Modelling and control applications of dynamical systems in chaos theory arising in several
areas are investigated and new control techniques are designed in the chaos literature. We …

In this work, we build a new four-dimensional autonomous biological snap oscillator model
for enzyme-substrate reactions in a brain waves model. We investigate the process …

This paper reports the finding a new chaotic system with a pear-shaped equilibrium curve
and makes a valuable addition to existing chaotic systems with infinite equilibrium points in …

In the chaos literature, there is currently significant interest in the discovery of new chaotic
systems with hidden chaotic attractors. A new 4-D chaotic system with only two quadratic …

Chaos theory has several applications in science and engineering. In this work, we
announce a new two-scroll chaotic system with two nonlinearities. The dynamical properties …

Chaos is an active topic of study in the field of secure communication systems that have
garnered much consideration in recent years because of excessive sensitivity to a simple …

A new jerk chaotic system with three nonlinearities is investigated in this work. By modifying
a jerk chaotic system with two cubic nonlinearities obtained by Sprott (1997), we obtain a …

This paper announces a new four-dimensional hyperchaotic hyperjerk system with a single
equilibrium and discusses its dynamic properties such as Lyapunov exponents, phase …

In this research paper, we report the finding of a new four-dimensional, two-wing, chaotic
system with two quadratic nonlinear terms. It is worthwhile to note that the new dissipative …