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Controlling spatiotemporal chaos via phase space compression.

X Zhang1, K Shen

  • 1Department of Optical Physics, Changchun Institute of Optics and Fine Mechanics, Changchun 130022, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
PubMed
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We developed a simple method to control spatiotemporal chaos (STC) by compressing the chaotic attractor

Area of Science:

  • Nonlinear dynamics
  • Chaos theory
  • Complex systems

Background:

  • Spatiotemporal chaos (STC) is a complex phenomenon observed in many natural and engineered systems.
  • Controlling STC is crucial for understanding and manipulating these systems.

Purpose of the Study:

  • To introduce a novel and effective method for controlling spatiotemporal chaos.
  • To demonstrate the method's applicability in coupled map lattice (CML) systems.

Main Methods:

  • Phase space compression of the chaotic attractor's evolution orbit.
  • Numerical simulations on coupled map lattice (CML) systems.

Main Results:

  • Achieved both global and local control of STC in CML systems using phase space compression.

Related Experiment Videos

  • Identified a functional relationship between control parameters and results, mirroring local CML dynamics.
  • Successfully guided CML systems into desired stable states via tailored phase space compression.

    • Conclusions:

    • Phase space compression offers a simple yet powerful tool for controlling spatiotemporal chaos.
    • The method is versatile, enabling the stabilization of chaotic systems into various desired states.