Abstract
Abstract:
This article introduces a new chaotic system
of 4-D autonomous ordinary differential equations,
which has no equilibrium. This system shows
a hyper-chaotic attractor. There is no sink in this system
as there is no equilibrium. The proposed system is
investigated through numerical simulations and analyses
including time phase portraits, Lyapunov exponents,
and Poincaré maps. There is little difference between
this chaotic system and other chaotic systems
with one or several equilibria shown by phase portraits,
Lyapunov exponents and time series methods,
but the Poincaré maps show this system is a chaotic
system with more complicated dynamics. Moreover,
the circuit realization is also presented.