Selection of multi-scroll attractors in Jerk circuits and their verification using Pspice

J Ma, X Wu, R Chu, L Zhang - Nonlinear Dynamics, 2014 - Springer
In this paper, a feasible feedback scheme is used to stabilize the multi-scroll attractors in the
Jerk circuit, and the controller is realized using mixed Heaviside function. It is found that …

A novel no-equilibrium chaotic system with multiwing butterfly attractors

FR Tahir, S Jafari, VT Pham, C Volos… - International Journal of …, 2015 - World Scientific
Discovering unknown features of no-equilibrium systems with hidden strange attractors is an
attractive research topic. This paper presents a novel no-equilibrium chaotic system that is …

Multi-scroll hidden attractors in improved Sprott A system

X Hu, C Liu, L Liu, J Ni, S Li - Nonlinear Dynamics, 2016 - Springer
In this paper, two simple 3D chaotic systems are constructed by introducing nonlinear
functions into Sprott A system, which all have no equilibrium, and multi-scroll hidden …

Generating novel multi-scroll chaotic attractors via fractal transformation

D Yan, M Ji'e, L Wang, S Duan, X Du - Nonlinear Dynamics, 2022 - Springer
The fractal and chaos are bound tightly, and their relevant researches are well-established.
Few of them, however, concentrate on the research of the possibility of combining fractal and …

Four-wing attractors in a novel chaotic system with hyperbolic sine nonlinearity

Z Wang, C Volos, ST Kingni, AT Azar, VT Pham - Optik, 2017 - Elsevier
Chaotic systems generating multi-wing attractors have received considerable attention in the
literature. In this work, we propose a novel three-dimensional chaotic system with hyperbolic …

Multi-scroll chaotic oscillator based on a first-order delay differential equation

VT Pham, CK Volos, S Vaidyanathan - Chaos Modeling and Control …, 2015 - Springer
After the discovery of the well-known chaotic Lorenz's system, the study of chaos has
received considerable attention due to its promising applications in a variety of fields …

Multi-scroll hidden attractors and multi-wing hidden attractors in a 5-dimensional memristive system

X Hu, C Liu, L Liu, Y Yao, G Zheng - Chinese Physics B, 2017 - iopscience.iop.org
Abstract A novel 5-dimensional (5D) memristive chaotic system is proposed, in which multi-
scroll hidden attractors and multi-wing hidden attractors can be observed on different phase …

[HTML][HTML] Generation of self-similarity in a chaotic system of attractors with many scrolls and their circuit's implementation

A Dlamini, EFD Goufo - Chaos, Solitons & Fractals, 2023 - Elsevier
The concept of self-similarity, widely employed in specialized fields of applied sciences, has
been investigated through numerous works utilizing both analytical elements and …

Lessons learnt from the cryptanalysis of chaos-based ciphers

G Alvarez, JM Amigó, D Arroyo, S Li - Chaos-Based Cryptography: Theory …, 2011 - Springer
Introduction The idea of using chaotic transformations in cryptography is explicit in the
foundational papers of Shannon on secrecy systems (eg,[96]). Although the word “chaos” …

The infinite-scroll attractor and energy transition in chaotic circuit

F Li, C Yao - Nonlinear Dynamics, 2016 - Springer
Nonlinear oscillators composed of multi-scroll chaotic attractor show much more complicate
and rich chaotic dynamics and are often used for generating complex secure keys and …