Stability of traveling wave in a PDE approximation of coupled arrays of Chua's circuit

DOI10.1016/j.jde.2021.12.034zbMath1483.35067OpenAlexW4205297708MaRDI QIDQ2074422

Qing Yu, Ji Li

Publication date: 10 February 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.12.034

zbMATH Keywords

slow-fast systemgeometric singular perturbation theoryEvans function method

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Traveling wave solutions (35C07)

Cites Work

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• Stability of traveling pulses with oscillatory tails in the FitzHugh-Nagumo system
• Stability of fast travelling pulse solutions of the FitzHugh-Nagumo equations
• The Sil'nikov problem, exponential expansion, strong \(\lambda\)-lemma, \(C^ 1\)-linearization, and homoclinic bifurcation
• Geometric singular perturbation theory for ordinary differential equations
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Traveling waves in lattice dynamical systems
• The Fredholm alternative for functional-differential equations of mixed type
• The global structure of traveling waves in spatially discrete dynamical systems
• Spectral and dynamical stability of nonlinear waves
• Chaotic traveling wave solutions in coupled Chua's circuits
• The Bifurcation of Homoclinic and Periodic Orbits from Two Heteroclinic Orbits
• Using Melnikov's method to solve Silnikov's problems
• Electrical Waves in a One-Dimensional Model of Cardiac Tissue
• Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
• The Bifurcations of Countable Connections from a Twisted Heteroclinic Loop
• The Existence of Infinitely Many Traveling Front and Back Waves in the FitzHugh–Nagumo Equations
• TRAVELING WAVE PROPAGATION IN A ONE-DIMENSIONAL FLUCTUATING MEDIUM
• SPATIOTEMPORAL STRUCTURES IN DISCRETELY-COUPLED ARRAYS OF NONLINEAR CIRCUITS: A REVIEW
• Stability of Travelling Multiple-Front (Multiple-Back) Wave Solutions of the FitzHugh--Nagumo Equations
• Stability of N-Fronts Bifurcating from a Twisted Heteroclinic Loop and an Application to the Fitzhugh--Nagumo Equation
• On the Existence and Stability of Fast Traveling Waves in a Doubly Diffusive FitzHugh--Nagumo System
• HETEROCLINIC ORBITS ARISING FROM COUPLED CHUA'S CIRCUITS
• Eigenvalues, and instabilities of solitary waves
• Pulse Replication and Accumulation of Eigenvalues
• Opening the Maslov box for traveling waves in skew-gradient systems: counting eigenvales and proving (in)stability

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