This chapter presents the Van der Pol oscillator (VPO). Several formulations of the VPO are
analyzed, namely the classical integer-order and the real and complex fractional-order …

A new four-dimensional chaotic system with only two quadratic nonlinearities is proposed in
this paper. It is interesting that the new chaotic system exhibits a two-wing strange attractor …

This paper conveys new results of a new finance chaotic system with three unstable balance
points of which one balance point is a hyperbolic saddle while the other balance points are …

In this work, we describe a seven-term novel 3-D jerk chaotic system with two nonlinearities
(quadratic and cubic). The phase portraits of the novel jerk chaotic system are displayed and …

In this work, we first describe the Ghorui jerk chaotic system (2000) describing a strange
attractor of a thermal arc plasma system based on triple convection theory. The phase …

In this work, we describe a seven-term novel chaotic system with a quartic nonlinearity and
two quadratic nonlinearities. The phase portraits of the novel chaotic system are illustrated …

Chaos and hyperchaos have important applications in finance, physics, chemistry, biology,
ecology, secure communications, cryptosystems and many scientific branches. Control and …

In this work, we describe a novel 3-D dissipative circulant chaotic system with labyrinth
chaos. The novel chaotic system is a nine-term polynomial system with six sinusoidal …

In this work, we describe an eight-term novel highly chaotic system with three quadratic
nonlinearities. The phase portraits of the novel highly chaotic system are illustrated and the …

A new 4-D hyperchaotic two-wing system with three quadratic nonlinearities is proposed in
this paper. The dynamical properties of the new hyperchaotic system are described in terms …