Chaotic-cipher based memory efficient symmetric key cryptosystem

In this paper we proposes a chaotic attractor based symmetric-key cryptosystem as it's alternative based on some advantages, specifications and novel performences from other systems like as; Considerably smaller key space (typically 192bits), do not relies on computational infeasibility of determining prime factor, do not relies of randomness of initial point, relies on mathematical property of equations with multiple solutions, possible to implement on minuscule amount of memory and possible to optimize to use less processor cycle hence drawing less power.