Journal
NONLINEAR DYNAMICS
Volume 73, Issue 3, Pages 1253-1269Publisher
SPRINGER
DOI: 10.1007/s11071-013-0769-z
Keywords
Synchronization; Quorum sensing; Chaotic oscillators; Collective behavior
Categories
Funding
- National Science Foundation of PR China [11002061, 11202084, 10901073]
- Fundamental Research Funds for the Central Universities
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Diverse rhythms are generated by thousands of oscillators that somehow manage to operate synchronously. By using mathematical and computational modeling, we consider the synchronization and chaos control among chaotic oscillators coupled indirectly but through a quorum sensing mechanism. Some sufficient criteria for synchronization under quorum sensing are given based on traditional Lyapunov function method. The Melnikov function method is used to theoretically explain how to suppress chaotic Lorenz systems to different types of periodic oscillators in quorum sensing mechanics. Numerical studies for classical Lorenz and Rossler systems illustrate the theoretical results.
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