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.
