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) …

Current-mode network structures dedicated for simulation of dynamical systems with plane continuum of equilibrium

J Petrzela, T Gotthans, M Guzan - Journal of Circuits, Systems and …, 2018 - World Scientific
This review paper describes different lumped circuitry realizations of the chaotic dynamical
systems having equilibrium degeneration into a plane object with topological dimension of …

Strange attractors and optimal analysis of chaotic systems based on fractal verses fractional differential operators

KA Abro, A Atangana - International Journal of Modelling and …, 2022 - Taylor & Francis
In this paper, role of chaotic systems with perpendicular line equilibrium, line equilibrium,
and no-equilibrium is investigated by employing Mittage-Leffler kernel. The fractal …

Chaotic systems based on higher-order oscillatory equations

J Petrzela - Scientific Reports, 2024 - nature.com
This paper discusses the design process toward new lumped chaotic systems that originates
in higher-order ordinary differential equations commonly used as description of ideal …

[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 …

[HTML][HTML] A simple three-dimensional quadratic flow with an attracting torus

M Mehrabbeik, S Jafari, JC Sprott - Physics Letters A, 2022 - Elsevier
Attracting torus is a rare phenomenon in the dynamics of low-dimensional autonomous
systems. Adding an anti-damping term to the well-known Nosé-Hoover oscillator, this paper …

[PDF][PDF] Multistability in a Novel Chaotic System with Perpendicular Lines of Equilibrium: Analysis, Adaptive Synchronization and Circuit Design.

A Sambas, S Vaidyanathan, S Zhang… - Engineering …, 2019 - researchgate.net
This paper reports the finding of a new chaotic system with perpendicular lines of
equilibrium points. Thus, this paper makes a valuable addition to existing chaotic systems …

[PDF][PDF] A new chaotic system with a pear-shaped equilibrium and its circuit simulation

A Sambas, S Vaidyanathan, M Mamat… - International Journal of …, 2018 - core.ac.uk
This paper reports the finding a new chaotic system with a pear-shaped equilibrium curve
and makes a valuable addition to existing chaotic systems with infinite equilibrium points in …

[PDF][PDF] A new 4-D chaotic system with hidden attractor and its circuit implementation

A Sambas, M Mamat, S Vaidyanathan… - International Journal of …, 2018 - academia.edu
In the chaos literature, there is currently significant interest in the discovery of new chaotic
systems with hidden chaotic attractors. A new 4-D chaotic system with only two quadratic …

New technique to quantify chaotic dynamics based on differences between semi-implicit integration schemes

DN Butusov, DO Pesterev, AV Tutueva… - … in Nonlinear Science …, 2021 - Elsevier
Many novel chaotic systems have recently been identified and numerically studied.
Parametric chaotic sets are a valuable tool for determining and classifying oscillation …