Abstract
Cross-talk among coupled stochastic Hindmarsh-Rose (HR) neurons is significantly affected by the topology of the neurons organization. If the coupled stochastic HR neurons are arranged in the form of ring topology with odd number of neurons, the neurons are in anti-phase synchronization with homogeneous distribution of phase ordering of the oscillators. On the other hand, if the coupled HR oscillators are arranged in the ring topology with even number of oscillators, the oscillators are formed into two groups which are anti-phase synchronized, but all the oscillators in each group are in in-phase synchronization.Synchronization of the HR oscillators due to coupling in all topological arrangements is affected by the noise.However, noise can induce optimal coherence of the cross-talked oscillators at a particular value at which signal processing is the most favorable with amplified signal, the phenomenon known as stochastic resonance.
Highlights
Communication among coupled natural systems could be the origin of emergence of important local and global properties, starting from normal state to chaos, crises, chimera and many other peculiar states
The scenario of synchronization is in different way when the coupled HR oscillators are in anti-phase synchronization and topology of the oscillators play an important role in achieving synchronization
We increased the value of V i.e. by decreasing noise strength by taking V = 500 with same ε, the coupled HR oscillators follows the same trend of anti-phase synchronization with θN0 = 2π/N0phase distribution of each synchronized oscillators
Summary
Communication among coupled natural systems could be the origin of emergence of important local and global properties, starting from normal state to chaos, crises, chimera and many other peculiar states. Since noise is an inherent parameter in natural systems, it plays an important role in terms of hindrance in signal processing to protect themselves from unwanted external signals (e.g. disease signal, cancer wave, irradiation etc.) and constructive way (enhance signal detection, amplification of signal etc) known as stochastic resonance [6, 7]. Since mechanisms in living systems are noise driven processes, noise helps in various ways [9,10,11,12,13]), starting from molecular to phenotypic level: to survive, stay fit, and for protection from the competing environment. Pathogens use noise to create phenotype diversities to enable to survive in the host [14]; higher level organisms use it for adaptation [15, 16]; cells use it to make important decisions and their fates [9] and various cellular phenotypes [17]
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.
