Analysis of 4D autonomous system with volume-expanding phase space

作者：Jeevarekha A; Sabarathinam S; Thamilmaran K; Philominathan P^*

来源：Nonlinear Dynamics, 2016, 84(4): 2273-2284.

DOI：10.1007/s11071-016-2644-1

• Volume-expanding phase space
• Antiparallel diodes
• 3 Torus
• Hyperchaos
• Repellers

This paper investigates the dynamics of four-dimensional autonomous oscillator with antiparallel diodes. A rare phenomenon of volume-expanding phase space is observed from the proposed model, and the only equilibrium point at the origin is found to be a repeller. Systems of this kind pave the way for the better understanding of repellers. In addition, the oscillator possesses extremely rich dynamical behaviors, including 2-tori, 3-tori (triple tori), limit cycles, chaos and hyperchaos. These dynamical behaviors are characterized with the help of the Lyapunov spectrum, bifurcation diagram, recurrence analysis, Poincar, surface of section, 0-1 test etc., Period doubling and torus breakdown to chaos are the predominant routes observed in the system for different parametric choices. The results of the real-time circuit are quite compatible with the numerical predictions.

• 出版日期2016-6