7openalex-snapshot
The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors
inferredcites →https://doi.org/10.1007/978-3-642-68304-6_9openalex-snapshot
Dynamic Instabilities Observed in the Belousov-Zhabotinsky System
inferredcites →https://doi.org/10.1007/978-3-642-81778-6openalex-snapshot
Nonlinear Phenomena in Chemical Dynamics
inferredcites →https://doi.org/10.1007/bf01010828openalex-snapshot
Local and global behavior near homoclinic orbits
inferredcites →https://doi.org/10.1007/bf01011745openalex-snapshot
Oscillators with chaotic behavior: An illustration of a theorem by Shil'nikov
inferredcites →https://doi.org/10.1007/bf01019496openalex-snapshot
What can we learn from homoclinic orbits in chaotic dynamics?
inferredcites →https://doi.org/10.1007/bf01020332openalex-snapshot
Quantitative universality for a class of nonlinear transformations
inferredcites →https://doi.org/10.1016/0375-9601(81)90625-3openalex-snapshot
Alternating periodic and chaotic regimes in a chemical reaction — Experiment and theory
inferredcites →https://doi.org/10.1016/0375-9601(83)90085-3openalex-snapshot
Generation of a countable set of homoclinic flows through bifurcation
inferredcites →https://doi.org/10.1063/1.438487openalex-snapshot
An experimental study of multiple peak periodic and nonperiodic oscillations in the Belousov–Zhabotinskii reaction
inferredcites →https://doi.org/10.1090/s0002-9904-1967-11798-1openalex-snapshot
Differentiable dynamical systems
inferredcites →https://doi.org/10.1103/physreva.25.3223openalex-snapshot
Analysis of flow hysteresis by a one-dimensional map
inferredcites →https://doi.org/10.1103/physreva.28.373openalex-snapshot
Subharmonic bifurcation in the sine map: An infinite hierarchy of cusp bistabilities
inferredcites →https://doi.org/10.1111/j.1749-6632.1979.tb29482.xopenalex-snapshot
CONTINUOUS CHAOS—FOUR PROTOTYPE EQUATIONS
inferredcites →https://doi.org/10.1137/1.9780898719222openalex-snapshot
Ordinary Differential Equations
inferredcites →https://doi.org/10.2307/1970070openalex-snapshot
On Singularities of Mappings of Euclidean Spaces. I. Mappings of the Plane into the Plane
inferredcites →https://doi.org/10.2307/2004309openalex-snapshot
Ordinary Differential Equations
inferredcites →https://doi.org/10.2307/2322694openalex-snapshot
The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors.

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inferred← citeshttps://doi.org/10.1002/9783527617548.biblioopenalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1002/bbpc.19910950312openalex-snapshot
Rate Processes in Low Dimensional Chaotic Systems with Many Attractors
inferred← citeshttps://doi.org/10.1002/cta.713openalex-snapshot
Spiral periodic structure inside chaotic region in parameter‐space of a Chua circuit
inferred← citeshttps://doi.org/10.1002/sapm1990833193openalex-snapshot
Homoclinic Bifurcations in n Dimensions
inferred← citeshttps://doi.org/10.1002/sapm1990834329openalex-snapshot
Homoclinic Bifurcations for Partial Differential Equations in Unbounded Domains
inferred← citeshttps://doi.org/10.1007/3-540-45549-3_6openalex-snapshot
Low-dimensional dynamics of axisymmetric modes in wavy Taylor vortex flow
inferred← citeshttps://doi.org/10.1007/978-1-4612-3206-3_2openalex-snapshot
A Minimal Model for Spatio-Temporal Patterns in Thin Film Flow
inferred← citeshttps://doi.org/10.1007/978-1-4613-0847-8_11openalex-snapshot
Experimental Characterization of Shil’nikov Chaos by Statistics of Return Times
inferred← citeshttps://doi.org/10.1007/978-1-4684-1342-7_3openalex-snapshot
Chaos and Complexity in Quantum Optics
inferred← citeshttps://doi.org/10.1007/978-1-4684-7479-4_40openalex-snapshot
Homoclinic Bifurcations in Ordinary and Partial Differential Equations
inferred← citeshttps://doi.org/10.1007/978-1-4757-0623-9_1openalex-snapshot
Complexity and Chaos
inferred← citeshttps://doi.org/10.1007/978-1-4757-0623-9_41openalex-snapshot
Shil’nikov Chaos: How to Characterize Homoclinic and Heteroclinic Behaviour
