Complex Dynamics of Rossler-Nikolov-Clodong O Hyperchaotic System: Analysis and Computations

This paper discusses the analysis and computations of chaos-hyperchaos (or vice versa) transition in Rossler-Nikolov-Clodong O (RNC-O) hyperchaotic system. Our work is motivated by our previous analysis of hyperchaotic transitional regimes of RNC-O system and the results recently obtained from another researchers. The analysis and numerical simulations show that chaos-hyperchaos transition in RNC-O system is coupled to change in the equilibria type as one large hyperchaotic attractor occurs. Moreover, we show that for this system, a zero-Hopf bifurcation is not possible. We also consider the cases when the divergence of the system is a constant and detected two families of exact solutions.

Automated summary

This paper discusses the analysis and computations of the transition from chaos to hyperchaos (or vice versa) in the Rossler-Nikolov-Clodong O (RNC-O) hyperchaotic system. The research is motivated by previous analysis of hyperchaotic transitional regimes in the RNC-O system and recent results from other researchers. The analysis and numerical simulations demonstrate that the transition from chaos to hyperchaos in the RNC-O system is accompanied by a change in equilibrium type, resulting in a large hyperchaotic attractor. The study also shows that a zero-Hopf bifurcation is not possible for this system, and identifies two families of exact solutions when the system divergence is constant.