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Excitation functions of coupling.

Tianshou Zhou1, Luonan Chen, Ruiqi Wang

  • 1School of Mathematics and Computational Science, Zhongshan University, Guangzhou 510275, People's Republic of China. tszhou@msn.com

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
Summary

Coupling can excite limit cycles and induce chaotic attractors in nonlinear systems, leading to synchronous and chaotic oscillations. This differs from coupling

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Area of Science:

  • Nonlinear Dynamics
  • Network Science
  • Chaos Theory

Background:

  • Coupling in nonlinear systems typically synchronizes dynamics.
  • Understanding coupling's role beyond synchronization is crucial.

Purpose of the Study:

  • Investigate the excitation abilities of coupling in linearly coupled nonlinear systems.
  • Explore how coupling influences system dynamics near stability boundaries.

Main Methods:

  • Analytical investigation of coupled nonlinear systems.
  • Numerical simulations to verify theoretical findings.

Main Results:

  • Coupling can excite limit cycles in systems near a stable steady state, inducing synchronous oscillations.
  • Coupling can induce chaotic attractors in systems near chaotic states, leading to chaotic synchronization.
  • Demonstrated novel excitation functions of coupling beyond traditional synchronization.

Conclusions:

  • Coupling possesses an excitation ability, capable of inducing complex dynamics like limit cycles and chaos.
  • This excitation function expands the known roles of coupling in network dynamics.

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