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Can noise make nonbursting chaotic systems more regular?
Liqiang Zhu1, Ying-Cheng Lai, Zonghua Liu
1Department of Electrical Engineering and Center for Systems Science and Engineering Research, Arizona State University, Tempe, Arizona 85287, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2002
Summary
Noise can improve the temporal regularity of chaotic systems, a phenomenon known as coherence resonance. This study demonstrates coherence resonance in nonbursting chaotic systems using theoretical arguments and experimental validation.
Area of Science:
- Physics
- Nonlinear Dynamics
- Chaos Theory
Background:
- Coherence resonance is a known phenomenon in bursting dynamical systems, where noise enhances temporal regularity.
- The extension of coherence resonance to nonbursting chaotic systems remains an open question.
Purpose of the Study:
- To investigate the possibility of coherence resonance in nonbursting chaotic systems.
- To provide a theoretical framework and experimental evidence for this phenomenon.
Main Methods:
- Theoretical analysis based on time-scale matching principles.
- Experimental validation using a chaotic electronic circuit.
Main Results:
- Demonstration of coherence resonance in nonbursting chaotic systems.
- Confirmation that noise can enhance temporal regularity even in the absence of bursting behavior.
Conclusions:
- Coherence resonance is not limited to bursting systems and can occur in nonbursting chaotic systems.
- The findings expand the understanding of noise-induced order in complex systems.