Geometric method for stabilizing unstable periodic orbits

DOI10.1016/0375-9601(94)90368-9zbMath0961.37501OpenAlexW1981847509MaRDI QIDQ1964941

Zoltán Toroczkai

Publication date: 6 February 2000

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

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90368-9

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Periodic orbits of vector fields and flows (37C27)

Related Items (5)

On the optimality of the Ott-Grebogi-Yorke control scheme ⋮ Self-locating control of chaotic systems using Newton algorithm. ⋮ Stabilizing chaotic vortex trajectories: An example of high-dimensional control. ⋮ Optimal multi-dimensional OGY controller ⋮ USING CONTROL OF CHAOS TO REFINE APPROXIMATIONS TO PERIODIC POINTS

Cites Work

• Using the sensitive dependence of chaos (the ‘‘butterfly effect’’) to direct trajectories in an experimental chaotic system
• Controlling chaotic dynamical systems

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