scholarly journals Bounded Orbits and Multiple Scroll Coexisting Attractors in a Dual System of Chua System

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 147907-147918
Author(s):  
Yue Liu ◽  
Herbert Ho-Ching Iu ◽  
Hui Li ◽  
Xuefeng Zhang
Keyword(s):  
Dual System ◽  
Coexisting Attractors

Chaos and coexisting attractors in glucose-insulin regulatory system with incommensurate fractional-order derivatives

2021 ◽  
Vol 143 ◽  
pp. 110575
Author(s):  
Nadjette Debbouche ◽  
A. Othman Almatroud ◽  
Adel Ouannas ◽  
Iqbal M. Batiha
Keyword(s):  
Fractional Order ◽  
Regulatory System ◽  
Coexisting Attractors

scholarly journals Coexisting Attractors and Multistability in a Simple Memristive Wien-Bridge Chaotic Circuit

Entropy ◽  
2019 ◽  
Vol 21 (7) ◽  
pp. 678 ◽  
Author(s):  
Yixuan Song ◽  
Fang Yuan ◽  
Yuxia Li
Keyword(s):  
Chaotic System ◽  
Analog Circuit ◽  
Random Sequence ◽  
Mathematical Expression ◽  
Digital Signal ◽  
Approximate Entropy ◽  
Chaotic Circuit ◽  
Coexisting Attractors ◽  
Key Space ◽  
Sequence Generator

In this paper, a new voltage-controlled memristor is presented. The mathematical expression of this memristor has an absolute value term, so it is called an absolute voltage-controlled memristor. The proposed memristor is locally active, which is proved by its DC V–I (Voltage–Current) plot. A simple three-order Wien-bridge chaotic circuit without inductor is constructed on the basis of the presented memristor. The dynamical behaviors of the simple chaotic system are analyzed in this paper. The main properties of this system are coexisting attractors and multistability. Furthermore, an analog circuit of this chaotic system is realized by the Multisim software. The multistability of the proposed system can enlarge the key space in encryption, which makes the encryption effect better. Therefore, the proposed chaotic system can be used as a pseudo-random sequence generator to provide key sequences for digital encryption systems. Thus, the chaotic system is discretized and implemented by Digital Signal Processing (DSP) technology. The National Institute of Standards and Technology (NIST) test and Approximate Entropy analysis of the proposed chaotic system are conducted in this paper.

Harmonic Oscillators with Nonlinear Damping

2017 ◽  
Vol 27 (11) ◽  
pp. 1730037 ◽  
Author(s):  
J. C. Sprott ◽  
W. G. Hoover
Keyword(s):  
Dynamical Systems ◽  
Harmonic Oscillator ◽  
Strange Attractor ◽  
Nonlinear Damping ◽  
Harmonic Oscillators ◽  
Coexisting Attractors ◽  
Simple Harmonic Oscillator ◽  
Interesting Behavior

Dynamical systems with special properties are continually being proposed and studied. Many of these systems are variants of the simple harmonic oscillator with nonlinear damping. This paper characterizes these systems as a hierarchy of increasingly complicated equations with correspondingly interesting behavior, including coexisting attractors, chaos in the absence of equilibria, and strange attractor/repellor pairs.

Developments in Dual System of Population Size and Growth

1980 ◽  
Vol 5 (3) ◽  
pp. 328
Author(s):  
A. Romaniuk ◽  
Karol Krótki ◽  
Karol Krotki
Keyword(s):  
Population Size ◽  
Dual System
Sign in / Sign up

Export Citation Format

Share Document