Complex Dynamics of Rössler–Nikolov–Clodong O Hyperchaotic System: Analysis and Computations

Abstract

This paper discusses the analysis and computations of chaos–hyperchaos (or vice versa) transition in Rössler–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.

Keywords

• Rössler–Nikolov–Clodong O hyperchaotic system
• analysis
• equilibrium
• zero-Hopf bifurcation
• hyperchaotic transitional regimes
• exact solutions