Sufficient conditions for limit cycles in autonomous antisymmetric two neuron CNNs
Mireia Vinyoles-Serra, X. Vilasis-Cardona · 2008
This paper gives necessary and sufficient conditions for the existence of limit cycles for an autonomous antisymmetric cellular neural network. The method combines the key arguments of the Poincare-Bendixon theorem with index theory. Further, the generalisation to the non-symmetric case is discussed.