Controlling Chaos Based on the Modified ADVP Model

Using the method of adaptive pulse perturbation to control the modified ADVP model, it can be stabilized to the different periodic orbits by choosing the different time intervals and the adaptive speeds. Furthermore, the model is applied to the weak signal detection, the simulation results demonstrate this application is practical and effective.

[1]  Baojun Yang,et al.  The chaotic detection of periodic short-impulse signals under strong noise background , 2002 .

[2]  E. Atlee Jackson,et al.  The OPCL control method for entrainment, model-resonance, and migration actions on multiple-attractor systems. , 1997, Chaos.

[3]  Simon Haykin,et al.  Detection of signals in chaos , 1995, Proc. IEEE.

[4]  de Sousa Vieira M,et al.  Controlling chaos using nonlinear feedback with delay. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[5]  Takashi Matsumoto,et al.  A chaotic attractor from Chua's circuit , 1984 .

[6]  King,et al.  Bistable chaos. I. Unfolding the cusp. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[7]  Ying-Cheng Lai,et al.  Controlling chaos , 1994 .

[8]  S. Sinha,et al.  Adaptive control in nonlinear dynamics , 1990 .

[9]  E. Atlee Jackson,et al.  The entrainment and migration controls of multiple-attractor systems , 1990 .

[10]  E. Lorenz.  Deterministic nonperiodic flow , 1963 .

[11]  Lima,et al.  Suppression of chaos by resonant parametric perturbations. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[12]  Grebogi,et al.  Using chaos to direct orbits to targets in systems describable by a one-dimensional map. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[13]  H. Agiza,et al.  Bifurcations, chaos and synchronization in ADVP circuit with parallel resistor , 2008 .

[15]  Edward Ott,et al.  Controlling chaos , 2006, Scholarpedia.

[16]  M. Shinriki,et al.  Multimode oscillations in a modified Van Der Pol oscillator containing a positive nonlinear conductance , 1981, Proceedings of the IEEE.