A Review: Comparative Analysis of Chaotic Systems With Their Fractional Order Counterparts

Chaos is generally understood as confusion or disorder. It is the property of systems which are complex and unpredictable in nature. Chaos is often misunderstood as noise, but they are different entities due to the predictable nature of chaos. In this paper different chaotic systems are studied and compared with each other and then with their fractional order counterparts. Fractional Calculus is not a new topic though but the use of it has been applied efficiently in the last few decades. Generally, real objects are fractional order systems, thus fractional order has been implemented on the different chaotic systems which are discussed in the paper and the changes on the systems are studied accordingly. The chaotic system’s behavior is observed both for integer order and fractional order. Each system’s chaotic nature is studied for different fractional orders and analyzed to check which order is suitable to observe chaos in the respective chaotic system.