Abstract
The multistability problem is discussed for 2n-dimensional bidirectional associative memory (BAM) neural networks with a general class of activation functions. By using analysis approach and decomposition of state space, ¿ <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2n</sup> can be divided into 3 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</sup> regions. 2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</sup> regions of them are positive invariant, and under some conditions, every invariant set has a locally exponentially stable equilibrium. Moreover, new attractive basin is investigated. It is larger than the positive invariant set. Finally, numerical simulations are carried out to illustrate the results.
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