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Published on: June 8, 2018
Quasiperiodic forcing of coupled chaotic systems
Manish Agrawal1, Awadhesh Prasad, Ram Ramaswamy
1Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India.
Summary
This study reveals how quasiperiodic modulation transmits effects in coupled nonlinear systems. Strange nonchaotic dynamics emerge in indirectly forced Rössler oscillators, demonstrating stable phase synchrony.
Area of Science:
- Nonlinear Dynamics
- Chaos Theory
- Complex Systems
Background:
- Quasiperiodic forcing can induce complex dynamics in nonlinear systems.
- Coupled oscillator systems exhibit emergent behaviors not present in individual components.
- Strange nonchaotic dynamics are typically observed in directly driven systems.
Purpose of the Study:
- To investigate the transmission of quasiperiodic modulation effects in coupled nonlinear dynamical systems.
- To observe the dynamics of indirectly forced subsystems within a coupled Rössler oscillator network.
- To analyze the conditions and properties of strange nonchaotic dynamics in such systems.
Main Methods:
- Utilizing a coupled system of Rössler oscillators.
- Applying quasiperiodic driving to one oscillator in the network.
- Observing and analyzing the dynamics of the indirectly forced oscillators.
- Investigating phase synchronization and its stability.
Main Results:
- Demonstrated the transmission of quasiperiodic modulation effects to indirectly forced subsystems.
- Observed instances of strange nonchaotic dynamics in subsystems not directly modulated.
- Identified imperfect phase synchronization with arbitrary phase slips.
- Found that phase synchrony stability is a general property of strange nonchaotic motion.
Conclusions:
- Quasiperiodic modulation can effectively drive complex dynamics in coupled nonlinear systems even indirectly.
- Strange nonchaotic dynamics and stable phase synchrony are robust features of these indirectly influenced systems.
- The study provides insights into synchronization phenomena and the spread of chaotic behavior in complex networks.
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