Chaotic flows with special equilibria

Z Wang, Z Wei, K Sun, S He, H Wang, Q Xu… - The European Physical …, 2020 - Springer
In this review, we categorize chaotic systems with special properties in their equilibrium into
eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE) …

A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a …

H Jahanshahi, A Yousefpour, JM Munoz-Pacheco… - Applied Soft …, 2020 - Elsevier
Four-dimensional chaotic systems are a very interesting topic for researchers, given their
special features. This paper presents a novel fractional-order four-dimensional chaotic …

Simulation and experimental validation of a non-equilibrium chaotic system

H Jahanshahi, O Orozco-López… - Chaos, Solitons & …, 2021 - Elsevier
Nowadays, chaotic systems are attracting considerable attention due to their special
features. The aim of this paper is to study a four-dimensional system that lacks any …

Secure Communication Scheme Based on a New 5D Multistable Four‐Wing Memristive Hyperchaotic System with Disturbance Inputs

F Yu, Z Zhang, L Liu, H Shen, Y Huang, C Shi… - …, 2020 - Wiley Online Library
By introducing a flux‐controlled memristor model with absolute value function, a 5D
multistable four‐wing memristive hyperchaotic system (FWMHS) with linear equilibrium …

Entropy analysis and neural network-based adaptive control of a non-equilibrium four-dimensional chaotic system with hidden attractors

H Jahanshahi, M Shahriari-Kahkeshi, R Alcaraz… - Entropy, 2019 - mdpi.com
Today, four-dimensional chaotic systems are attracting considerable attention because of
their special characteristics. This paper presents a non-equilibrium four-dimensional chaotic …

A new fractional-order chaotic system with different families of hidden and self-excited attractors

JM Munoz-Pacheco, E Zambrano-Serrano, C Volos… - Entropy, 2018 - mdpi.com
In this work, a new fractional-order chaotic system with a single parameter and four
nonlinearities is introduced. One striking feature is that by varying the system parameter, the …

A new chaotic system with a self-excited attractor: entropy measurement, signal encryption, and parameter estimation

G Xu, Y Shekofteh, A Akgül, C Li, S Panahi - Entropy, 2018 - mdpi.com
In this paper, we introduce a new chaotic system that is used for an engineering application
of the signal encryption. It has some interesting features, and its successful implementation …

A new chaotic flow with hidden attractor: The first hyperjerk system with no equilibrium

S Ren, S Panahi, K Rajagopal, A Akgul… - … für Naturforschung A, 2018 - degruyter.com
Discovering unknown aspects of non-equilibrium systems with hidden strange attractors is
an attractive research topic. A novel quadratic hyperjerk system is introduced in this paper. It …

A new nonlinear oscillator with infinite number of coexisting hidden and self-excited attractors

YX Tang, AJM Khalaf, K Rajagopal, VT Pham… - Chinese …, 2018 - iopscience.iop.org
In this paper, we introduce a new two-dimensional nonlinear oscillator with an infinite
number of coexisting limit cycles. These limit cycles form a layer-by-layer structure which is …

A new four-dimensional system containing chaotic or hyper-chaotic attractors with no equilibrium, a line of equilibria and unstable equilibria

F Nazarimehr, K Rajagopal, J Kengne, S Jafari… - Chaos, Solitons & …, 2018 - Elsevier
In this paper, a new multi-character dynamical system is proposed. It has chaotic and hyper-
chaotic attractors without any equilibrium, with a line of equilibria or with unstable …