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Stationary and oscillatory spatial patterns induced by global periodic switching
J Buceta1, Katja Lindenberg, J M R Parrondo
1Department of Chemistry and Biochemistry and Institute for Nonlinear Science, University of California-San Diego, 9500 Gilman Drive, La Jolla, California 92093-0340, USA.
Physical Review Letters
|January 22, 2002
Summary
This study reveals a novel mechanism for pattern formation. Rapidly alternating two patternless dynamics can induce stable spatial or oscillatory patterns, depending on switching speed.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Pattern formation
Background:
- Individual dynamics do not produce patterns.
- Systems transition to homogeneous states when driven by a single dynamic.
Purpose of the Study:
- To introduce a new mechanism for pattern formation.
- To investigate pattern emergence from the global alternation of two patternless dynamics.
Main Methods:
- Numerical simulations were employed.
- Analysis considered system symmetries and characteristic timescales.
Main Results:
- Alternating two dynamics rapidly generates stationary spatial patterns.
- Slower switching rates result in oscillatory patterns.
- Pattern formation depends on the ratio of switching period to relaxation time.
Conclusions:
- Global alternation of simple dynamics can lead to complex pattern formation.
- Symmetry and timescale ratios are key factors in emergent patterns.