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Oscillation death and revival by coupling with damped harmonic oscillator
Vaibhav Varshney1, Garima Saxena2, Bibhu Biswal3
1Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India.
Chaos (Woodbury, N.Y.)
|October 2, 2017
Summary
This study explores nonlinear oscillators with added damped harmonic oscillators. Depending on rotation, systems synchronize periodically or exhibit oscillation death, with multistability observed during transitions.
Area of Science:
- Nonlinear Dynamics
- Complex Systems
Background:
- Nonlinear oscillators are fundamental in physics and engineering.
- Understanding coupled oscillator dynamics is crucial for various applications.
Purpose of the Study:
- To investigate the dynamics of nonlinear oscillators coupled with damped harmonic oscillators.
- To analyze the impact of rotation direction on system behavior.
- To characterize synchronization and oscillation death phenomena.
Main Methods:
- Numerical simulations of coupled nonlinear and linear damped harmonic oscillators.
- Analysis of system trajectories and phase space.
- Definition and application of a "relative phase angle" metric.
Main Results:
- Coupled systems exhibit either synchronized periodic behavior or oscillation death based on rotation.
- Multistability observed during transitions between periodic states and oscillation death.
- A novel "relative phase angle" characterizes mixed synchronization states.
Conclusions:
- The sense of rotation is a critical parameter determining the collective dynamics of augmented nonlinear oscillators.
- The study introduces a new metric for analyzing complex synchronization patterns.
- Findings contribute to the understanding of coupled oscillator systems and emergent behaviors.
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