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Elements of Applied Bifurcation Theory

https://doi.org/10.1007/978-3-031-22007-4
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Introduction
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A Few Notions of Stability and Bifurcation Theory
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Bifurcation Theory
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Strong resonance bifurcations for a discrete-time prey–predator model
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Dynamical analysis of a stage-structured food-chain model under fear effect and anti-predator behavior
inferred← citeshttps://doi.org/10.1007/s12346-023-00790-3openalex-snapshot
Phenomenology of an In-host Model of Hepatitis C
inferred← citeshttps://doi.org/10.1007/s12346-025-01253-7openalex-snapshot
Coexistence of Limit Cycles and Homoclinic Loops in a Leslie-Gower Model with Allee Effect
inferred← citeshttps://doi.org/10.1007/s12346-025-01332-9openalex-snapshot
Bifurcation Analysis, Chaos Control and Complex Dynamics of a Discrete Prey-Predator System Incorporating an Ivlev Functional Response with an Allee Effect
inferred← citeshttps://doi.org/10.1007/s12539-012-0116-yopenalex-snapshot
Stability and sustained oscillations in a ventricular cardiomyocyte model
inferred← citeshttps://doi.org/10.1007/s12555-019-0403-zopenalex-snapshot
The Existence and Stability Analysis of Periodic Solution of Izhikevich Model
inferred← citeshttps://doi.org/10.1007/s12576-019-00667-8openalex-snapshot
Integrative and theoretical research on the architecture of a biological system and its disorder
inferred← citeshttps://doi.org/10.1007/s12591-014-0209-7openalex-snapshot
Effects of Allochthonous Resources in a Three Species Food Chain Model with Harvesting
inferred← citeshttps://doi.org/10.1007/s12591-016-0307-9openalex-snapshot
Dynamical Behaviour of an Epidemic Model with Disease in Top-Predator Population Only: A Bifurcation Study
inferred← citeshttps://doi.org/10.1007/s12591-024-00698-7openalex-snapshot
Complex Dynamics in a Predator–Prey Model with Fear Affected Transmission
inferred← citeshttps://doi.org/10.1007/s13160-022-00521-2openalex-snapshot
A mathematical treatment of the bump structure of particle-laden flows with particle features
inferred← citeshttps://doi.org/10.1007/s13160-024-00661-7openalex-snapshot
Existence and stability of a quasi-periodic two-dimensional motion of a self-propelled particle
inferred← citeshttps://doi.org/10.1007/s13198-023-01928-xopenalex-snapshot
Comparative qualitative analysis and numerical solution of conformable fractional derivative generalized KdV-mKdV equation
inferred← citeshttps://doi.org/10.1007/s40096-022-00494-wopenalex-snapshot
Theoretical and numerical bifurcation analysis of a predator–prey system with ratio-dependence
inferred← citeshttps://doi.org/10.1007/s40314-024-02603-yopenalex-snapshot
Unveiling the dynamics of canard cycles and global behaviour in a singularly perturbed predator–prey system with Allee effect in predator
inferred← citeshttps://doi.org/10.1007/s40324-021-00271-0openalex-snapshot
Dynamical analysis and encryption key-distribution application of new q-deformed reduced Lorenz system
inferred← citeshttps://doi.org/10.1007/s40435-020-00637-8openalex-snapshot
Generalized flip and strong resonances bifurcations of a predator–prey model
inferred← citeshttps://doi.org/10.1007/s40435-026-02265-0openalex-snapshot
Transcritical and Hopf bifurcations in a delayed Bass diffusion model with feedback control
inferred← citeshttps://doi.org/10.1007/s40995-025-01790-5openalex-snapshot
Exploring Neimark-Sacker Bifurcation and Chaos Control in a Tri-species Discrete-Time Model
inferred← citeshttps://doi.org/10.1007/s42417-021-00342-6openalex-snapshot
Dynamics Modeling and Bifurcation Analysis for Valve-Controlled Hydraulic Cylinder System Containing Counterbalance Valves
inferred← citeshttps://doi.org/10.1007/s42417-022-00518-8openalex-snapshot
