This paper studies the hidden dynamics of a class of two-dimensional maps inspired by the
Hénon map. A special consideration is made to the existence of fixed points and their …

A memristor is a two-terminal passive electronic device that exhibits memory of resistance. It
is essentially a resistor with memory, hence the name “memristor”. The unique property of …

Robust chaos is defined by the absence of periodic windows and coexisting attractors in
some neighborhoods in the parameter space of a dynamical system. This unique book …

This paper intends to investigate the bifurcation features with chaos and nonlinear coherent
structures for the voltage wave propagation by developing a Hamiltonian dynamical system …

This paper studies a new class of three-dimensional maps in a Jerk-like structure with a
special concern of their hidden chaotic dynamics. Our investigation focuses on the hidden …

The study of systems with memory requires methods which are different from the methods
used in regular dynamics. Systems with power-law memory in many cases can be described …

In this paper we present a uniform way to derive families of maps from the corresponding
differential equations describing systems which experience periodic kicks. The families …

We modified the way in which the Universal Map is obtained in the regular dynamics to
derive the Universal α-Family of Maps depending on a single parameter α> 0⁠, which is the …

This book is a comprehensive collection of known results about the Lozi map, a piecewise-
affine version of the Henon map. Henon map is one of the most studied examples in …

This paper is devoted to local bifurcations of three-dimensional (3D) quadratic jerk system.
First, we start by analysing the saddle-node bifurcation. Then we introduce the concept of …