A dual-parameter hyperchaotic system with constant Lyapunov exponent and its circuit emulation

作者：Deng Wei; Fang Jie^*; Wu Zhen jun

来源：Optik, 2015, 126(24): 5468-5472.

DOI：10.1016/j.ijleo.2015.08.275

• Dual-parameter hyperchaotic attractors
• Invariable Lyapunov exponent spectrum
• Bifurcation
• Poincare map
• Circuit implementation

This paper presents a new dual-parameter hyperchaotic system with constant Lyapunov exponent (DPH-SCLE) based on Chen system. Numerical simulations and theoretical analysis reveal that the new system's dynamics behavior can be periodic orbit, quasi-periodic orbit, chaotic attractor, and hyperchaotic attractor as the parameters vary. When the specific parameter varies in a certain range, its Lyapunov exponent spectrum is invariable. Furthermore, its two positive Lyapunov exponents are relatively large; especially the second is much larger than that of all the existing hyperchaotic systems. Finally, the circuit emulation of this new hyperchaotic system is designed and realized by Multisim software, and the simulation results confirm that the new hyperchaotic system is different from the existing chaotic systems. The experiment results match the simulation results well.

• 出版日期2015
• 单位郑州轻工业大学