A fractional-order permanent magnet synchronous motor (PMSM) model is proposed and
analyzed by phase portraits, bifurcation diagrams, Lyapunov exponents and Poincaré maps …

In this paper, the fractional-order complex T system is proposed. The dynamics of the system
including symmetry, the stability of equilibrium points, bifurcations with variation of system …

Using Fourier analysis as tool, we prove that the Caputo fractional-order derivative of the
non-constant periodic function cannot be periodic, and thus we confirm the nonexistence of …

This study examines the dynamical properties of the Ikeda map, with a focus on bifurcations
and chaotic behavior. We investigate how variations in dissipation parameters influence the …

An interesting feature in dissipative nonlinear systems is the emergence of characteristic
domains in parameter space that exhibit periodic temporal evolution, known as shrimp …

This work presents a numerical investigation on the evolution of the temporal nonlinear
behavior in an atmospheric pressure He/N 2 DBD with nitrogen content, based on a 1-D …

This paper demonstrates the existence of Feigenbaum's constants in reverse bifurcation for
fractional-order Rössler system. First, the numerical algorithm of fractional-order Rössler …

A hybrid stability checking method is proposed to verify the establishment of synchronization
between two hyperchaotic systems. During the design stage of a synchronization scheme for …

Soil salinization process is a complex non-linear dynamic evolution. To classify a system
with this type of non-linear characteristic, this study proposed a mixed master/slave chaotic …

In this article, the mechanism governing the dependence of temporal nonlinear behavior on
the gap width in atmospheric-pressure helium dielectric barrier discharges has been …