We study the onset of synchronous states in realistic chaotic neurons coupled by mutually inhibitory chemical synapses. For the realistic parameters, namely the synaptic strength and the intrinsic current, this synapse introduces non-coherences in the neuronal dynamics, yet allowing for chaotic phase synchronization in a large range of parameters. As we increase the synaptic strength, the neuro...

This article mainly concerns projective synchronization (PS) of a modified chaotic finance system. PS with both identical and different scaling factors between two identical chaotic systems is realized. In addition, the PS of modified chaotic finance system with unknown parameters including the unknown coefficients of nonlinear terms is studied by using adaptive control. Numerical simulations a...

This paper investigates the global synchronization method of two identical systems and two different chaotic systems. The proposed method is effective and convenient to synchronize two identical systems and two different chaotic systems by using nonlinear control functions. The method has been applied successfully to make two identical four-scroll attractor and also two different chaotic system...

Small networks of chaotic units which are coupled by their time-delayed variables are investigated. In spite of the time delay, the units can synchronize isochronally, i.e., without time shift. Moreover, networks cannot only synchronize completely, but can also split into different synchronized sublattices. These synchronization patterns are stable attractors of the network dynamics. Different ...

In this paper, the case of inverse lag synchronization phenomenon of two mutually coupled chaotic oscillators, was studied. This type of synchronization is observed for the first time in continuous dynamical systems. The system consists of two identical double scroll chaotic circuits coupled via a linear resistor. For a specific region of the coupling value, the system appears inverse lag synch...

Based on stability theory of impulsive differential equation and new comparison theory of impulsive differential system, we study the chaos impulsive synchronization of two coupled chaotic systems using the unidirectional linear error feedback scheme. Some generic conditions of chaos impulsive synchronization of two coupled chaotic systems are derived, and to apply the conditions to typical cha...

In this letter, a chaotic anti-synchronization (AS) scheme is proposed based on combining a nonlinear with lag-in-time observer design via a scalar signal. The necessary and sufficient conditions for antisynchronization of delay coupled systems are derived. Finally, numerical simulation results are presented to show the feasibility and effectiveness of the proposed anti-synchronization scheme, ...

In this paper, the dynamical behavior of a new chaotic system is discussed, the globally exponentially attractive set and positive invariant set of the chaotic systems are studied via the generalized Lyapunov function, the result is applied to the study of chaos synchronization, and the globally exponential synchronization of the chaotic system is achieved. Numerical simulation results are pres...

We study the onset of synchronous states in realistic chaotic neurons coupled by mutually inhibitory chemical synapses. For the realistic parameters, namely the synaptic strength and the intrinsic current, this synapse introduces noncoherences in the neuronal dynamics, yet allowing for chaotic phase synchronization in a large range of parameters. As we increase the synaptic strength, the neuron...