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) …

Complete analysis and engineering applications of a megastable nonlinear oscillator

H Jahanshahi, K Rajagopal, A Akgul, NN Sari… - International Journal of …, 2018 - Elsevier
In this paper, we investigate some unrevealed features of a newly introduced megastable
chaotic oscillator. This oscillator has a rich dynamical behavior including limit cycle, torus …

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 …

Presence of megastability and infinitely many equilibria in a periodically and quasi-periodically excited single-link manipulator

JP Singh, J Koley, K Lochan, BK Roy - International Journal of …, 2021 - World Scientific
In the last two years, many chaotic or hyperchaotic systems with megastability have been
reported in the literature. The reported systems with megastability are mostly developed from …

A new double-wing chaotic system with coexisting attractors and line equilibrium: bifurcation analysis and electronic circuit simulation

A Sambas, S Vaidyanathan, S Zhang, Y Zeng… - IEEE …, 2019 - ieeexplore.ieee.org
This research work reports a double-wing chaotic system with a line of equilibrium points
and constructs an electronic circuit via MultiSIM for practical implementation. Explicitly, the …

A new oscillator with mega-stability and its Hamilton energy: infinite coexisting hidden and self-excited attractors

GD Leutcho, AJM Khalaf… - … Journal of Nonlinear …, 2020 - pubs.aip.org
In this paper, we introduce an interesting new megastable oscillator with infinite coexisting
hidden and self-excited attractors (generated by stable fixed points and unstable ones) …

Simplest megastable chaotic oscillator

S Jafari, K Rajagopal, T Hayat, A Alsaedi… - International Journal of …, 2019 - World Scientific
Recently, chaotic systems with hidden attractors and multistability have been of great
interest in the field of chaos and nonlinear dynamics. Two special categories of systems with …

Infinitely many hidden attractors in a new fractional-order chaotic system based on a fracmemristor

JM Muñoz-Pacheco - The European Physical Journal Special Topics, 2019 - Springer
Memristor and fractional-order derivatives are feasible options for constructing new systems
with complex dynamics. This paper presents a new fractional-order chaotic system based on …

Coexistence of attractors in a simple chaotic oscillator with fractional-order-memristor component: analysis, FPGA implementation, chaos control and synchronization

K Rajagopal, ST Kingni, AJM Khalaf… - The European Physical …, 2019 - Springer
In this paper, the simplest chaotic oscillator with fractional-order-memristor component
(SCOF) is proposed. Dynamical characteristics of the proposed chaotic oscillator are …

[PDF][PDF] A novel mega-stable chaotic circuit

VT Pham, DS Ali, NMG Al-Saidi, K Rajagopal… - …, 2020 - academia.edu
In recent years designing new multistable chaotic oscillators has been of noticeable interest.
A multistable system is a double-edged sword which can have many benefits in some …