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In the paper, by using topological degree theory and Lyapunov function method, the issue of global robust stability is investigated for a class of interval bidirectional associative memory neural networks with inverse Lipschitz neuron activations, a novel sufficient conditions are established towards the existence, uniqueness and global robust stability of the equilibrium point, finally, a examples...
Based on the well-known topological horseshoe theorem, a new rigorous computer-assisted proof for the existence of topological horseshoe in Chen's attractor is given. An appropriate Poincare section of Chen's attractor is chosen to obtain the corresponding Poincare map which is proved to be semi-conjugate to a 2-shift map. This implies that Chen's attractor has positive topological entropy, thus in...
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