Dynamics of class of 2-D neural networks

This paper investigated complex dynamical behaviors of a class of 2-D neural networks.Firstly,by the use of contradiction,obtained an invariant set so that the trajectories of neural networks originated from the set would enter it for ever.Proved the existence of the interior equilibrium point by constructing a closed curve and using the winding number of the vector field.Furthermore,proved the boundedness of the networks by using contradiction.Finally,carried digital simulations to validate the findings.