Abstract
Multiple non-linear systems demonstrate the phenomenon where fluctuations enhance the synchronization and periodic behaviors of systems. As the phenomenon induced by stochastic additive noise, in stochastic resonance, noise enhances the synchronization of system behaviors against weak input signals. Along with stochastic noise, deterministic chaos induces a phenomenon like stochastic resonance, called chaotic resonance. This review summarizes the progress of studies on chaotic resonance over the most recent decade. First, the fundamental characteristic of chaotic resonance was reviewed. Second, chaotic resonance in brain informatics, including cerebellar learning and deterministic fluctuations observed in electroencephalography/magnetoencephalography examinations, were reviewed. Third, the “reduced region of orbit” method was reviewed for the potential application of chaotic resonance. Through chaotic resonance, this review emphasizes the potential importance of recapturing neural fluctuation functionality, previously considered in the framework of stochastic resonance (also called stochastic facilitation), and assesses the effectiveness of applying chaotic resonance.
Highlights
Various non-linear systems reportedly demonstrate a phenomenon where fluctuations enhance synchronization and periodic behaviors [6, 7]
We previously proposed a new chaos control method called the “reduced region of orbit (RRO)” method, where the chaotic signals are shifted to the appropriate chaotic state to elicit a chaotic resonance by external feedback signals [55]
The recent studies, dealing with the complex neural activity caused by the deterministic process and multiple complex network structures, indicated the possibility that chaotic resonance, rather than stochastic resonance/stochastic facilitation, will become the framework for other studies to understand the functionality of neural fluctuations
Summary
Various non-linear systems reportedly demonstrate a phenomenon where fluctuations enhance synchronization and periodic behaviors (reviewed in [1,2,3,4,5]) [6, 7]. The synchronization of system behaviors against weak input signal is enhanced by noise [8,9,10]. In addition to stochastic noise, deterministic chaos induces stochastic resonance, called chaotic resonance (reviewed in [3, 4]). Enhancement of the degree of synchronization against weak input signal by stochastic noise in non-linear systems with a barrier or threshold. The intermittent transition between synchronous and asynchronous states is known as chaotic itinerancy
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
