Existence of periodic orbits and chaos in a class of three-dimensional piecewise linear systems with two virtual stable node-foci
type: Item
instance of: scholarly article
title: Existence of periodic orbits and chaos in a class of three-dimensional piecewise linear systems with two virtual stable node-foci
zbMATH Open document ID: 1490.37032
author: Zhouchao Wei
author: Bin Zhu
author: R. J. Escalante-González
published in: Nonlinear Analysis. Hybrid Systems
publication date: 2022-02-10T00:00:00Z
Mathematics Subject Classification ID: 37C27
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37G10
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 34A36
zbMATH DE Number: 7472271
zbMATH Keywords: chaos
zbMATH Keywords: Poincaré map
zbMATH Keywords: piecewise linear systems
zbMATH Keywords: periodic orbit
zbMATH Keywords: virtual stable node-focus
MaRDI profile type: Publication
full work available at URL: j.nahs.2021.101114
OpenAlex ID: W3211211183
cites work: Deterministic Nonperiodic Flow
cites work: Coexisting Hidden Attractors in a 4-D Simplified Lorenz System
cites work: Complex Dynamical Behaviors in a 3D Simple Chaotic Flow with 3D Stable or 3D Unstable Manifolds of a Single Equilibrium
cites work: Hidden Attractors and Dynamical Behaviors in an Extended Rikitake System
cites work: AN UNUSUAL 3D AUTONOMOUS QUADRATIC CHAOTIC SYSTEM WITH TWO STABLE NODE-FOCI
cites work: Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems
cites work: Dynamical behaviors of a chaotic system with no equilibria
cites work: A self-consistent treatment of simple dynamo systems
cites work: Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo
cites work: Hidden attractors in dynamical systems
cites work: PIECEWISE-LINEAR CHAOTIC SYSTEMS WITH A SINGLE EQUILIBRIUM POINT
cites work: A new class of 3-dimensional piecewise affine systems with homoclinic orbits
cites work: Construction of a Class of Four-Dimensional Piecewise Affine Systems with Homoclinic Orbits
cites work: Singular cycles and chaos in a new class of 3D three-zone piecewise affine systems
cites work: Existence of homoclinic orbits and heteroclinic cycle in a class of three-dimensional piecewise linear systems with three switching manifolds
cites work: Generating Shilnikov chaos in 3D piecewise linear systems
cites work: Piecewise-smooth slow-fast systems
cites work: Bifurcations from a center at infinity in 3D piecewise linear systems with two zones
cites work: Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer-van der Pol oscillator
cites work: AN ANALYTICAL PREDICTION OF PERIODIC FLOWS IN THE CHUA CIRCUIT SYSTEM
cites work: Q3089396
cites work: A Hénon-like map inspired by the generalized discrete-time Fitzhugh-Nagumo model
DOI: 10.1016/J.NAHS.2021.101114
description: scientific article; zbMATH DE number 7472271