Chaos Generated by a Class of 3D Three-Zone Piecewise Affine Systems with Coexisting Singular Cycles
DOI10.1142/S0218127420502090OpenAlexW3107596609MaRDI QIDQ5138338
Kai Lü, Wenjing Xu, Qi-Gui Yang
Publication date: 3 December 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127420502090
chaosbifurcationdynamical behaviorpiecewise affine systemcoexistence of heteroclinic cyclescoexistence of homoclinic cycles
Nonlinear ordinary differential equations and systems (34A34) Discontinuous ordinary differential equations (34A36) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (4)
Cites Work
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- A new class of 3-dimensional piecewise affine systems with homoclinic orbits
- Fishing principle for homoclinic and heteroclinic trajectories
- A new method to find homoclinic and heteroclinic orbits
- Dynamics of a new Lorenz-like chaotic system
- Global bifurcations and chaos. Analytical methods
- Nonsmooth mechanics. Models, dynamics and control.
- On the existence of heteroclinic cycles in some class of 3-dimensional piecewise affine systems with two switching planes
- Complex dynamics in a generalized Langford system
- On the existence of homoclinic orbits in some class of three-dimensional piecewise affine systems
- Including homoclinic connections and T-point heteroclinic cycles in the same global problem for a reversible family of piecewise linear systems
- Constructive proof of Lagrange stability and sufficient -- necessary conditions of Lyapunov stability for Yang-Chen chaotic system
- The existence of homoclinic orbits in a 4D Lorenz-type hyperchaotic system
- Homoclinic orbits and an invariant chaotic set in a new 4D piecewise affine systems
- A new megastable nonlinear oscillator with infinite attractors
- Systematic construction of high dimensional fractional-order hyperchaotic systems
- Homoclinic orbits and chaos in the generalized Lorenz system
- Heteroclinic cycles and chaos in a class of 3D three-zone piecewise affine systems
- Piecewise-smooth dynamical systems. Theory and applications
- Heteroclinic cycles in a class of 3-dimensional piecewise affine systems
- General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu-Morioka, Lu and Chen systems
- Multiscroll Chaotic Sea Obtained from a Simple 3D System Without Equilibrium
- SHILNIKOV CHAOS IN LORENZ-LIKE SYSTEMS
- Scenario of the Birth of Hidden Attractors in the Chua Circuit
- Complex Dynamics in the Unified Lorenz-Type System
- 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
- A New 7D Hyperchaotic System with Five Positive Lyapunov Exponents Coined
- Strange attractor existence for non-local operators applied to four-dimensional chaotic systems with two equilibrium points
- Generation of multi-scroll attractors without equilibria via piecewise linear systems
- A new method for generating chaotic system with arbitrary shaped distributed attractors
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- A Lorenz-type attractor in a piecewise-smooth system: Rigorous results
- A 3D Autonomous System with Infinitely Many Chaotic Attractors
- A New 6D Hyperchaotic System with Four Positive Lyapunov Exponents Coined
- Multistability in Piecewise Linear Systems versus Eigenspectra Variation and Round Function
- Singular cycles and chaos in a new class of 3D three-zone piecewise affine systems
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