REGULAR AND CHAOTIC DYNAMICS OF THE LORENZ–STENFLO SYSTEM

DOI10.1142/S0218127410025466zbMath1183.34065MaRDI QIDQ5306420

João C. Xavier-Júnior, Paulo C. Rech

Publication date: 9 April 2010

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

nonlinear differential equationsparameter-spaceLorenz-Stenflo systemphase-space

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

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Adaptive single input control for synchronization of a 4D Lorenz-Stenflo chaotic system ⋮ Spiral periodic structures in a parameter plane of an ecological model ⋮ Periodic and Chaotic Dynamics of the Ehrhard–Müller System ⋮ Hyperchaotic states in the parameter-space ⋮ Nonlinear dynamic analysis and synchronization of four-dimensional Lorenz-Stenflo system and its circuit experimental implementation ⋮ Homoclinic saddle to saddle-focus transitions in 4D systems ⋮ Dynamics of stochastic Lorenz-Stenflo system ⋮ Coexisting Attractors in a Physically Extended Lorenz System ⋮ Characteristic Analysis and DSP Realization of Fractional-Order Simplified Lorenz System Based on Adomian Decomposition Method ⋮ Multistability for nonlinear acoustic-gravity waves in a rotating atmosphere ⋮ Lyapunov exponent diagrams of a 4-dimensional Chua system

Cites Work

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• Self-similar structures in a 2D parameter-space of an inductorless Chua's circuit
• Bifurcation behavior of the generalized Lorenz equations at large rotation numbers
• The bifurcation characteristics of the generalized Lorenz equations
• Periodic and chaotic solutions of the generalized lorenz equations
• Deterministic Nonperiodic Flow
• Chaotic Scenario in the Stenflo Equations
• Introduction to Applied Nonlinear Dynamical Systems and Chaos

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