Yao-Chen Hung

Synchronization of two different systems by using generalized active control

We have already generalized the techniques from active control theory, and applied them to synchronize two different systems. In this Letter, we demonstrate these techniques by period-system, Lorenz and Rossler systems. Moreover, the effect of external noise is also included in our discussion.

Phase and anti-phase synchronization of two chaotic systems by using active control

Using techniques from active control theory, we demonstrate that two coupled chaotic systems can be phase and anti-phase synchronized. The techniques are applied to Lorenz, Rossler, and Chen systems.  2002 Elsevier Science B.V. All rights reserved.

Constructive role of noise in p53 regulatory network

We study the effect of noise on p53 regulatory network, the core of a cells modulator for switching between survival and apoptosis. We find that the fluctuations, originating from stochastic expression of p53-responsive genes, introduce marked advantages for the system to sense external stimuli and sustain the function of switches. The coherence between a stimulus and the systems response undergoes a maximum with the raise of noise level, indicating the occurrence of stochastic resonance. The biological significance of our results is discussed.

SYNCHRONIZATION OF UNCERTAIN HYPERCHAOTIC AND CHAOTIC SYSTEMS BY ADAPTIVE CONTROL

This paper presents the synchronization between uncertain hyperchaotic and chaotic systems. Based on Lyapunov stability theory, an adaptive controller is derived to achieve synchronization of hyperchaotic and chaotic systems, including the case of unknown parameters in these two systems. The T.N.C. hyperchaotic oscillator is used as the master system, and the Rossler system is used as the slave system. Numerical simulations verify these results. Additionally, the effect of noise is investigated by measuring the mean squared error (MSE) of two systems.