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Chen, Y., Cao, L., Sun, M., Robust midified function projective synchronization in network with unknown parameters and mismatch parameters., Int.LA - eng KW - Hamiltonian system Melnikov's methods homoclinic orbits periodic orbits periodic parametric perturbation dynamics at infinity UR - ER. The simulation results demonstrate feasibility of periodic parametric perturbation control technology and correctness of the theoretical results. In order to study the global structure, the dynamics at infinity of this system are analyzed through Poincaré compactification. Moreover, the parameter bifurcation conditions of these orbits are obtained.
Using the Melnikov's method, the existence of homoclinic orbits, oscillating periodic orbits and rotating periodic orbits are discussed after transferring the 3D autonomous chaotic system to a slowly varying oscillator. TY - JOUR AU - Wang, Zhen AU - Sun, Wei AU - Wei, Zhouchao AU - Zhang, Shanwen TI - Periodic parametric perturbation control for a 3D autonomous chaotic system and its dynamics at infinity JO - Kybernetika PY - 2017 PB - Institute of Information Theory and Automation AS CR VL - 53 IS - 2 SP - 354 EP - 369 AB - Periodic parametric perturbation control and dynamics at infinity for a 3D autonomous quadratic chaotic system are studied in this paper. Periodic parametric perturbation control and dynamics at infinity for a 3D autonomous quadratic chaotic system are studied in this paper. Zhen Wang Wei Sun Zhouchao Wei Shanwen Zhang Periodic parametric perturbation control for a 3D autonomous chaotic system and its dynamics at infinity
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