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Two-Neuron Inhibitory Loops vs. Coupled Different-order Chaotic Systems: Generalized Synchronization via Adaptive Control* : In loving memory of late Prof. Si-Ying Zhang, Academician of the Chinese Academy of Sciences

The generalized synchronization of differentorder chaotic systems with completely unknown parameters is studied and found to possess considerable parallels with two-neuron inhibitory loops. A compound set of adaptive controller and parameter-update law is designed that enforces achieving the generalized synchronization of chaotic or hyper-chaotic systems with different order dynamics via the Lyapunov stability theory. The proposed design does not need either reduced order or increased order dynamics for the drive system. This systematic technique is tested by means of computer simulations, the representative results of which are given to demonstrate both the effectiveness and feasibility of the proposed scheme.