Dynamical analysis, feedback control and synchronization of Liu dynamical system

DOI10.1016/j.na.2007.09.029zbMath1176.34060OpenAlexW2056525521MaRDI QIDQ955630

B. E. Eshmatov

Publication date: 20 November 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.09.029

zbMATH Keywords

stabilityHopf bifurcationlinear feedback controlLiu systemsupercrtitical (subcritical) bifurcation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Bifurcation theory for ordinary differential equations (34C23) Control problems involving ordinary differential equations (34H05) Stability of solutions to ordinary differential equations (34D20) Complex behavior and chaotic systems of ordinary differential equations (34C28) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

• Unnamed Item
• On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
• Controlling, synchronization and tracking chaotic Liu system using active backstepping design
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• An applicable Hopf bifurcation formula and instability of small periodic solutions of the Field-Noyes model
• Study on chaos synchronization in the Belousov-Zhabotinsky chemical system.
• Controlling and synchronizing chaotic Genesio system via nonlinear feedback control.
• The compound structure of a new chaotic attractor.
• A new chaotic attractor
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Adaptive chaos control and synchronization for uncertain new chaotic dynamical system
• An equation for continuous chaos
• Frictional chatter in orthogonal metal cutting
• Existence and stability of periodic solutions of a third-order non-linear autonomous system simulating immune response in animals
• Controlling chaos
• On time-delayed feedback control of chaotic systems
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• Synchronization in chaotic systems

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