Homoclinic orbits and an invariant chaotic set in a new 4D piecewise affine systems
type: Item
instance of: scholarly article
title: Homoclinic orbits and an invariant chaotic set in a new 4D piecewise affine systems
zbMATH Open document ID: 1398.34064
published in: Nonlinear Dynamics
publication date: 2018-10-26T00:00:00Z
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 37C29
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 6966111
zbMATH Keywords: chaos
zbMATH Keywords: homoclinic orbit
zbMATH Keywords: Poincaré map
zbMATH Keywords: piecewise affine system
author: Qi-Gui Yang
author: Kai Lu
MaRDI profile type: Publication
full work available at URL: s11071-018-4335-6
OpenAlex ID: W2803715516
cites work: Deterministic Nonperiodic Flow
cites work: Canonical piecewise-linear analysis
cites work: Nonlinear dynamics and chaos. With applications to physics, biology, chemistry, and engineering
cites work: Secure communication in wireless sensor networks based on chaos synchronization using adaptive sliding mode control
cites work: YET ANOTHER CHAOTIC ATTRACTOR
cites work: A NEW CHAOTIC ATTRACTOR COINED
cites work: A UNIFIED LORENZ-TYPE SYSTEM AND ITS CANONICAL FORM
cites work: A CHAOTIC SYSTEM WITH ONE SADDLE AND TWO STABLE NODE-FOCI
cites work: DYNAMICS OF THE LÜ SYSTEM ON THE INVARIANT ALGEBRAIC SURFACE AND AT INFINITY
cites work: Dynamical analysis of the generalized Sprott C system with only two stable equilibria
cites work: Complex Dynamics in the Unified Lorenz-Type System
cites work: Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity
cites work: A new 5D hyperchaotic system based on modified generalized Lorenz system
cites work: HORSESHOES NEAR HOMOCLINIC ORBITS FOR PIECEWISE LINEAR DIFFERENTIAL SYSTEMS IN ℝ3
cites work: Q4264342
cites work: Q4947577
cites work: Global bifurcations and chaos. Analytical methods
cites work: Shilnikov chaos in the Lucas model of endogenous growth
cites work: Numerical proof for chemostat chaos of Shilnikov's type
cites work: Detecting Hidden Chaotic Regions and Complex Dynamics in the Self-Exciting Homopolar Disc Dynamo
cites work: Complex dynamics in a generalized Langford system
cites work: Coexistence and dynamical connections between hyperchaos and chaos in the 4D Rössler system: a computer-assisted proof
cites work: Q4888828
cites work: A shooting approach to chaos in the Lorenz equations
cites work: Shilnikov chaos in Lorenz-like systems
cites work: The existence of homoclinic orbits in a 4D Lorenz-type hyperchaotic system
cites work: Existence of homoclinic connections in continuous piecewise linear systems
cites work: Piecewise-smooth dynamical systems. Theory and applications
cites work: Chaos in three-dimensional hybrid systems and design of chaos generators
cites work: A new class of 3-dimensional piecewise affine systems with homoclinic orbits
cites work: Existence of Chaotic Invariant Set in a Class of 4-Dimensional Piecewise Linear Dynamical Systems
cites work: Construction of a Class of Four-Dimensional Piecewise Affine Systems with Homoclinic Orbits
cites work: Introduction to Applied Nonlinear Dynamical Systems and Chaos
DOI: 10.1007/S11071-018-4335-6
Recommended article: Construction of a Class of Four-Dimensional Piecewise Affine Systems with Homoclinic Orbits
Recommended article: Existence of Chaotic Invariant Set in a Class of 4-Dimensional Piecewise Linear Dynamical Systems
Recommended article: Chaotic Dynamics in Four-Dimensional Piecewise Affine Systems with Bifocal Heteroclinic Cycles
Recommended article: The existence of homoclinic orbits in a 4D Lorenz-type hyperchaotic system
Recommended article: Homoclinic orbits in a piecewise system and their relation with invariant sets
Recommended article: Homoclinic orbits and chaos in three– and four–dimensional flows
Recommended article: On the existence of homoclinic orbits in \(n\)-dimensional piecewise affine systems
Recommended article: Q4486823
Recommended article: On the existence of bifocal heteroclinic cycles in a class of four-dimensional piecewise affine systems
Recommended article: Chaos in a four-variable piecewise-linear system of differential equations
description: scientific article; zbMATH DE number 6966111