inferred← citeshttps://doi.org/10.1007/978-1-4757-0623-9_43openalex-snapshot
Characterization of Shilnikov Chaos in a CO2 Laser Containing a Saturable Absorber
inferred← citeshttps://doi.org/10.1007/978-1-4757-9631-5_2openalex-snapshot
Patterns of Activity in a Reduced Ionic Model of a Cell from the Rabbit Sinoatrial Node
inferred← citeshttps://doi.org/10.1007/978-1-4757-9631-5_31openalex-snapshot
Homoclinic Bifurcations in Ordinary Differential Equations
inferred← citeshttps://doi.org/10.1007/978-3-319-02925-2_12openalex-snapshot
Symbolic Toolkit for Chaos Explorations
inferred← citeshttps://doi.org/10.1007/978-3-642-38830-9_4openalex-snapshot
Homoclinic Spirals: Theory and Numerics
inferred← citeshttps://doi.org/10.1007/978-3-642-46508-6_34openalex-snapshot
Periodic and Nonperiodic Dynamical Behavior Near Homoclinic Systems
inferred← citeshttps://doi.org/10.1007/978-3-642-72637-8_14openalex-snapshot
Afterpotentials and Pacemaker Oscillations in an Ionic Model of Cardiac Purkinje Fibres
inferred← citeshttps://doi.org/10.1007/978-3-642-75308-4_30openalex-snapshot
Chaos and Period Adding Sequence in a Microwave Oscillator with a Ferrite Resonator
inferred← citeshttps://doi.org/10.1007/978-3-642-84781-3_5openalex-snapshot
The Laser with a Saturable Absorber: A Paradigm for the Study of Laser Instabilities
inferred← citeshttps://doi.org/10.1007/978-3-642-93289-2_2openalex-snapshot
Nonlinear Phenomena in Dissipative Systems
inferred← citeshttps://doi.org/10.1007/978-3-662-48410-4_3openalex-snapshot
Theory and Applications of the Orthogonal Fast Lyapunov Indicator (OFLI and OFLI2) Methods
inferred← citeshttps://doi.org/10.1007/978-94-009-0659-4_13openalex-snapshot
A Method for Homoclinic and Heteroclinic Continuation in Two and Three Dimensions
inferred← citeshttps://doi.org/10.1007/978-94-009-0659-4_4openalex-snapshot
Bifurcations, Chaos and Self-Organization in Reaction-Diffusion Systems
inferred← citeshttps://doi.org/10.1007/978-94-010-0217-2_2openalex-snapshot
Modelling Diversity by Chaos and Classification by Synchronization
inferred← citeshttps://doi.org/10.1007/978-94-011-1156-0_16openalex-snapshot
Modeling Front Pattern Formation and Intermittent Bursting Phenomena in the Couette Flow Reactor
inferred← citeshttps://doi.org/10.1007/978-94-015-8238-4_5openalex-snapshot
Dynamical Systems: Some Computational Problems
inferred← citeshttps://doi.org/10.1007/bf00275681openalex-snapshot
Effects of noise on some dynamical models in ecology
inferred← citeshttps://doi.org/10.1007/bf00573460openalex-snapshot
Map dynamics of autocatalytic networks and the replicator equations
inferred← citeshttps://doi.org/10.1007/bf00953665openalex-snapshot
A construction of three-dimensional vector fields which have a codimension two heteroclinic loop at Glendinning-Sparrow T-point
inferred← citeshttps://doi.org/10.1007/bf01009527openalex-snapshot
A crisis in the Belousov-Zhabotinskii reaction: Experiment and simulation
inferred← citeshttps://doi.org/10.1007/bf01010405openalex-snapshot
Homoclinic orbits and mixed-mode oscillations in far-from-equilibrium systems
inferred← citeshttps://doi.org/10.1007/bf01010828openalex-snapshot
Local and global behavior near homoclinic orbits
inferred← citeshttps://doi.org/10.1007/bf02187063openalex-snapshot
Probabilistic approach to homoclinic chaos
inferred← citeshttps://doi.org/10.1007/bf03155982openalex-snapshot
Unusual maps and their use to approach usual ones
inferred← citeshttps://doi.org/10.1007/bf03167568openalex-snapshot
Bifurcation equations of continuous piecewise-linear vector fields
inferred← citeshttps://doi.org/10.1007/s002050100159openalex-snapshot
Homoclinic-Doubling Cascades
inferred← citeshttps://doi.org/10.1007/s10008-015-2800-4openalex-snapshot
Periodicity hubs and spirals in an electrochemical oscillator
inferred← citeshttps://doi.org/10.1007/s11071-010-9815-2openalex-snapshot
Structure of saddle-node and cusp bifurcations of periodic orbits near a non-transversal T-point
