Chaotic traveling wave solutions in coupled Chua's circuits
DOI10.1007/s10884-017-9631-1zbMath1423.34044OpenAlexW2772030249MaRDI QIDQ2318463
Xiao-Biao Lin, Fengjie Geng, Xing Bo Liu
Publication date: 15 August 2019
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-017-9631-1
Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Analytic circuit theory (94C05) Complex behavior and chaotic systems of ordinary differential equations (34C28) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Ordinary lattice differential equations (34A33) Traveling wave solutions (35C07)
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Cites Work
- Fast and slow waves in the FitzHugh-Nagumo equation
- Transversal heteroclinic and homoclinic orbits in singular perturbation problems
- Heteroclinic bifurcation and singularly perturbed boundary value problems
- Transversal heteroclinic points and Cherry's example of a nonintegrable Hamiltonian system
- Dynamical systems. C.I.M.E. Lectures, Bressanone, Italy, June 1978
- Geometric singular perturbation theory for ordinary differential equations
- Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation
- Existence of dichotomies and invariant splittings for linear differential systems. I
- Multiple internal layer solutions generated by spatially oscillatory perturbations
- Heteroclinic orbits in singular systems: A unifying approach
- Tracking invariant manifolds with differential forms in singularly perturbed systems
- Singularly perturbed and nonlocal modulation equations for systems with interacting instability mechanisms
- Exponential dichotomies and transversal homoclinic points
- Transition layers in singular perturbation problems
- Construction and asymptotic stability of structurally stable internal layer solutions
- Using Melnikov's method to solve Silnikov's problems
- ANYONE CAN BUILD CHUA'S CIRCUIT: HANDS-ON-EXPERIENCE WITH CHAOS THEORY FOR HIGH SCHOOL STUDENTS
- Shadowing Lemma and Singularly Perturbed Boundary Value Problems
- SPATIOTEMPORAL STRUCTURES IN DISCRETELY-COUPLED ARRAYS OF NONLINEAR CIRCUITS: A REVIEW
- A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
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