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Control of dynamical systems behavior by parametric perturbations: An analytic approach
Alexander Yu. Loskutov1, Andrew I. Shishmarev
1Department of Physics, Moscow State University, Moscow 119899, Russia.
Chaos (Woodbury, N.Y.)
|June 1, 1994
Summary
Parametric suppression techniques can control chaotic dynamics. Specific perturbations transform chaotic one-dimensional maps into predictable, regular behavior patterns.
Area of Science:
- Nonlinear Dynamics
- Chaos Theory
Background:
- Deterministic chaos describes unpredictable system behavior.
- Understanding chaos suppression is crucial for controlling complex systems.
Purpose of the Study:
- To investigate parametric suppression of deterministic chaos.
- To demonstrate the transition from chaotic to regular dynamics via parametric perturbations.
Main Methods:
- Analysis of one-dimensional maps exhibiting chaotic dynamics.
- Application of specific parametric perturbations.
Main Results:
- Parametric perturbations can indeed suppress chaos.
- A transition to regular behavior was observed in the perturbed one-dimensional map.
Conclusions:
- Deterministic chaos can be controlled through parametric modifications.
- This study provides a method for achieving regular dynamics from chaotic systems.