inferred← citeshttps://doi.org/10.1007/s11071-016-3044-2openalex-snapshot
Two-parameter bifurcations in a discontinuous map with a variable gap
inferred← citeshttps://doi.org/10.1016/0022-0728(91)85116-7openalex-snapshot
Electrochemical oscillators: an experimental study of the indium/thiocyanate oscillator
inferred← citeshttps://doi.org/10.1016/0030-4018(91)90208-uopenalex-snapshot
Homoclinic bifurcations in thermo-optical bistability with localized absorption
inferred← citeshttps://doi.org/10.1016/0030-4018(94)90619-xopenalex-snapshot
Rössler chaos in opto-thermal bistable devices
inferred← citeshttps://doi.org/10.1016/0167-2789(86)90060-6openalex-snapshot
Bifurcation analysis of a system of coupled chemical oscillators: Bromate-chlorite-iodine
inferred← citeshttps://doi.org/10.1016/0167-2789(89)90082-1openalex-snapshot
Analysis of a six-component atmospheric spectral model: chaos, predictability and vacillation
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90091-mopenalex-snapshot
The origins of chaos in a modified Van der Pol oscillator
inferred← citeshttps://doi.org/10.1016/0167-2789(92)90004-7openalex-snapshot
Dynamics of a three-dimensional incompressible flow with stagnation points
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90069-dopenalex-snapshot
Merging of resonance tongues
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90274-5openalex-snapshot
Homoclinic hyperchaos — an explicit example
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90277-8openalex-snapshot
A hierarchy of transitions to mixed mode oscillations in an electrochemical system
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90278-9openalex-snapshot
Homoclinic chaos in chemical systems
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90279-aopenalex-snapshot
Experimental evidence for homoclinic chaos in an electrochemical growth process
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90280-eopenalex-snapshot
Poincaré versus Boltzmann in Šil'nikov phenomena
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90282-6openalex-snapshot
Šil'nikov-Hopf bifurcation
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90284-8openalex-snapshot
A case study for homoclinic chaos in an autonomous electronic circuit
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90287-bopenalex-snapshot
Homoclinic tangencies in an autocatalytic model of interfacial processes at the bone surface
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90291-8openalex-snapshot
Chaos in a low-order model of magnetoconvection
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90293-aopenalex-snapshot
Homoclinic tangencies in the dynamics of articulated pipes conveying fluid
inferred← citeshttps://doi.org/10.1016/0167-2789(94)00165-mopenalex-snapshot
Time series analysis of physical systems possessing homoclinicity
inferred← citeshttps://doi.org/10.1016/0167-2789(94)00171-lopenalex-snapshot
Bifurcations of mixed-mode oscillations in a three-variable autonomous Van der Pol-Duffing model with a cross-shaped phase diagram
inferred← citeshttps://doi.org/10.1016/0167-2789(94)90092-2openalex-snapshot
Reconstructing bifurcation diagrams only from time-waveforms
inferred← citeshttps://doi.org/10.1016/0167-2789(95)00077-hopenalex-snapshot
Homoclinic phenomena in opto-thermal bistability with localized absorption
inferred← citeshttps://doi.org/10.1016/0167-2789(96)00063-2openalex-snapshot
Recognizing chaotic time-waveforms in terms of a parametrized family of nonlinear predictors
inferred← citeshttps://doi.org/10.1016/0167-2789(96)00068-1openalex-snapshot
Equivalent low-order model for a nonlinear diffusion equation
inferred← citeshttps://doi.org/10.1016/0375-9601(87)90488-9openalex-snapshot
Travelling wave solutions near isolated double-pulse solitary waves of nerve axon equations
inferred← citeshttps://doi.org/10.1016/0375-9601(87)90669-4openalex-snapshot
Experimental evidence for homoclinic chaos in the Belousov-Zhabotinskii reaction
