NEW RESULTS ABOUT ROUTE TO CHAOS IN ROSSLER SYSTEM

DOI10.1142/S0218127404009065zbMath1099.37505MaRDI QIDQ4655566

V. G. Petrov, Svetoslav Nikolov

Publication date: 8 March 2005

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

zbMATH Keywords

chaosbifurcation analysisFirst Lyapunov value

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (8)

Bifurcations and chaotic behavior on the Lanford system ⋮ Qualitative analysis of the Rössler equations: bifurcations of limit cycles and chaotic attractors ⋮ Qualitative and numerical analysis of the Rössler model: bifurcations of equilibria ⋮ Localization of periodic orbits of the Rössler system under variation of its parameters ⋮ FIRST LYAPUNOV VALUE AND BIFURCATION BEHAVIOR OF SPECIFIC CLASS OF THREE-DIMENSIONAL SYSTEMS ⋮ An alternative bifurcation analysis of the Rose--Hindmarsh model ⋮ Bifurcation analysis and dynamic behaviour of an inverted pendulum with bounded control ⋮ BISTABILITY AND SELF-OSCILLATIONS IN CELL CYCLE CONTROL

Cites Work

• An equation for continuous chaos
• Chaos
• Unnamed Item

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