© 2019 Association for Computing Machinery. ACM ISBN 978-1-4503-7234-3/19/09…$15.00To make research of chaos more amenable to investigating the neural networks through differential equations, we apply the results initiated in [1,2], where the Poincare chaos is introduced. The presence of chaos is approved by existence of unpredictable solutions. The present research considers the existence and uniqueness of asymptotically stable unpredictable solution for a shunting inhibitory cellular neural network (SICNN). Appropriate examples with simulations that support the theoretical results are provided.