We present a theory of flagellar synchronization in the green alga Chlamydomonas, using full treatment of flagellar hydrodynamics. We find that two recently proposed synchronization mechanisms, basal coupling and flagellar waveform compliance, stabilize anti-phase synchronization if operative in isolation. Their nonlinear superposition, however, stabilizes in-phase synchronization as observed i...

In this study, we investigate a class of chaotic synchronization and anti-synchronization with stochastic parameters. A controller is composed of a compensation controller and a fuzzy controller which is designed based on fractional stability theory. Three typical examples, including the synchronization between an integer-order Chen system and a fractionalorder Lü system, the anti-synchronizati...

A new synchronization system is proposed based on the Lyapunov function scheme by introducing the amplitude parameters for projective synchronization with different ratios. Consequently, the complicated controller is replaced by a signal with scale information from the other side of the synchronization system. Based on amplitude control, different regimes of projective synchronization are obtai...

This paper investigates the hybrid synchronization of identical Pan systems (Pan, Xu and Zhou, 2010) by sliding mode control. In hybrid synchronization of chaotic systems, one part of the master and slave systems is completely synchronized, while the other part is anti-synchronized. The co-existence of complete and anti-synchronization enhances the security of the communication devices using ch...

Considerable attention has been devoted to the different synchronization phenomena [1] in biology. Such as complete synchronization, cluster synchronization, anti-synchronization, and so on[2, 3, 4, 5, 6]. During recent twenty years, phase synchronization has attracted much interest. Many dynamical behaviors in biological systems can be explained by phase synchronization finally[8]. This synchr...

The pinning hybrid synchronization of time-delay hyperchaotic Lü systems is investigated via linear control. Based on Lyapunov stability theory, the coexistence of pinning anti-synchronization and complete synchronization of time-delay hyperchaotic Lü systems is obtained via one single controller. Sufficient conditions are obtained to achieve the hybrid Pinning synchronization. Numerical simula...

This paper presents anti-synchronization of two different chaotic systems using optimal control method. The proposed technique is applied to achieve chaos anti-synchronization for the new fourdimensional and hyperchaotic Lü systems with fully unknown parameters. Numerical simulations results are presented to demonstrate the effectiveness of the method.

Experimental investigations of synchronization and anti-synchronization of optically coupled semiconductor lasers with external cavities are presented. Both lasers show chaotic lowfrequency intensity fluctuations that are (anti-) synchronized due to optical coupling by light injection. For uni-directional coupling response lasers with and without external cavity are considered. In the case of b...

Abstract. This paper analyzed the anti-synchronization of the four-dimensional autonomous different structural hyperchaotic systems, and achieved the anti-synchronization of the hyperchaotic Lorenz-Chen system, hyperchaotic Chen-Lü system and hyperchaotic Lü-Lorenz system with each other via the active control theory. Numerical simulations are provided for illustration and verification of the p...

The anti-synchronization of identical Pan systems (Pan, Xu and Zhou, 2010) has been investigated in this paper and new results have been derived by sliding mode control. In this paper, we first derive a general result for the anti-synchronization of identical chaotic systems. As an application, we derive antisynchronizing sliding controller for identical Pan systems. A numerical example using M...