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Inducing isolated-desynchronization states in complex network of coupled chaotic oscillators
Weijie Lin1,2, Huiyan Li3, Heping Ying2
1School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China.
Physical Review. E
|January 14, 2017
Summary
Researchers developed a method to induce isolated-desynchronization states in chaotic oscillator networks. By pinning specific nodes, a synchronized cluster can form while others remain asynchronous, overcoming previous limitations.
Area of Science:
- Complex Networks
- Chaos Theory
- Nonlinear Dynamics
Background:
- Chimera states, characterized by coexisting synchronous and asynchronous behavior, have been observed in coupled oscillators.
- Isolated-desynchronization states, a similar phenomenon in complex networks, are difficult to achieve due to strict network topology requirements.
Purpose of the Study:
- To propose an effective method for inducing isolated-desynchronization states in symmetric networks of coupled chaotic oscillators.
- To demonstrate the feasibility and efficiency of this method through theoretical analysis and numerical simulations.
Main Methods:
- Utilizing a pinning coupling strategy to control specific nodes within the network.
- Employing eigenvalue analysis to theoretically predict the conditions for synchronization.
- Conducting numerical simulations on both artificial and real-world complex networks.
Main Results:
- A critical pinning strength was identified, beyond which a selected group of nodes achieves complete synchronization.
- The unpinned nodes remain in an asynchronous state, successfully creating an isolated-desynchronization state.
- Numerical simulations confirmed the theoretical predictions, showing good agreement.
Conclusions:
- Pinning coupling is an effective strategy for inducing isolated-desynchronization states in symmetric chaotic oscillator networks.
- This method overcomes the limitations of strict network topology requirements for observing such states.
- The findings have implications for understanding and controlling complex dynamical systems.
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