A new approach to controlling chaotic systems

DOI10.1016/S0167-2789(97)80001-2zbMath0930.37011OpenAlexW1990804430MaRDI QIDQ1376424

Boyarski, Abraham, Góra, Paweł

Publication date: 17 December 1997

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)80001-2

zbMATH Keywords

chaotic dynamical systemspiecewise monotonic transformationinvariant probability density function

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (1)

Stability of piecewise affine systems with application to chaos stabilization

Cites Work

• An algorithm to control chaotic behavior in one-dimensional maps
• Compactness of Invariant Densities for Families of Expanding, Piecewise Monotonic Transformations
• Measures on periodic orbits for continuous transformations on the interval
• Controlling chaos
• Using the sensitive dependence of chaos (the ‘‘butterfly effect’’) to direct trajectories in an experimental chaotic system
• Controlling chaos in high dimensional systems
• Symbolic Dynamics and Transformations of the Unit Interval
• Controlling chaotic dynamical systems

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