Many scholars from numerous domains have investigated the chaotic behaviours and synchronised cycles of population models. In this research, we employ a recently discovered approach to synchronise a discrete-time dynamical system. Using this coupling strategy, we can identify a threshold to totally synchronise a dynamical system, and we will apply this result to a quadratic population model. This model exhibits several sorts of dynamics depending on the parameter values, ranging from stable equilibrium to periodic behaviour and chaos. Traditionally, synchronisation was accomplished by the use of periodic signals. This rigorous strategy aids us in successfully synchronising the chaotic attractors of the original and connected systems. Finally, for various threshold and parameter values, we will test the analytic results using various numerical tools such as the mean phase difference and mean amplitude difference, time series, and bifurcation diagrams.
Author(S) Details
Tahmineh Azizi
Department of Mathematics, Kansas State University, Manhattan, United States.
View Book:- https://stm.bookpi.org/RAMRCS-V9/article/view/6023
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