inferred← citeshttps://doi.org/10.1016/0375-9601(95)00953-1openalex-snapshot
A homoclinic hierarchy
inferred← citeshttps://doi.org/10.1016/0960-0779(93)90019-wopenalex-snapshot
Global aspects of homoclinic bifurcations of three-dimensional saddles
inferred← citeshttps://doi.org/10.1016/b978-0-12-145135-6.50015-9openalex-snapshot
TEMPORAL AND SPATIAL INSTABILITIES AND NONLINEAR DYNAMICS IN LASERS AND OPTICAL BISTABILITY
inferred← citeshttps://doi.org/10.1016/j.chaos.2016.02.035openalex-snapshot
Big data naturally rescaled
inferred← citeshttps://doi.org/10.1016/j.chaos.2017.03.043openalex-snapshot
Sensitive dependence on parameters of continuous-time nonlinear dynamical systems
inferred← citeshttps://doi.org/10.1016/j.cnsns.2021.105869openalex-snapshot
Branched manifolds for the three types of unimodal maps
inferred← citeshttps://doi.org/10.1016/j.cnsns.2023.107208openalex-snapshot
Coexistence of triple, quadruple attractors and Wada basin boundaries in a predator–prey model with additional food for predators
inferred← citeshttps://doi.org/10.1016/j.fluiddyn.2004.03.002openalex-snapshot
Time series analysis of homoclinic nonlinear systems using a wavelet transform method
inferred← citeshttps://doi.org/10.1016/j.ifacol.2024.07.064openalex-snapshot
Chaos in the Piecewise Linear Saddle-Focus with Helicoidal Return
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2010.05.006openalex-snapshot
Global bifurcations in externally excited autoparametric systems
inferred← citeshttps://doi.org/10.1016/j.jde.2025.113290openalex-snapshot
Knots and chaos in the Rössler system
inferred← citeshttps://doi.org/10.1016/j.matcom.2025.12.013openalex-snapshot
Complex bifurcations and new types of structure uncovered in the Qi system
inferred← citeshttps://doi.org/10.1016/j.physa.2026.131892openalex-snapshot
Self-similar shrimp structures and bifurcation hierarchies in the Gumowski–Mira map
inferred← citeshttps://doi.org/10.1016/j.physd.2005.08.004openalex-snapshot
Long tailed maps as a representation of mixed mode oscillatory systems
inferred← citeshttps://doi.org/10.1016/j.physd.2009.03.010openalex-snapshot
Qualitative analysis of the Rössler equations: Bifurcations of limit cycles and chaotic attractors
inferred← citeshttps://doi.org/10.1016/j.physleta.2009.04.024openalex-snapshot
Complex periodic structures in bi-dimensional bifurcation diagrams of a RLC circuit model with a nonlinear NDC device
inferred← citeshttps://doi.org/10.1016/j.physleta.2010.10.046openalex-snapshot
How similar is the performance of the cubic and the piecewise-linear circuits of Chua?
inferred← citeshttps://doi.org/10.1016/j.physleta.2013.03.025openalex-snapshot
Bifurcation structures in two-dimensional maps: The endoskeletons of shrimps
inferred← citeshttps://doi.org/10.1016/j.physleta.2013.11.003openalex-snapshot
Bifurcation structures and transient chaos in a four-dimensional Chua model
inferred← citeshttps://doi.org/10.1016/j.physleta.2016.02.049openalex-snapshot
The role of extreme orbits in the global organization of periodic regions in parameter space for one dimensional maps
inferred← citeshttps://doi.org/10.1016/s0020-7462(97)00056-5openalex-snapshot
Regular and chaotic forced vibration of thin rotating rings
inferred← citeshttps://doi.org/10.1016/s0167-2789(96)00244-8openalex-snapshot
Bifocal homoclinic bifurcations
inferred← citeshttps://doi.org/10.1016/s0167-2789(97)00070-5openalex-snapshot
Sil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal
inferred← citeshttps://doi.org/10.1016/s0167-2789(99)00241-9openalex-snapshot
Incomplete approach to homoclinicity in a model with bent-slow manifold geometry
inferred← citeshttps://doi.org/10.1016/s0378-4371(98)00389-6openalex-snapshot
Homoclinic bifurcations in Chua's circuit
inferred← citeshttps://doi.org/10.1016/s0960-0779(00)00239-3openalex-snapshot
Analysis of the dynamics of a realistic ecological model
inferred← citeshttps://doi.org/10.1016/s0960-0779(01)00201-6openalex-snapshot
Countable infinite sequence of attractors' families for the simplest known equivariant chaotic flow
