The chaotic system with complicated dynamical behaviors has high potential in practical
applications. This paper reports a simple smooth 3D dynamical system that is derived from …

This paper analyzes complex dynamics of the generalized Langford system (GLS) with five
parameters. First, some important local dynamics such as the Hopf bifurcations and the …

We characterize the zero-Hopf bifurcation at a singular point of a parameter jerk system. By
employing the second order averaging theory, we demonstrate that up to three periodic …

Let the three-dimensional differential system defined by the jerk equation x ⃛=− ax ̈+ xx ̇
2− x 3− b x+ cx ̇, with a, b, c∈ R. When a= b= 0 and c< 0 the equilibrium point localized at …

In this work, a Hopf bifurcation at infinity in three-dimensional symmetric continuous
piecewise linear systems with three zones is analyzed. By adapting the so-called closing …

This work explores the dynamic laws of electrical contact resistance (ECR) signals
measured in the sliding current-carrying friction tests based on chaos theory. It is found that …

We consider the four-dimensional hyperchaotic system x ̇= a (y− x)⁠, y ̇= b x+ u− y− xz⁠,
z ̇= xy− cz⁠, and u ̇=− du− j x+ exz⁠, where a, b, c, d, j, and e are real parameters. This …

This book illustrates the correlation between connected citizens and smart communities and
cities. It delves into the fundamental element of smart communities, the concept of a unified …

Abstract The three-dimensional Muthuswamy–Chua–Ginoux (MCG, for short) circuit system
based on a thermistor is a generalization of the classical Muthuswamy–Chua circuit …

A scheme to implement the Jerk form of the Chua system family using a controllable
canonical form applied in linear systems is proposed. The main thought is that the nonlinear …