Bifurcations and chaotic behavior on the Lanford system

DOI10.1016/j.chaos.2003.12.040zbMath1051.37015OpenAlexW1973079868MaRDI QIDQ1878254

Svetoslav Nikolov, Bozhan Bozhkov

Publication date: 19 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.12.040

zbMATH Keywords

Lyapunov exponentchaotic solutionsbifurcation behaviorLanford system

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 (9)

LOCALIZATION OF COMPACT INVARIANT SETS OF NONLINEAR SYSTEMS WITH APPLICATIONS TO THE LANFORD SYSTEM ⋮ Steady-state and Hopf bifurcations in the Langford ODE and PDE systems ⋮ Complex dynamics in a generalized Langford system ⋮ Amplitude control of limit cycles in Langford system ⋮ Langford model: dynamics, bifurcations, attractors ⋮ Stability and Hopf bifurcation in the general Langford system ⋮ Perturbations of the Lanford System Which Do Not Change the Reflecting Function ⋮ Completely integrable dynamical systems of Hopf-Langford type ⋮ Exponential-Algebraic Maps and Chaos in 3D Autonomous Quadratic Systems

Uses Software

• TISEAN

Cites Work

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• Practical implementation of nonlinear time series methods: The <scp>TISEAN</scp> package
• NEW RESULTS ABOUT ROUTE TO CHAOS IN ROSSLER SYSTEM
• BIFURCATION DYNAMICS OF THREE-DIMENSIONAL SYSTEMS
• A mathematical example displaying features of turbulence
• Analytical investigation of the onset of bifurcation cascade in two logistic-like maps.

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