Analysis and modified function projective synchronization of integer and fractional-order autonomous Morse jerk oscillator

Abstract

Dynamical analysis and modified function projective synchronization (MFPS) of integer and fractional-order Morse jerk oscillator are investigated in this paper. Integer-order Morse jerk oscillator generates periodic behaviors, periodic spiking and two different shapes of chaotic attractors. The periodic spiking and chaotic behaviors obtained during numerical simulations of integer-order Morse jerk oscillator is ascertained by using electronic implementation. The numerical simulations results qualitatively agree with the Orcad-PSpice results. Moreover, MFPS of identical and mismatched chaotic Morse jerk oscillators is numerically investigated. At last, the theoretical investigation of fractional-order Morse jerk oscillator reveals the existence of chaos in Morse jerk oscillator for order greater or equal to 2.85.