The complicated trajectory behaviors in the Lorenz equation

DOI10.1016/S0960-0779(03)00243-1zbMath1053.37016OpenAlexW1966189804MaRDI QIDQ1433577

Yun Tang, Tianshou Zhou, Haohui Liao, Zuo-huan Zheng

Publication date: 1 July 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(03)00243-1

zbMATH Keywords

Lorenz systemLorenz attractorPoincaré projectionnontrivial trajectory

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (12)

A universal unfolding of the Lorenz system ⋮ The chaotic region of Lorenz-type system in the parametric space ⋮ Chaotic systems with asymmetric heavy-tailed noise: application to 3D attractors ⋮ Conjugate Lorenz-type chaotic attractors ⋮ Numerical investigation of the instability of Bénard problem ⋮ Tetrapterous butterfly attractors in modified Lorenz systems ⋮ CLASSIFICATION OF CHAOS IN 3-D AUTONOMOUS QUADRATIC SYSTEMS-I: BASIC FRAMEWORK AND METHODS ⋮ A UNIFIED LORENZ-TYPE SYSTEM AND ITS CANONICAL FORM ⋮ A CHAOTIC SYSTEM WITH ONE SADDLE AND TWO STABLE NODE-FOCI ⋮ Global chaos synchronization of new chaotic systems via nonlinear control ⋮ Ši'lnikov chaos in the generalized Lorenz canonical form of dynamical systems ⋮ AN EXTENDED ŠIL'NIKOV HOMOCLINIC THEOREM AND ITS APPLICATIONS

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