Analysis on stable periodic orbits in chaotic oscillators coupled by a very weak diffusive connection

Abstract

The present paper investigates a stable periodic orbit in chaotic oscillators coupled by a very weak diffusive connection. The coupled system is easily implemented by the double scroll circuits. The stable periodic orbit is experimentally observed in the coupled circuits. Further, such orbit exists even in simple coupled logistic maps. The maps allow us to find the reason the orbit is generated by the very weak diffusive connection.