inferred← citeshttps://doi.org/10.1016/s1874-575x(10)00316-4openalex-snapshot
Homoclinic and Heteroclinic Bifurcations in Vector Fields
inferred← citeshttps://doi.org/10.1017/s0022112000003293openalex-snapshot
Homoclinic bifurcations in a liquid crystal flow
inferred← citeshttps://doi.org/10.1017/s0022112086000216openalex-snapshot
Transitions to chaos in two-dimensional double-diffusive convection
inferred← citeshttps://doi.org/10.1017/s0305004100077975openalex-snapshot
Subsidiary bifurcations near bifocal homoclinic orbits
inferred← citeshttps://doi.org/10.1017/s0956792518000335openalex-snapshot
Shilnikov chaos, Filippov sliding and boundary equilibrium bifurcations
inferred← citeshttps://doi.org/10.1023/a:1008227316517openalex-snapshot
Free Vibration in a Class of Self-Excited Oscillators with 1:3 Internal Resonance
inferred← citeshttps://doi.org/10.1023/a:1014917324652openalex-snapshot
T-Points in a Z2-Symmetric Electronic Oscillator. (I) Analysis
inferred← citeshttps://doi.org/10.1063/1.1606631openalex-snapshot
Self-emergence of chaos in the identification of irregular periodic behavior
inferred← citeshttps://doi.org/10.1063/1.165847openalex-snapshot
Rate processes in nonlinear optical dynamics with many attractors
inferred← citeshttps://doi.org/10.1063/1.166076openalex-snapshot
Unstable periodic orbits and templates of the Rössler system: Toward a systematic topological characterization
inferred← citeshttps://doi.org/10.1063/1.166168openalex-snapshot
Chaos and intermittent bursting in a reaction-diffusion process
inferred← citeshttps://doi.org/10.1063/1.2031978openalex-snapshot
Basic structures of the Shilnikov homoclinic bifurcation scenario
inferred← citeshttps://doi.org/10.1063/1.2401060openalex-snapshot
Shilnikov homoclinic orbit bifurcations in the Chua’s circuit
inferred← citeshttps://doi.org/10.1063/1.3339819openalex-snapshot
Existence of homoclinic connections in continuous piecewise linear systems
inferred← citeshttps://doi.org/10.1063/1.3523304openalex-snapshot
Identifying complex periodic windows in continuous-time dynamical systems using recurrence-based methods
inferred← citeshttps://doi.org/10.1063/1.3527032openalex-snapshot
Abundance of stable periodic behavior in a Red Grouse population model with delay: A consequence of homoclinicity
inferred← citeshttps://doi.org/10.1063/1.3657917openalex-snapshot
Shrimp-shape domains in a dissipative kicked rotator
inferred← citeshttps://doi.org/10.1063/1.3677367openalex-snapshot
Geometric and dynamic perspectives on phase-coherent and noncoherent chaos
inferred← citeshttps://doi.org/10.1063/1.449025openalex-snapshot
A thermokinetic model of complex oscillations in gaseous hydrocarbon oxidation
inferred← citeshttps://doi.org/10.1063/1.451992openalex-snapshot
From quasiperiodicity to chaos in the Belousov–Zhabotinskii reaction. II. Modeling and theory
inferred← citeshttps://doi.org/10.1063/1.451993openalex-snapshot
Bistable limit cycle oscillations in chemical systems. I. Basins of attraction
inferred← citeshttps://doi.org/10.1063/1.451994openalex-snapshot
Bistable limit cycle oscillations in chemical systems. II. Mechanisms for noise-induced transitions
inferred← citeshttps://doi.org/10.1063/1.453790openalex-snapshot
An experimental investigation of periodic and chaotic electrochemical oscillations in the anodic dissolution of copper in phosphoric acid
inferred← citeshttps://doi.org/10.1063/1.455561openalex-snapshot
Slow manifolds and mixed-mode oscillations in the Belousov–Zhabotinskii reaction
inferred← citeshttps://doi.org/10.1063/1.457235openalex-snapshot
A detailed study of a forced chemical oscillator: Arnol’d tongues and bifurcation sets
inferred← citeshttps://doi.org/10.1063/1.462377openalex-snapshot
The modeling of mixed-mode and chaotic oscillations in electrochemical systems
inferred← citeshttps://doi.org/10.1063/1.463396openalex-snapshot
Mixed-mode oscillations and incomplete homoclinic scenarios to a saddle focus in the indium/thiocyanate electrochemical oscillator
