A Simple Snap Oscillator with Coexisting Attractors, Its Time-Delayed Form, Physical Realization, and Communication Designs-Reference-Cited by-同舟云学术

A Simple Snap Oscillator with Coexisting Attractors, Its Time-Delayed Form, Physical Realization, and Communication Designs

Published:2018-04-10 Issue:5 Volume:73 Page:385-398
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Rajagopal Karthikeyan¹^ORCID,Jafari Sajad²,Akgul Akif³,Karthikeyan Anitha¹,Çiçek Serdar⁴,Shekofteh Yasser⁵

Affiliation:

1. Centre for Non-Linear Dynamics , Defense University , Bishoftu , Ethiopia

2. Biomedical Engineering Department , Amirkabir University of Technology , Tehran , Iran

3. Department of Electrical and Electronics Engineering , Faculty of Technology , Sakarya University , Sakarya , Turkey , E-mail:

4. Department of Electronic and Automation, Vocational School of Hacıbektaş , Nevşehir Hacı Bektaş Veli University , 50800, Hacıbektaş , Nevşehir , Turkey , E-mail:

5. Faculty of Computer Science and Engineering , Shahid Beheshti University , Tehran , Iran

Abstract

Abstract In this paper, we report a novel chaotic snap oscillator with one nonlinear function. Dynamic analysis of the system shows the existence of bistability. To study the time delay effects on the proposed snap oscillator, we introduce multiple time delay in the fourth state equation. Investigation of dynamical properties of the time-delayed system shows that the snap oscillator exhibits the same multistable properties as the nondelayed system. The new multistable hyperjerk chaotic system has been tested in chaos shift keying and symmetric choc shift keying modulated communication designs for engineering applications. It has been determined that the symmetric chaos shift keying modulated communication system implemented with the new chaotic system is more successful than the chaos shift keying modulation for secure communication. Also, circuit implementation of the chaotic snap oscillator with tangent function is carried out showing its feasibility.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2017-0426/pdf

Reference69 articles.

1. E. N. Lorenz, J. Atmos. Sci. 20, 130 (1963).

2. O. E. Rössler, Phys. Lett. A 57, 397(1976).

3. O. E. Rössler, Ann. N. Y. Acad. Sci. 316, 376 (1979).

4. J. C. Sprott, Phys. Rev. E 50, R647 (1994).

5. S. H. Schot, Am. J. Phys. 46, 1090 (1978).

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Investigations of complex systems’ dynamics, based on reduced amount of information: introduction to the method;Nonlinear Dynamics;2023-07-13

2. The dynamical analysis of non-uniform neocortical network model in up-down state oscillations;Chaos, Solitons & Fractals;2023-03

3. Alternative Methods of the Largest Lyapunov Exponent Estimation with Applications to the Stability Analyses Based on the Dynamical Maps—Introduction to the Method;Materials;2021-11-25

4. A new hyperchaotic system from T chaotic system: dynamical analysis, circuit implementation, control and synchronization;Circuit World;2021-05-18

5. The modeling of memcapacitor oscillator motion with ANN and its nonlinear control application;Mem-elements for Neuromorphic Circuits with Artificial Intelligence Applications;2021