Bifurcation analysis and linear control of the Newton--Leipnik system

DOI10.1016/j.chaos.2005.04.009zbMath1091.93031OpenAlexW2088913250MaRDI QIDQ813505

Lixin Tian, Xuedi Wang

Publication date: 13 February 2006

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.04.009

zbMATH Keywords

Lyapunov exponents

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (13)

Synchronization of fractional-order chaotic systems with multiple delays by a new approach ⋮ Fractional dynamics in calcium oscillation model ⋮ Controlling Hopf bifurcation of a new modified hyperchaotic Lü system ⋮ Hyperchaotic and quasiperiodic behaviors of a two-photon laser with multi-intermediate states ⋮ Strange attractors in dissipative Nambu mechanics: classical and quantum aspects ⋮ Hyperchaos generated from the Lorenz chaotic system and its control ⋮ Projective synchronization of new hyperchaotic system with fully unknown parameters ⋮ Feedback control and hybrid projective synchronization of a fractional-order Newton-Leipnik system ⋮ ON THE STUDY OF DELAY FEEDBACK CONTROL AND ADAPTIVE SYNCHRONIZATION NEAR SUB-CRITICAL HOPF BIFURCATION ⋮ Stability and chaos of LMSER PCA learning algorithm ⋮ Some chaotic behaviors in a MCA learning algorithm with a constant learning rate ⋮ Nonlinear observer-based impulsive synchronization in chaotic systems with multiple attractors ⋮ Chaos in the Newton-Leipnik system with fractional order

Cites Work

• Determining Lyapunov exponents from a time series
• A linear feedback synchronization theorem for a class of chaotic systems
• Controlling uncertain Lü system using backstepping design.
• Controlling chaotic systems with multiple strange attractors
• Chaos synchronization between linearly coupled chaotic systems.
• Nonlinear feedback-controlled generalized synchronization of spatial chaos
• Tracing control of chaos for the coupled dynamos dynamical system
• BIFURCATION CONTROL: THEORIES, METHODS, AND APPLICATIONS
• BIFURCATION ANALYSIS OF CHEN'S EQUATION

This page was built for publication: Bifurcation analysis and linear control of the Newton--Leipnik system