What question did this study set out to answer?

To establish a general stability theory for synchronized motions in coupled-oscillator systems and examine transitions away from synchronous behavior.

January 1, 1983Progress of Theoretical PhysicsOpen Access

Stability Theory of Synchronized Motion in Coupled-Oscillator Systems

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Authors

HFHirokazu FujisakaKagoshima University TYTomonori YamadaOhkawara Neurosurgical Hospital

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Implication

Mathematical analysis demonstrates stability criteria for synchronized states in coupled oscillators, suggesting experimental methods to quantify chaos in reaction systems.

Key Points

To establish a general stability theory for synchronized motions in coupled-oscillator systems and examine transitions away from synchronous behavior.
Derived analytical stability parameters for uniform synchronized states using an extended Lyapunov matrix approach.
Modeled desynchronization dynamics and state transitions specifically within a coupled Lorenz oscillator system.
Demonstrated that weakening the coupling strength drives a transition from uniform chaotic states to non-uniform states, eventually leading to non-uniform chaos.
Formulated an experimental procedure enabling the direct measurement of the positive Lyapunov exponent of intrinsic chaos in chemical reaction systems.

Cite This Study

Fujisaka et al. (1983) studied this question.

synapsesocial.com/papers/69e1305e2d694c327ba1a12e https://doi.org/10.1143/ptp.69.32

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Implication

Mathematical analysis demonstrates stability criteria for synchronized states in coupled oscillators, suggesting experimental methods to quantify chaos in reaction systems.

Stability Theory of Synchronized Motion in Coupled-Oscillator Systems

Discussion

Member takes

Implication

Key Points

Cite This Study

Stability Theory of Synchronized Motion in Coupled-Oscillator Systems

Discussion

Member takes

Implication

Key Points

Cite This Study

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