Coexistence of Attractors and Its Control with Selection of a Desired Attractor in a Model of Extended Hindmarsh–Rose Neuron with Nonlinear Smooth Fitting Function: Microcontroller Implementation
inferred← citeshttps://doi.org/10.1007/s42417-025-02274-xopenalex-snapshot
Nonlinear Shimmy Dynamics Analysis of Fuselage-Nose Landing Gear Coupled Systems with Structural Clearance
inferred← citeshttps://doi.org/10.1007/s42417-026-02693-4openalex-snapshot
Different Complete Basis for Displacement Field Expansion of Plates and Circular Cylindrical Shells in Nonlinear Dynamic Analysis
inferred← citeshttps://doi.org/10.1007/s44425-026-00039-6openalex-snapshot
Normal Hyperbolicity in Secondary Hopf Bifurcations
inferred← citeshttps://doi.org/10.1016/b978-0-12-814368-1.09992-6openalex-snapshot
Bibliogrpahy
inferred← citeshttps://doi.org/10.1016/j.amc.2016.01.045openalex-snapshot
Nonlinear dynamics of a Cournot duopoly game with differentiated products
inferred← citeshttps://doi.org/10.1016/j.ast.2024.109525openalex-snapshot
Effect of Hopf-Hopf bifurcation on the post-flutter behavior of a three-degree-of-freedom airfoil
inferred← citeshttps://doi.org/10.1016/j.bpj.2016.07.027openalex-snapshot
Identification of Bifurcations from Observations of Noisy Biological Oscillators
inferred← citeshttps://doi.org/10.1016/j.chaos.2022.111892openalex-snapshot
Detection of subcritical Hopf and fold bifurcations in an aeroelastic system via the Describing Function method
inferred← citeshttps://doi.org/10.1016/j.chaos.2024.115317openalex-snapshot
Dynamical variability, order-chaos transitions, and bursting Canards in the memristive Rulkov neuron model
inferred← citeshttps://doi.org/10.1016/j.chaos.2024.115593openalex-snapshot
Three limit cycles in the Kim–Forger model of the mammalian circadian clock
inferred← citeshttps://doi.org/10.1016/j.cja.2020.10.030openalex-snapshot
Parameter effects on high-speed UAV ground directional stability using bifurcation analysis
inferred← citeshttps://doi.org/10.1016/j.cnsns.2013.10.029openalex-snapshot
Smooth and non-smooth traveling wave solutions of some generalized Camassa–Holm equations
inferred← citeshttps://doi.org/10.1016/j.cnsns.2020.105455openalex-snapshot
Dynamical transition theory of hexagonal pattern formations
inferred← citeshttps://doi.org/10.1016/j.cnsns.2024.108189openalex-snapshot
Invariant manifolds in a reversible Hamiltonian system: The tentacle-like geometry
inferred← citeshttps://doi.org/10.1016/j.cnsns.2025.108941openalex-snapshot
Deflation-based certified greedy algorithm and adaptivity for bifurcating nonlinear PDEs
inferred← citeshttps://doi.org/10.1016/j.cnsns.2025.109543openalex-snapshot
Transcritical and Neimark-Sacker bifurcations of a discrete predator-prey model of γ-Ricker type with double Allee effect in the prey population
inferred← citeshttps://doi.org/10.1016/j.csfx.2019.100010openalex-snapshot
The dynamics of two-stage contagion
inferred← citeshttps://doi.org/10.1016/j.ecolmodel.2025.111353openalex-snapshot
Analysis of cyclic population dynamics of snow crab in the southern Gulf of St. Lawrence using a stage-structured discrete-time population model
inferred← citeshttps://doi.org/10.1016/j.ifacol.2025.07.059openalex-snapshot
From Dissensus to Consensus: Bias-Controlled Transition in Nonlinear Opinion Dynamics
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2009.05.009openalex-snapshot
Discontinuity-induced bifurcations in systems with impacts and friction: Discontinuities in the impact law
inferred← citeshttps://doi.org/10.1016/j.jde.2022.02.002openalex-snapshot
Dynamics of delayed neural field models in two-dimensional spatial domains
inferred← citeshttps://doi.org/10.1016/j.jde.2023.10.026openalex-snapshot
A finding of the maximal saddle-node bifurcation for systems of differential equations
inferred← citeshttps://doi.org/10.1016/j.jde.2025.01.064openalex-snapshot
Periodic normal forms for bifurcations of limit cycles in DDEs
inferred← citeshttps://doi.org/10.1016/j.jmaa.2019.03.031openalex-snapshot
Dynamics and pattern formation in a diffusive predator-prey system
showing the first 200 of 550
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