Generating Shilnikov chaos in 3D piecewise linear systems

DOI10.1016/j.amc.2020.125877OpenAlexW3116546756MaRDI QIDQ2663836

Hugo G. González-Hernández, Arturo Franco-López, Juan Gonzalo Barajas-Ramírez

Publication date: 20 April 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125877

zbMATH Keywords

chaotic dynamicslinear time-invariant systemshomoclinic/heteroclinic orbits

Mathematics Subject Classification ID

Discontinuous ordinary differential equations (34A36) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Numerical chaos (65P20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Existence of periodic orbits and chaos in a class of three-dimensional piecewise linear systems with two virtual stable node-foci ⋮ Coexisting singular cycles in a class of three-dimensional three-zone piecewise affine systems

Cites Work

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• Equilibria, periodic orbits around equilibria, and heteroclinic connections in the gravity field of a rotating homogeneous cube
• An example of chaotic behaviour in presence of a sliding homoclinic orbit
• Constructing piecewise linear chaotic system based on the heteroclinic Shil'nikov theorem
• Switching control of linear systems for generating chaos
• Bifurcation and chaos near sliding homoclinics
• Generating chaos for a class of linear switching control systems: a hybrid approach
• Chaotification of a class of linear switching systems based on a Shilnikov criterion
• Chaos induced by sliding phenomena in Filippov systems
• Chaotic behavior of driven, second-order, piecewise linear systems
• Generating two simultaneously chaotic attractors with a switching piecewise-linear controller
• Multistable systems with hidden and self-excited scroll attractors generated via piecewise linear systems
• Dissipative chaos, Shilnikov chaos and bursting oscillations in a three-dimensional autonomous system: theory and electronic implementation
• Heteroclinic, Homoclinic and Closed Orbits in the Chen System
• Hyperchaotic Coupled Chua Circuits: An Approach for Generating New n×m-Scroll Attractors
• Chaotification of a Class of Linear Switching Systems by Hybrid Driven Methods
• HORSESHOES NEAR HOMOCLINIC ORBITS FOR PIECEWISE LINEAR DIFFERENTIAL SYSTEMS IN ℝ³
• Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System
• CONSTRUCTING HOMOCLINIC ORBITS AND CHAOTIC ATTRACTORS
• Cellular Neural Networks, Multi-Scroll Chaos and Synchronization
• Shil'nikov's theorem-a tutorial
• A universal circuit for studying and generating chaos. I. Routes to chaos
• Shilnikov chaos, Filippov sliding and boundary equilibrium bifurcations
• Shilnikov problem in Filippov dynamical systems
• Multiscroll attractors by switching systems
• Generating chaotic attractors with multiple merged basins of attraction: a switching piecewise-linear control approach
• DIFFERENTIAL EQUATIONS WITH MULTISPIRAL ATTRACTORS
• GENERATING MULTISCROLL CHAOTIC ATTRACTORS: THEORIES, METHODS AND APPLICATIONS

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