In this paper, we show, by means of a linear scaling in time and coordinates, that the Chen
system, given by x ̇= a (y− x), y ̇=(c− a) x+ cy− xz, z ̇=− b z+ xy, is, generically (⁠ c≠ 0⁠) …

An approach based on combining nonparametric Gaussian process (GP) modeling with
certain local topological considerations is presented for prediction (one-step look ahead) of …

Synchronizing nonidentical chaotic oscillators is very often achieved by using various types
of couplings. In the practice of synchronization the “right choice” of the coupling variable—y …

The transformation of a three-dimensional dynamical system to its differential model can be
used to identify different nonlinear dynamical systems that share the same time series of one …

After suggesting criteria to recognize a new system and a new attractor—and to make a
distinction between them—the paper details the topological analysis of the “cord” attractor …

ABSTRACT In 1994, Sprott [Phys. Rev. E 50, 647–650 (1994)] proposed a set of 19 different
simple dynamical systems producing chaotic attractors. Among them, 14 systems have a …

In this paper, the dynamics of a class of non-autonomous systems, generated from a unified
chaotic autonomous system, is studied. It is found, via parameter modulation, that they have …

In recent years, the Chen system as a dual system [7] and some Lorenz-like systems have
been constructed, including for instance the generalized Lorenz systems family [4, 6, 21] …

We use well-established methods of knot theory to study the topological structure of the set
of periodic orbits of the Lü attractor. We show that, for a specific set of parameters, the Lü …

Some chaotic attractors produced by three-dimensional dynamical systems without any
singular point have now been identified, but explaining how they are structured in the state …