Homoclinic orbits and chaos in the generalized Lorenz system

DOI10.3934/DCDSB.2019210zbMath1450.34029OpenAlexW2971991931WikidataQ127241471 ScholiaQ127241471MaRDI QIDQ2284925

Ting Yang

Publication date: 15 January 2020

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2019210

zbMATH Keywords

chaosLyapunov functionshomoclinic orbitsfishing principlegeneralized Lorenz system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Existence of homoclinic orbit of Shilnikov type and the application in Rössler system ⋮ Multistability and Hidden Attractors in a Three-Dimensional Chaotic System ⋮ Chaos Generated by a Class of 3D Three-Zone Piecewise Affine Systems with Coexisting Singular Cycles ⋮ Coexisting singular cycles in a class of three-dimensional three-zone piecewise affine systems ⋮ Multistability in a 3D Autonomous System with Different Types of Chaotic Attractors

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