Adaptive reduced-order function projective synchronization and circuit design of hyperchaotic DLE with no equilibria

作者：Wei Zhouchao^*; Tang Yanxia; Chen Huai; Pehlivan Ihsan

来源：Optoelectronics and Advanced Materials-Rapid Communications, 2013, 7(11-12): 984-990.

• Hyperchaotic attractors
• Reduced-order
• Projective synchronization
• Lyapunov exponent
• Lyapunov stability theorem
• Circuit implementation

By introducing a feedback control to a classic DLE system (diffusionless Lorenz equations), an extremely complex hyperchaotic attractor with no equilibria is derived. Based on adaptive control and Lyapunov stability theory, we design a reduced-order projective synchronization scheme for synchronizing the hyperchaotic DLE coexist with no equilibria and the 3-D chaotic Wang-Chen system coexist with one stable equilibrium, which both do not meet the Sil'nikov criteria. Finally, numerical simulations are given to illustrate the effectiveness of the proposed synchronization scheme, and then its circuit implementation is included as real applications.

• 出版日期2013-12
• 单位中国地质大学（北京）; 河北北方学院