Lower-dimensional simple chaotic systems with spectacular features

Z Wang, A Ahmadi, H Tian, S Jafari, G Chen - Chaos, Solitons & Fractals, 2023 - Elsevier
Lower-dimensional chaotic systems are easily implementable and cost-effective, therefore,
more desirable for practical considerations. Not only can such systems preserve basic …

Hidden attractors in dynamical systems

D Dudkowski, S Jafari, T Kapitaniak, NV Kuznetsov… - Physics Reports, 2016 - Elsevier
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …

Coexistence of hidden chaotic attractors in a novel no-equilibrium system

VT Pham, C Volos, S Jafari, T Kapitaniak - Nonlinear Dynamics, 2017 - Springer
Hidden attractors have received considerable interest in physics, mechanics and other
dynamical areas recently. This paper introduces a novel autonomous system with hidden …

Generating grid chaotic sea from system without equilibrium point

N Wang, G Zhang, NV Kuznetsov, H Li - Communications in Nonlinear …, 2022 - Elsevier
The dynamical system without equilibrium point is considered having hidden dynamics. It is
relatively difficult to locate the attractor in the state space as its attraction basin has nothing …

[HTML][HTML] Dynamical analysis of a new multistable chaotic system with hidden attractor: Antimonotonicity, coexisting multiple attractors, and offset boosting

A Bayani, K Rajagopal, AJM Khalaf, S Jafari… - Physics Letters A, 2019 - Elsevier
Analyzing chaotic systems with coexisting and hidden attractors has been receiving much
attention recently. In this article, we analyze a four dimensional chaotic system which has a …

Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system

NV Kuznetsov, GA Leonov, TN Mokaev, A Prasad… - Nonlinear …, 2018 - Springer
The Rabinovich system, describing the process of interaction between waves in plasma, is
considered. It is shown that the Rabinovich system can exhibit a hidden attractor in the case …

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 …

A multidimensional hyperjerk oscillator: Dynamics analysis, analogue and embedded systems implementation, and its application as a cryptosystem

T Nestor, NJ De Dieu, K Jacques, EJ Yves, AM Iliyasu… - Sensors, 2019 - mdpi.com
A lightweight image encryption algorithm is presented based on chaos induction via a 5-
dimensional hyperjerk oscillator (5DHO) network. First, the dynamics of our 5DHO network is …

DC-offset strategy for controlling hidden and multistable behaviors in physical circuits

M Chen, A Wang, H Wu, B Chen… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Analog circuit detection of hidden and multistable dynamics is an intractable problem as
their attraction basins are hard to locate rigorously in analog circuits. This article proposes a …

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 …