Homoclinic orbits and an invariant chaotic set in a new 4D piecewise affine systems
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Publication:1800928
DOI10.1007/s11071-018-4335-6zbMath1398.34064OpenAlexW2803715516MaRDI QIDQ1800928
Publication date: 26 October 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-018-4335-6
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (8)
Chaos explosion and topological horseshoe in three-dimensional impacting hybrid systems with a single impact surface ⋮ Heteroclinic Cycles Generated by Piecewise Affine Systems in ℝn ⋮ Chaos emerges from coexisting homoclinic cycles for a class of 3D piecewise systems ⋮ Singular cycles and chaos in a new class of 3D three-zone piecewise affine systems ⋮ Chaos Generated by a Class of 3D Three-Zone Piecewise Affine Systems with Coexisting Singular Cycles ⋮ Existence of homoclinic orbits and heteroclinic cycle in a class of three-dimensional piecewise linear systems with three switching manifolds ⋮ Heteroclinic cycles and chaos in a class of 3D three-zone piecewise affine systems ⋮ Coexisting singular cycles in a class of three-dimensional three-zone piecewise affine systems
Cites Work
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- A new class of 3-dimensional piecewise affine systems with homoclinic orbits
- Dynamical analysis of the generalized Sprott C system with only two stable equilibria
- Global bifurcations and chaos. Analytical methods
- Complex dynamics in a generalized Langford system
- Shilnikov chaos in the Lucas model of endogenous growth
- A new 5D hyperchaotic system based on modified generalized Lorenz system
- Secure communication in wireless sensor networks based on chaos synchronization using adaptive sliding mode control
- The existence of homoclinic orbits in a 4D Lorenz-type hyperchaotic system
- A shooting approach to chaos in the Lorenz equations
- Chaos in three-dimensional hybrid systems and design of chaos generators
- Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity
- Piecewise-smooth dynamical systems. Theory and applications
- Coexistence and Dynamical Connections between Hyperchaos and Chaos in the 4D Rössler System: A Computer-Assisted Proof
- SHILNIKOV CHAOS IN LORENZ-LIKE SYSTEMS
- DYNAMICS OF THE LÜ SYSTEM ON THE INVARIANT ALGEBRAIC SURFACE AND AT INFINITY
- Construction of a Class of Four-Dimensional Piecewise Affine Systems with Homoclinic Orbits
- Complex Dynamics in the Unified Lorenz-Type System
- A UNIFIED LORENZ-TYPE SYSTEM AND ITS CANONICAL FORM
- HORSESHOES NEAR HOMOCLINIC ORBITS FOR PIECEWISE LINEAR DIFFERENTIAL SYSTEMS IN ℝ3
- A CHAOTIC SYSTEM WITH ONE SADDLE AND TWO STABLE NODE-FOCI
- YET ANOTHER CHAOTIC ATTRACTOR
- Deterministic Nonperiodic Flow
- Numerical proof for chemostat chaos of Shilnikov's type
- A NEW CHAOTIC ATTRACTOR COINED
- Canonical piecewise-linear analysis
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Existence of homoclinic connections in continuous piecewise linear systems
- Existence of Chaotic Invariant Set in a Class of 4-Dimensional Piecewise Linear Dynamical Systems
- Detecting Hidden Chaotic Regions and Complex Dynamics in the Self-Exciting Homopolar Disc Dynamo
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