GENERATING MULTI-SCROLL DYNAMICS FROM A NEW MEMRISTIVE-BASED SYSTEM AND ITS SYNCHRONIZATION

Abstract

The research on new and existing dynamical systems are of concern in non linear science.The complex dynamical behaviour emanating from such systems by changing the intial conditions, varying the systems parameters and modification from one order to higher order can leads to interesting phenomenon. This research is basically on modified sprott-A system and its application to electronics . The theoretical analyses were carried out, while the numerical analyses were in good agreement with the experimental results. The numerical simulations were carried out using Kaplan- Yorke dimension, birfucation diagram and Lyapunov exponent. The pspice and hardwarearduino link simulation also verify the theoretical analysis using off-shelf components to confirm the performance of the new systems, we further synchronize the coupled systems numerically and experimentally using bidirectional and unidirectional scheme. The new 4D-memristive-based system is without equilibrium and can generate Hyperchaotic attractors with nth scroll and wings attractors by changing the system parameter 𝜀 and extended term parameter 𝛼. We also discovered change to the new system state by studying the route to chaos or transition to chaos. The result shows that the multi-scroll and multi-wings behaviour at different time ranging from 1×2 to 2×4 grid by varying 𝛼 and nth multi-scroll and wings, when varying the system parameter 𝜀. The coupled systems reveal the incomplete and the complete synchronization when varying the coupling strength.