Our objective is to investigate the innovative dynamics of piecewise smooth systems with
multiple discontinuous switching manifolds. This paper establishes the coexistence of …

This perspective reviews the subject of synchronization in networks of coupled non-phase
oscillators in the presence of parametric mismatches. We first discuss the case of small …

Double-scroll attractors are one of the pillars of modern chaos theory. However, rigorous
computer-free analysis of their existence and global structure is often elusive. Here, we …

In this paper, the robust stabilization and synchronization of a novel chaotic system are
presented. First, a novel chaotic system is presented in which this system is realized by …

In this paper, we consider a new class of piecewise linear (PWL) systems with two virtual
stable node-foci (the meaning of “virtual” is from Bernardo et al.(2008)) which exhibits …

Abstract Systems that synchronize in nature are intrinsically different from one another, with
possibly large differences from system to system. While a vast part of the literature has …

Detecting an isolated homoclinic or heteroclinic cycle is a great challenge in a concrete
system, letting alone the case of coexisting scenarios and more complicated chaotic …

Real world networks contain multiple layers of links whose interactions can lead to
extraordinary collective dynamics, including synchronization. The fundamental problem of …

In this paper, we investigate the homoclinic orbits for the three-dimensional continuous
piecewise linear generalized Michelson systems via analytical methods and numerical …

In this paper, the sine function memristor and the cosine function memristor are connected in
series, and the constructed series memristor is numerically analyzed through its volt-ampere …