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Spontaneous phase oscillation induced by inertia and time delay
H Hong1, Gun Sang Jeon, M Y Choi
1School of Physics and Center for Theoretical Physics, Seoul National University, Seoul 151-747, Korea.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 28, 2002
Summary
Finite inertia and time-delayed interactions in coupled oscillators can lead to spontaneous self-oscillation. This phenomenon suppresses synchronization and its frequency depends on inertia and delay, as shown in the system
Area of Science:
- Physics, Complex Systems
- Nonlinear Dynamics
Background:
- Coupled oscillator systems are fundamental in various scientific fields.
- Understanding the influence of inertia and time delays is crucial for predicting system behavior.
Purpose of the Study:
- To investigate the interplay between inertia and time-delayed interactions in a system of coupled oscillators.
- To analyze the emergence of spontaneous phase oscillations and their effect on synchronization.
Main Methods:
- Analytical investigation, particularly in the strong-coupling limit.
- Numerical simulations to observe system dynamics and phase velocity.
- Phase diagram construction to map system behaviors.
Main Results:
- Spontaneous phase oscillation emerges without external driving.
- Self-oscillation suppresses synchronization in the system.
- Oscillation frequency decreases with increasing inertia and time delay.
- A phase diagram reveals distinct oscillatory and stationary phases.
Conclusions:
- Inertia and time delay play a critical role in the dynamics of coupled oscillators.
- Spontaneous self-oscillation is a key emergent behavior that impacts system synchronization.
- The identified phase diagram provides a framework for understanding system behavior under varying parameters.