Small worlds: the dynamics of networks between order and randomness
Small worlds: the dynamics of networks between order and randomness
Connectivity and complexity: the relationship between neuroanatomy and brain dynamics
Neural Networks - Special issue on the global brain: imaging and modelling
Dynamics of Controlled Mechanical Systems with Delayed Feedback
Dynamics of Controlled Mechanical Systems with Delayed Feedback
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This paper studies quantitatively a high dimensional delayed neural network with small world connection. On the basis of Lyapunov stability approach, we investigate the asymptotic stability of the trivial equilibrium and obtain delay-dependent criteria ensuring global stability for the neural network. It shows that the small world connection decreases the global stability interval. Special attention is paid to the complex dynamics due to the short-cut connenction. Some complex dynamical behaviors are exhibited numerically such as period-doubling bifurcation and quasi-period bifurcation to chaos. It would be promising that small world connection can be used as an effective scheme to control the dynamics.