Strange Attractors in Nonlinear Time-delay Neural Systems
Shyan-Shiou Chen, Chang‐Yuan Cheng · 2009
Abstract—In this paper, we provide a geometric construction of a transversal homoclinic orbit for a nonlinear model neuron with time delays. The existence of chaos for time-delay systems in a highdimensional space is theoretically confirmed with several conditions. These units may be used as basic elements for networks with higher-order information processing capabilities. Keywords: Nonlinear Time-delay Systems, neural networks, Marotto’s chaos, transversal homoclinic orbits