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Targeting in dissipative chaotic systems: A survey
Serdar Iplikci1, Yagmur Denizhan
1Bogazici University, Electrical and Electronics Engineering Department, 80815 Bebek Istanbul, Turkey.
Chaos (Woodbury, N.Y.)
|June 5, 2003
Summary
Targeting methods help steer dissipative chaotic systems toward desired motions, reducing long waiting times. This survey reviews various techniques for efficient chaotic system control.
Area of Science:
- Nonlinear Dynamics
- Chaos Theory
- Complex Systems
Background:
- Dissipative chaotic systems possess strange attractors with numerous unstable equilibrium modes.
- These modes offer potential targets for desired system motion.
- Ergodic behavior ensures eventual proximity to a target, but waiting times can be excessive.
Purpose of the Study:
- To survey and review existing targeting methods for dissipative chaotic systems.
- To address the challenge of long waiting times in reaching desired motions within chaotic systems.
Main Methods:
- Literature review of targeting strategies for chaotic systems.
- Analysis of techniques for steering systems toward specific unstable periodic orbits or equilibrium points.
Main Results:
- Identification of diverse targeting methods in the literature.
- Highlighting the necessity of targeting to overcome long waiting times for chaotic system control.
Conclusions:
- Targeting is crucial for practical application of chaotic system control.
- Effective targeting methods enable efficient access to desired dynamics within strange attractors.