An exponential jerk system, its fractional-order form with dynamical analysis and engineering application

摘要: A simple jerk system with only one exponential nonlinearity is proposed and discussed. Dynamic analysis of the integer-order shows existence chaotic oscillations. model for fractional-order derived. The Adomian decomposition method used to analyse system. Stability that oscillations exist in orders less than bifurcation range fractional periodic To show randomness system, a pseudorandom number generator designed tested. NIST-800-22 tests effective showing randomness. Finally, an image hiding application audio data has been realized by using developed RNG algorithm. encrypted hidden being embedded data, then, on receiver side, are recovered taking from file.