Open AccessA Numerical and Analytical Study of Phase Synchronization in Coupled SC-CNN Based Non-Identical Chaotic Systems
Author(s) -
H. Shameem Banu,
P. S. Sheik Uduman
Publication year - 2021
Publication title -
journal of mountain research/journal of mountain research
Language(s) - English
Resource type - Journals
eISSN - 2582-5011
pISSN - 0974-3030
DOI - 10.51220/jmr.v16i2.33
Subject(s) - phase portrait , phase synchronization , synchronization (alternating current) , chaotic , phase (matter) , computer science , state (computer science) , field (mathematics) , electronic circuit , synchronization of chaos , topology (electrical circuits) , computer simulation , control theory (sociology) , algorithm , mathematics , physics , artificial intelligence , telecommunications , bifurcation , simulation , nonlinear system , quantum mechanics , channel (broadcasting) , pure mathematics , control (management) , combinatorics
This paper seeks to address the phase synchronization phenomenon using the drive-response concept, in our proposed model, State Controlled Cellular Neural Network (SC-CNN) based on variant of MuraliLakshmanan-Chua (MLCV) circuit. Using this unidirectionally coupled chaotic non autonomous circuits, we described the transition of unsynchronous to synchronous state, by numerical simulation method as well as theresults are confirmed by solving explicit analytical solution. In this aspect, the system undergoes the new effect of phase synchronization (PS) phenomenon have been observed before complete synchronization (CS) state. To characterize these phenomena by the phase portraits and the time series plots. Also particularly characterize for PS by the method of partial Poincare section map using phase difference versus time, numerically and analytically. The study of dynamics involved in SC-CNN circuit systems, mainly applicable in the field of neurosciences and in telecommunication fields.