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Noise-induced phase synchronization and synchronization transitions in chaotic oscillators
Changsong Zhou1, Jürgen Kurths
1Institute of Physics, University of Potsdam, PF 601553, 14415 Potsdam, Germany.
Physical Review Letters
|June 13, 2002
Summary
Common noise can synchronize chaotic systems by leveraging contraction regions. This phenomenon also extends to inducing phase synchronization in nonidentical systems, crucial for neurobiology.
Area of Science:
- Nonlinear dynamics
- Neuroscience
Background:
- The role of common noise in synchronizing chaotic systems is a controversial topic.
- Understanding noise-induced synchronization is vital for biological processes.
Purpose of the Study:
- To clarify the mechanism by which common noise induces complete synchronization in chaotic systems.
- To demonstrate the induction of phase synchronization in nonidentical chaotic systems by common noise.
Main Methods:
- Analysis of chaotic system dynamics.
- Identification of contraction regions in phase space.
- Investigation of noise-induced synchronization phenomena.
Main Results:
- The existence of a significant contraction region is decisive for common noise-induced complete synchronization.
- Common noise can induce phase synchronization in nonidentical chaotic systems.
- Synchronization transitions driven by noise are observed.
Conclusions:
- Common noise can indeed induce complete synchronization in chaotic systems through specific mechanisms.
- Noise-induced phase synchronization in nonidentical systems has significant implications for neurobiology, particularly neuron encoding.
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