Analysis of an One Equilibrium Novel Hyperchaotic System and its Circuit Validation

The obective of the paper is to develop a new hyperchaotic system with a single equilibrium point. The system is more hyperchaotic, larger bandwidth and complex than many other reported hyperchaotic systems. The proposed hyperchaotic system has non-uniform contraction and expansion of volume in phase space. Different theoretical and numerical techniques are used to analyse the proposed hyperchaotic system. Hyperchaotic attractor, Poincare map, frequency spectrum, and Lyapunov spectrum are the tools used to analyse the system. The system depicts hyperchaotic, chaotic, periodic and quasi-periodic behaviour for certain set of parameters over a large range of parameters. Circuit design of the proposed system is also presented to show the applicability of the proposed hyperchaotic system in real life.