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Homoclinic orbits and mixed-mode oscillations in far-from-equilibrium systems
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Period Three Implies Chaos
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors
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Differentiable Dynamical Systems
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Periodic and Nonperiodic Dynamical Behavior Near Homoclinic Systems
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Dynamic Instabilities Observed in the Belousov-Zhabotinsky System
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Knotted periodic orbits in suspensions of Smale's horseshoe: Torus knots and bifurcation sequences
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The study of periodic orbits of dynamical systems. The use of a computer
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Local and global behavior near homoclinic orbits
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Bifurcation phenomena near homoclinic systems: A two-parameter analysis
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Oscillators with chaotic behavior: An illustration of a theorem by Shil'nikov
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Discovery of closed orbits of dynamical systems with the use of computers
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
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Intermittent transition to turbulence in dissipative dynamical systems
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Bifurcation to infinitely many sinks
inferredcites →https://doi.org/10.1007/bfb0091922openalex-snapshot
On the bifurcations creating horseshoes
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Novel, multiple-stage ignitions in the spontaneous combustion of acetaldehyde
inferredcites →https://doi.org/10.1016/0040-9383(73)90018-9openalex-snapshot
K(Π,1)'s in characteristic p>0
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Diffeomorphisms with infinitely many sinks
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Alternating periodic and chaotic regimes in a chemical reaction — Experiment and theory
inferredcites →https://doi.org/10.1016/0375-9601(81)90626-5openalex-snapshot
A dynamical model for periodic and chaotic oscillations in the Belousov-Zhabotinsky reaction
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On the rate of approach to homoclinic tangency
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Generation of a countable set of homoclinic flows through bifurcation
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Bifurcation sequences in horseshoe maps: Infinitely many routes to chaos
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Experimental evidence for homoclinic chaos in the Belousov-Zhabotinskii reaction
inferredcites →https://doi.org/10.1016/b978-0-08-010207-8.50006-xopenalex-snapshot
ORDINARY DIFFERENTIAL EQUATIONS
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Systematic design of chemical oscillators. Part 13. Complex periodic and aperiodic oscillation in the chlorite-thiosulfate reaction
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/10.1063/1.449025openalex-snapshot
A thermokinetic model of complex oscillations in gaseous hydrocarbon oxidation
inferredcites →https://doi.org/10.1070/sm1972v017n04abeh001597openalex-snapshot
ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. I
inferredcites →https://doi.org/10.1070/sm1973v019n01abeh001741openalex-snapshot
ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. II
inferredcites →https://doi.org/10.1080/00029890.1975.11994008openalex-snapshot
Period Three Implies Chaos
inferredcites →https://doi.org/10.1098/rspa.1984.0120openalex-snapshot
Ignitions, extinctions and thermokinetic oscillations accompanying the oxidation of ethane in an open system (continuously stirred tank reactor)
inferredcites →https://doi.org/10.1103/physrevlett.49.245openalex-snapshot
One-Dimensional Dynamics in a Multicomponent Chemical Reaction
inferredcites →https://doi.org/10.1111/j.1749-6632.1979.tb29504.xopenalex-snapshot
OBSERVATIONS OF COMPLEX DYNAMIC BEHAVIOR IN THE H2—O2 REACTION ON NICKEL*
inferredcites →https://doi.org/10.1137/1.9780898719222openalex-snapshot
Ordinary Differential Equations
inferredcites →https://doi.org/10.1201/9780203734636-14openalex-snapshot
One-Dimensional Dynamics in a Multicomponent Chemical Reaction
inferredcites →https://doi.org/10.1515/zna-1976-3-408openalex-snapshot
Chaotic Behavior in Simple Reaction Systems
inferredcites →https://doi.org/10.2307/2322694openalex-snapshot
The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle
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Homoclinic tangencies in an autocatalytic model of interfacial processes at the bone surface
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90293-aopenalex-snapshot
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Bifurcations of mixed-mode oscillations in a three-variable autonomous Van der Pol-Duffing model with a cross-shaped phase diagram
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Homoclinic phenomena in opto-thermal bistability with localized absorption
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Successive homoclinic tangencies to a limit cycle
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Bursting oscillations from a homoclinic tangency in a time delay system
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Complex oscillations and waves of calcium in pancreatic acinar cells
inferred← citeshttps://doi.org/10.1016/j.physd.2005.08.004openalex-snapshot
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Chapter 5 Global behaviour in the oxidation of hydrogen, carbon monoxide and simple hydrocarbons
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New type of complex dynamics in the 1:2 spatial resonance
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inferred← citeshttps://doi.org/10.1016/s0167-2789(99)00037-8openalex-snapshot
Type-II intermittency in the driven Double Scroll Circuit
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(99)00139-9openalex-snapshot
Effect of slow manifold structure on relaxation oscillations and one-dimensional map in a model for plastic instability
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Complex and non-periodic oscillations in the H2+O2 reaction
inferred← citeshttps://doi.org/10.1039/ft9908603701openalex-snapshot
Period doubling and chaos during the oscillatory ignition of the CO + O2 reaction
inferred← citeshttps://doi.org/10.1063/1.1397757openalex-snapshot
Global bifurcations in a laser with injected signal: Beyond Adler’s approximation
inferred← citeshttps://doi.org/10.1063/1.2904861openalex-snapshot
Experimental bifurcations and homoclinic chaos in a laser with a saturable absorber
inferred← citeshttps://doi.org/10.1063/1.3378112openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.455667openalex-snapshot
Complex oscillations in the combustion of acetaldehyde
inferred← citeshttps://doi.org/10.1063/1.460878openalex-snapshot
Measurements and calculations of oscillations and phase relations in the driven gas-phase combustion of acetaldehyde
inferred← citeshttps://doi.org/10.1063/1.462377openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.466545openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.4954876openalex-snapshot
Unfolding homoclinic connections formed by corner intersections in piecewise-smooth maps
inferred← citeshttps://doi.org/10.1063/1.5042078openalex-snapshot
Bottom-up approach to torus bifurcation in neuron models
inferred← citeshttps://doi.org/10.1088/0951-7715/20/4/001openalex-snapshot
Homoclinic bifurcations in a neutral delay model of a transmission line oscillator
inferred← citeshttps://doi.org/10.1088/0951-7715/4/3/007openalex-snapshot
Homoclinic orbits in the dynamics of articulated pipes conveying fluid
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Return maps for intensity and time in a homoclinic-chaos model applied to a laser with a saturable absorber
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Multiparameter bifurcations and mixed-mode oscillations in Q -switched CO2 lasers
inferred← citeshttps://doi.org/10.1103/physreve.92.042922openalex-snapshot
Various oscillation patterns in phase models with locally attractive and globally repulsive couplings
inferred← citeshttps://doi.org/10.1103/physrevlett.100.225005openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physrevlett.68.2770openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physrevlett.76.546openalex-snapshot
Wave-Induced Chemical Chaos
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A Very Small Chaotic Neural Net
inferred← citeshttps://doi.org/10.1109/iscas.1989.100802openalex-snapshot
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Scaling Laws for Large Numbers of Coexisting Attracting Periodic Solutions in the Border-Collision Normal Form
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Geometry of Mixed-Mode Oscillations in the 3-D Autocatalator
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Solitary Waves and Homoclinic Orbits
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Homoclinic chaos in a laser containing a saturable absorber
inferred← citeshttps://doi.org/10.1364/nldos.1990.oc512openalex-snapshot
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