inferred← citeshttps://doi.org/10.1063/1.466545openalex-snapshot
Exploring complexity in some simple nonlinear chemical kinetic schemes
inferred← citeshttps://doi.org/10.1063/1.5048513openalex-snapshot
An investigation of the parameter space for a family of dissipative mappings
inferred← citeshttps://doi.org/10.1063/1.5119808openalex-snapshot
Discontinuous spirals of stability in an optically injected semiconductor laser
inferred← citeshttps://doi.org/10.1063/5.0026188openalex-snapshot
Homoclinic chaos in the Rössler model
inferred← citeshttps://doi.org/10.1063/5.0054776openalex-snapshot
Ordered intricacy of Shilnikov saddle-focus homoclinics in symmetric systems
inferred← citeshttps://doi.org/10.1063/5.0086906openalex-snapshot
Bifurcation, chaos, multistability, and organized structures in a predator–prey model with vigilance
inferred← citeshttps://doi.org/10.1063/5.0131970openalex-snapshot
On an origami structure of period-1 motions to homoclinic orbits in the Rössler system
inferred← citeshttps://doi.org/10.1063/5.0208457openalex-snapshot
Spiral organization of quasi-periodic shrimp-shaped domains in a discrete predator–prey system
inferred← citeshttps://doi.org/10.1063/5.0230994openalex-snapshot
Arnold tongues, shrimp structures, multistability, and ecological paradoxes in a discrete-time predator–prey system
inferred← citeshttps://doi.org/10.1063/5.0233324openalex-snapshot
Shrinking shrimp-shaped domains and multistability in the dissipative asymmetric kicked rotor map
inferred← citeshttps://doi.org/10.1063/5.0233509openalex-snapshot
Exploring quasi-periodic shrimps in the parameter space of a discrete-time food chain model
inferred← citeshttps://doi.org/10.1063/5.0238147openalex-snapshot
Mapping chaos: Bifurcation patterns and shrimp structures in the Ikeda map
inferred← citeshttps://doi.org/10.1063/5.0239023openalex-snapshot
One-dimensional invariant measure in periodicity hubs: A tribute to Professor Jason A. C. Gallas
inferred← citeshttps://doi.org/10.1063/5.0346275openalex-snapshot
Organized structures and multiple attractors in chaotic regimes
inferred← citeshttps://doi.org/10.1080/14689361003779134openalex-snapshot
A mechanism for switching near a heteroclinic network
inferred← citeshttps://doi.org/10.1088/0034-4885/49/8/002openalex-snapshot
Dissipative systems
inferred← citeshttps://doi.org/10.1088/0951-7715/1/3/002openalex-snapshot
Particle paths in wavy vortices
inferred← citeshttps://doi.org/10.1088/0951-7715/11/4/007openalex-snapshot
Grazing, skipping and sliding: Analysis of the non-smooth dynamics of the DC/DC buck converter
inferred← citeshttps://doi.org/10.1088/0951-7715/15/4/304openalex-snapshot
Periodic attractors, strange attractors and hyperbolic dynamics near homoclinic orbits to saddle-focus equilibria
inferred← citeshttps://doi.org/10.1088/0951-7715/3/3/005openalex-snapshot
Normal forms and chaos in thermosolutal convection
inferred← citeshttps://doi.org/10.1088/0951-7715/3/4/003openalex-snapshot
The reliability of numerical experiments: transitions to chaos in thermosolutal convection
inferred← citeshttps://doi.org/10.1088/0953-8984/2/s/005openalex-snapshot
Chemical chaos and self-organization
inferred← citeshttps://doi.org/10.1088/1004-423x/5/12/002openalex-snapshot
Observations of homoclinic chaos through alternating periodic-chaotic sequences in a nonlinear circuit
inferred← citeshttps://doi.org/10.1088/1361-6544/abc794openalex-snapshot
Wild pseudohyperbolic attractor in a four-dimensional Lorenz system
inferred← citeshttps://doi.org/10.1093/bioinformatics/btu332openalex-snapshot
Universal dynamical properties preclude standard clustering in a large class of biochemical data
inferred← citeshttps://doi.org/10.1098/rsta.1998.0272openalex-snapshot
Shil'nikov homoclinic dynamics and the escape from roll autorotation in an F–4 model
inferred← citeshttps://doi.org/10.1103/physreva.31.1687openalex-snapshot
Mass and dimension of Feigenbaum attractors
