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In this paper, the dynamics of the coupled Lorenz-Rössler systems with the unidirectionally and the bidirectionally linear coupling are considered. The results show that not only the non-chaotic behaviors appear, but also the region for the chaotic behaviors can increase greatly because of the unidirectionally linear coupling. And the codimension-2 bifurcations can be born because of the bidirectionally...
In this paper, the chaos in fractional-order neutral delay differential equation (NDDE) with fractional-order is discussed. Two different values of fractional-order are considered in the investigated system. Based on the chaotic NDDE system, we realize spread secure communications. Finally, fractional and integer-order neutral differential chaotic systems are compared in communication, and the simulation...
Bursting oscillation in neurons and other excitable cells is thought to be the primary mode of electrical behavior in many biological system. In the previous work, we studied the bursting types in the single Morris-Lecar model with current-feedback control. In this paper, based on studying the nearly complete synchronization of two electrically coupled bursting neurons, we do the further research...
In the paper, we firstly give a new accurate spheroid estimation formula of the globally exponentially attractive set for all positive parameters by constructing a generalized positive definite Lyapunov functions with radially unbound. Secondly, based on inequalities techniques, linear feedback control with one input or two inputs is proposed to realize the globally exponential synchronization of...
We analytically and numerically study the effect of an additional feedback in the semiconductor laser used to pump optoelectronic delay devices. We show that this additional feedback renders the system into chaotic regime for a broader parameter range and also induces a stronger chaotic behavior. We study the synchronization of this system as function of the parameter mismatch and show its capability...
In this study, we propose a parametrically forced logistic map and investigate its bifurcation. By carrying out computer calculations, unique bifurcations from period to chaos are observed. Furthermore, we investigate synchronization phenomena in globally coupled logistic maps which involving parametric force and confirm various kinds of synchronization phenomena. In the case of two coupled maps,...
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