Chaotic traveling wave solutions in coupled Chua's circuits
type: Item
instance of: scholarly article
title: Chaotic traveling wave solutions in coupled Chua's circuits
zbMATH Open document ID: 1423.34044
author: Fengjie Geng
author: Xiao-Biao Lin
author: Xingbo Liu
published in: Journal of Dynamics and Differential Equations
publication date: 2019-08-15T00:00:00Z
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34A33
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 94C05
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 7094461
zbMATH Keywords: coupled Chua's circuits
zbMATH Keywords: traveling waves
zbMATH Keywords: heteroclinic orbits
zbMATH Keywords: Shilnikov's chaos
zbMATH Keywords: Melnikov integral
MaRDI profile type: Publication
full work available at URL: s10884-017-9631-1
OpenAlex ID: W2772030249
cites work: Heteroclinic orbits in singular systems: A unifying approach
cites work: Traveling wave solutions in coupled Chua's circuits. I: Periodic solutions
cites work: Singularly perturbed and nonlocal modulation equations for systems with interacting instability mechanisms
cites work: Q4152895
cites work: Q3853988
cites work: Q5658861
cites work: Q4141818
cites work: Geometric singular perturbation theory for ordinary differential equations
cites work: Transition layers in singular perturbation problems
cites work: Q4510160
cites work: ANYONE CAN BUILD CHUA'S CIRCUIT: HANDS-ON-EXPERIENCE WITH CHAOS THEORY FOR HIGH SCHOOL STUDENTS
cites work: Dynamical systems. C.I.M.E. Lectures, Bressanone, Italy, June 1978
cites work: Multiple internal layer solutions generated by spatially oscillatory perturbations
cites work: Q4847945
cites work: Tracking invariant manifolds with differential forms in singularly perturbed systems
cites work: Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation
cites work: Fast and slow waves in the FitzHugh-Nagumo equation
cites work: Shadowing Lemma and Singularly Perturbed Boundary Value Problems
cites work: Using Melnikov's method to solve Silnikov's problems
cites work: Heteroclinic bifurcation and singularly perturbed boundary value problems
cites work: Construction and asymptotic stability of structurally stable internal layer solutions
cites work: Q3785642
cites work: Q5508470
cites work: SPATIOTEMPORAL STRUCTURES IN DISCRETELY-COUPLED ARRAYS OF NONLINEAR CIRCUITS: A REVIEW
cites work: Q3310978
cites work: Exponential dichotomies and transversal homoclinic points
cites work: Transversal heteroclinic points and Cherry's example of a nonintegrable Hamiltonian system
cites work: Existence of dichotomies and invariant splittings for linear differential systems. I
cites work: A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
cites work: Transversal heteroclinic and homoclinic orbits in singular perturbation problems
DOI: 10.1007/S10884-017-9631-1
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description: scientific article