inferred← citeshttps://doi.org/10.1103/physreva.41.4223openalex-snapshot
From U sequence to Farey sequence: A unification of one-parameter scenarios
inferred← citeshttps://doi.org/10.1103/physreve.53.5627openalex-snapshot
Homoclinic dynamics in experimental Shil’nikov attractors
inferred← citeshttps://doi.org/10.1103/physreve.77.037202openalex-snapshot
Experimental observation of a complex periodic window
inferred← citeshttps://doi.org/10.1103/physreve.82.037202openalex-snapshot
Non-Shilnikov cascades of spikes and hubs in a semiconductor laser with optoelectronic feedback
inferred← citeshttps://doi.org/10.1103/physreve.84.016216openalex-snapshot
Global structure of periodicity hubs in Lyapunov phase diagrams of dissipative flows
inferred← citeshttps://doi.org/10.1103/physreve.84.035201openalex-snapshot
Global organization of spiral structures in biparameter space of dissipative systems with Shilnikov saddle-foci
inferred← citeshttps://doi.org/10.1103/physrevlett.101.054101openalex-snapshot
Periodicity Hub and Nested Spirals in the Phase Diagram of a Simple Resistive Circuit
inferred← citeshttps://doi.org/10.1103/physrevlett.105.074102openalex-snapshot
Real-World Existence and Origins of the Spiral Organization of Shrimp-Shaped Domains
inferred← citeshttps://doi.org/10.1103/physrevlett.108.214102openalex-snapshot
Topological Changes in Periodicity Hubs of Dissipative Systems
inferred← citeshttps://doi.org/10.1103/physrevlett.68.2770openalex-snapshot
Evidence of homoclinic chaos in the plasma of a glow discharge
inferred← citeshttps://doi.org/10.1103/physrevlett.68.714openalex-snapshot
Crisis-induced intermittent bursting in reaction-diffusion chemical systems
inferred← citeshttps://doi.org/10.1103/physrevresearch.4.013044openalex-snapshot
Dissipative localized states and breathers in phase-mismatched singly resonant optical parametric oscillators: Bifurcation structure and stability
inferred← citeshttps://doi.org/10.1108/s1571-0386(2004)0000014020openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1109/81.246147openalex-snapshot
Studying chaos via 1-D maps-a tutorial
inferred← citeshttps://doi.org/10.1109/81.788813openalex-snapshot
Nonlinear analysis of the Colpitts oscillator and applications to design
inferred← citeshttps://doi.org/10.1109/ecctd.2013.6662267openalex-snapshot
Parameter properties of electronic and biological circuits and systems
inferred← citeshttps://doi.org/10.1109/ijcnn.2019.8852336openalex-snapshot
Heteroclinic Orbits and Chaos in A Ring of Three Unidirectionally Coupled Nonmonotonic Neurons
inferred← citeshttps://doi.org/10.1115/1.4062201openalex-snapshot
Period-1 Motions to Twin Spiral Homoclinic Orbits in the Rössler System
inferred← citeshttps://doi.org/10.1137/080734923openalex-snapshot
Unfolding a Tangent Equilibrium-to-Periodic Heteroclinic Cycle
inferred← citeshttps://doi.org/10.1137/120864684openalex-snapshot
Resonance Bifurcations of Robust Heteroclinic Networks
inferred← citeshttps://doi.org/10.1137/s0036139900378542openalex-snapshot
Belyakov Homoclinic Bifurcations in a Tritrophic Food Chain Model
inferred← citeshttps://doi.org/10.1137/s0036139993247422openalex-snapshot
Chaotic Pulse Trains
inferred← citeshttps://doi.org/10.1142/9789812705303_0025openalex-snapshot
Identification of a Parametrized Family of Chaotic Dynamics from Time Series
inferred← citeshttps://doi.org/10.1142/9789814434805_0033openalex-snapshot
SYMBOLIC DYNAMICS AND SPIRAL STRUCTURES DUE TO THE SADDLE-FOCUS BIFURCATIONS
inferred← citeshttps://doi.org/10.1142/9789814503372_0007openalex-snapshot
DISPLACED REINJECTION ATTRACTORS IN AN ELECTRONIC ANALOGUE OF THE MEMBRANE OF THE SQUID GIANT AXON
inferred← citeshttps://doi.org/10.1142/s0218127400000670openalex-snapshot
THE COLPITTS OSCILLATOR: FAMILIES OF PERIODIC SOLUTIONS AND THEIR BIFURCATIONS
inferred← citeshttps://doi.org/10.1142/s0218127401002286openalex-snapshot
TAKENS–BOGDANOV BIFURCATIONS OF PERIODIC ORBITS AND ARNOLD'S TONGUES IN A THREE-DIMENSIONAL ELECTRONIC MODEL
