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Controlling chaos with localized heterogeneous forces in oscillator chains
1Departamento de Física Aplicada, Escuela de Ingenierías Industriales, Universidad de Extremadura, Apartado Postal 382, E-06071 Badajoz, Spain.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 13, 2006
Summary
Reducing impulse from end oscillators suppresses chaos in nonlinear oscillator chains. This leads to frequency synchronization across the entire network, demonstrating control over chaotic dynamics in dissipative systems.
Area of Science:
- Nonlinear dynamics
- Complex systems
- Network science
Background:
- Homogeneous chains of coupled nonlinear oscillators can exhibit chaotic dynamics when driven synchronously.
- Understanding the control of chaos in such systems is crucial for applications in various scientific fields.
Purpose of the Study:
- To investigate the impact of localized periodic pulses on chaotic behavior in coupled nonlinear oscillator chains.
- To explore methods for suppressing chaos and inducing synchronization in these systems.
Main Methods:
- Studying the effects of decreasing impulse transmitted by localized periodic pulses on oscillator chains.
- Analyzing the dynamics of free end oscillators and their influence on the entire network.
- Identifying competing mechanisms leading to amplitude desynchrony and oscillation death.
Main Results:
- Decreasing impulse from end oscillators leads to regularization and frequency synchronization of the entire array.
- A maximum in amplitude desynchrony is observed as end pulses narrow, driven by competing desynchronization and oscillation death mechanisms.
- Chaos suppression and frequency-locked states are achieved by reducing impulse from localized external forces.
Conclusions:
- Localized external forces can be used to control chaotic behavior in networks of dissipative systems.
- Modulating impulse from end oscillators is an effective strategy for achieving network-wide frequency synchronization.
- The study provides insights into the complex interplay of desynchronization and oscillation death in coupled oscillator networks.
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