A new approach for controlling chaotic dynamical systems

DOI10.1016/S0375-9601(97)00929-8zbMath0946.37023MaRDI QIDQ1966580

Kazuyuki Yagasaki, Tomotsugu Uozumi

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

OGY methodchaos control method

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (12)

Chaos control of chaotic limit cycles of real and complex van der Pol oscillators ⋮ AN EXTENSION OF A METHOD OF YAGASAKI AND UOZUMI ⋮ Invariant manifolds and control of hyperbolic trajectories on infinite- or finite-time intervals ⋮ Control of implicit chaotic maps using nonlinear approximations ⋮ External periodic force control of a single-degree-of-freedom vibroimpact system ⋮ CONTROL OF OBSERVABLE CHAOTIC DYNAMICAL SYSTEMS USING NONLINEAR APPROXIMATIONS ⋮ Chaotic control of Hénon map with feedback and nonfeedback methods ⋮ Repetitive learning control of continuous chaotic systems ⋮ CONTROLLING CHAOS USING NONLINEAR APPROXIMATIONS FOR A PENDULUM WITH FEEDFORWARD AND FEEDBACK CONTROL ⋮ A FAST CONTROL METHOD BASED ON STABLE MANIFOLD INFORMATION ⋮ TARGETING OF CHAOTIC DYNAMICAL SYSTEMS USING NONLINEAR APPROXIMATIONS ⋮ Strange attractors and chaos control in periodically forced complex Duffing's oscillators

Uses Software

• Dynamics

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A two-dimensional mapping with a strange attractor
• Dynamics: numerical explorations. Accompanying computer program dynamics. Coauthored by Eric J. Kostelich. With 3 1/2 DOS Diskette
• Controlling Chaos in a Pendulum Subjected to Feedforward and Feedback Control
• Controlling chaos

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