Generation of multi-scroll attractors without equilibria via piecewise linear systems

DOI10.1063/1.4983523zbMath1387.37033arXiv1703.08579OpenAlexW3100468056WikidataQ47818828 ScholiaQ47818828MaRDI QIDQ4642597

R. J. Escalante-González, Eric Campos-Cantón, Matthew Nicol

Publication date: 23 May 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08579

zbMATH Keywords

chaotic behaviormultiscroll attractor

Mathematics Subject Classification ID

Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (12)

Multistable systems with hidden and self-excited scroll attractors generated via piecewise linear systems ⋮ Dynamic analysis and circuit design of a novel hyperchaotic system with fractional-order terms ⋮ Constructing multi-butterfly attractors based on Sprott C system via non-autonomous approaches ⋮ Chaos Generated by a Class of 3D Three-Zone Piecewise Affine Systems with Coexisting Singular Cycles ⋮ The pseudo-Hopf bifurcation and derived attractors in 3D Filippov linear systems with a Teixeira singularity ⋮ Derivation of a continuous time dynamic planar system with two unstable foci from a three-dimensional chaotic piecewise linear system ⋮ Generation of multi-scroll attractors without equilibria via piecewise linear systems ⋮ Chaotic Features of a Class of Discrete Maps without Fixed Points ⋮ New family of 4-D hyperchaotic and chaotic systems with quadric surfaces of equilibria ⋮ Multiscroll Hyperchaotic System with Hidden Attractors and Its Circuit Implementation ⋮ Multi-scroll hidden attractors with two stable equilibrium points ⋮ A Monoparametric Family of Piecewise Linear Systems to Generate Scroll Attractors via Path-Connected Set of Polynomials

Cites Work

• On the Implementation of the 0–1 Test for Chaos
• Hidden attractors in dynamical systems
• Elementary quadratic chaotic flows with no equilibria
• Chaos in a new fractional-order system without equilibrium points
• Generation of multi-scroll attractors without equilibria via piecewise linear systems

This page was built for publication: Generation of multi-scroll attractors without equilibria via piecewise linear systems