inferred← citeshttps://doi.org/10.1142/s0218127402005996openalex-snapshot
ANALYTICS OF HOMOCLINIC BIFURCATIONS IN THREE-DIMENSIONAL SYSTEMS
inferred← citeshttps://doi.org/10.1142/s0218127403008338openalex-snapshot
BIFURCATIONS IN THE COLPITTS OSCILLATOR: FROM THEORY TO PRACTICE
inferred← citeshttps://doi.org/10.1142/s0218127404009570openalex-snapshot
QUALITATIVE RESONANCE OF SHIL'NIKOV-LIKE STRANGE ATTRACTORS, PART I: EXPERIMENTAL EVIDENCE
inferred← citeshttps://doi.org/10.1142/s0218127404009739openalex-snapshot
QUALITATIVE RESONANCE OF SHIL'NIKOV-LIKE STRANGE ATTRACTORS, PART II: MATHEMATICAL ANALYSIS
inferred← citeshttps://doi.org/10.1142/s0218127405014106openalex-snapshot
TRANSFORMING SUBHARMONIC CHAOS TO HOMOCLINIC CHAOS SUITABLE FOR PATTERN RECOGNITION
inferred← citeshttps://doi.org/10.1142/s0218127406016306openalex-snapshot
OPEN-TO-CLOSED CURVES OF SADDLE-NODE BIFURCATIONS OF PERIODIC ORBITS NEAR A NONTRANSVERSAL T-POINT IN CHUA'S EQUATION
inferred← citeshttps://doi.org/10.1142/s021812740601694xopenalex-snapshot
GLUING BIFURCATIONS IN CHUA OSCILLATOR
inferred← citeshttps://doi.org/10.1142/s0218127407017756openalex-snapshot
HORSESHOES NEAR HOMOCLINIC ORBITS FOR PIECEWISE LINEAR DIFFERENTIAL SYSTEMS IN ℝ3
inferred← citeshttps://doi.org/10.1142/s0218127407018294openalex-snapshot
HYPERBOLIC PERIODIC ORBITS FROM THE BIFURCATION OF A FOUR-DIMENSIONAL NONLINEAR CENTER
inferred← citeshttps://doi.org/10.1142/s0218127410025636openalex-snapshot
THE STRUCTURE OF INFINITE PERIODIC AND CHAOTIC HUB CASCADES IN PHASE DIAGRAMS OF SIMPLE AUTONOMOUS FLOWS
inferred← citeshttps://doi.org/10.1142/s0218127412300169openalex-snapshot
KNEADINGS, SYMBOLIC DYNAMICS AND PAINTING LORENZ CHAOS
inferred← citeshttps://doi.org/10.1142/s0218127412300327openalex-snapshot
SHRIMPS: OCCURRENCE, SCALING AND RELEVANCE
inferred← citeshttps://doi.org/10.1142/s0218127412501295openalex-snapshot
HOMOCLINIC INTERACTIONS NEAR A TRIPLE-ZERO DEGENERACY IN CHUA'S EQUATION
inferred← citeshttps://doi.org/10.1142/s0218127414300250openalex-snapshot
The Negative Side of Chua's Circuit Parameter Space: Stability Analysis, Period-Adding, Basin of Attraction Metamorphoses, and Experimental Investigation
inferred← citeshttps://doi.org/10.1142/s0218127418501237openalex-snapshot
Fold-Pitchfork Bifurcation, Arnold Tongues and Multiple Chaotic Attractors in a Minimal Network of Three Sigmoidal Neurons
inferred← citeshttps://doi.org/10.1142/s0218127423300331openalex-snapshot
Spikes Adding to Infinity on Period-1 Orbits to Chaos in the Rössler System
inferred← citeshttps://doi.org/10.1142/s0218127423500839openalex-snapshot
Existence, Number and Stability of Periodic Orbits Induced by Homoclinic Loops in Three-Dimensional Piecewise Linear Systems with an Admissible Saddle-Focus
inferred← citeshttps://doi.org/10.1142/s0218127423501584openalex-snapshot
Grazing, Homoclinic Orbits and Chaos in a Single-Loop Feedback System with a Discontinuous Function
inferred← citeshttps://doi.org/10.1142/s0218127424500354openalex-snapshot
Bifurcations of Sliding Heteroclinic Cycles in Three-Dimensional Filippov Systems
inferred← citeshttps://doi.org/10.11540/bjsiam.7.4_271openalex-snapshot
分岐図再構成 : 時系列信号からの係数族推定( 力学系理論-応用数理における新しい展開)
inferred← citeshttps://doi.org/10.1175/1520-0485(2001)031<2669:gbosti>2.0.co;2openalex-snapshot
Global Bifurcation of Shilnikov Type in a Double-Gyre Ocean Model
inferred← citeshttps://doi.org/10.1209/0295-5075/12/7/004openalex-snapshot
Universal Geometry in the Parameter Plane of Dissipative Dynamical Systems
inferred← citeshttps://doi.org/10.1209/0295-5075/6/4/010openalex-snapshot
Shilnikov Dynamics in a Passive Q -Switching Laser
inferred← citeshttps://doi.org/10.1209/0295-5075/6/8/002openalex-snapshot
Experimental Characterization of Shil'nikov Chaos by Statistics of Return Times
inferred← citeshttps://doi.org/10.1364/josab.8.000239openalex-snapshot
Homoclinic chaos in a laser containing a saturable absorber
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