This paper aims to present a new analytical method for behavioral analysis of the memcapacitor-based hyperchaotic oscillator by adaptive multi-step differential transform method (adaptive MsDTM). Comparisons between the MsDTM, adaptive MsDTM and Runge-Kutta 4th order method (RK4M) are made. In this paper, a new technique to calculate Lyapunov exponent (LE) based on adaptive MsDTMis proposed. The effect of different systemparameters on systemperformance is studied analytically. For this purpose, the LEs of the system are analytically calculated according to various systemparameters. Finally, the effect of additive noise on systemperformance is investigated.
