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Dynamical Behaviors of Coupled Memristor-Based Oscillators with Identical and Different Nonlinearities
Joint Authors
Elsaid, A.
Elsonbaty, A.
Abdelkhalek, A.
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-21
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
In this work, the interesting dynamics of coupled nonlinear memristor-based oscillators in ring configuration are explored.
The mathematical models are derived to describe the possible cases of employing identical or different nonlinearities.
Analytical and numerical techniques, involving perturbation methods, normal forms, phase portraits, and Lyapunov exponents are used to investigate various types of dynamical behaviors along with their stability regions in parameters space.
The effects of time-delayed coupling on the proposed system are numerically studied.
It is demonstrated that the coupled oscillators show rich dynamics including periodic orbits, quasiperiodicity, two-dimensional, and three-dimensional tori.
American Psychological Association (APA)
Elsonbaty, A.& Abdelkhalek, A.& Elsaid, A.. 2018. Dynamical Behaviors of Coupled Memristor-Based Oscillators with Identical and Different Nonlinearities. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-20.
https://search.emarefa.net/detail/BIM-1207469
Modern Language Association (MLA)
Elsonbaty, A.…[et al.]. Dynamical Behaviors of Coupled Memristor-Based Oscillators with Identical and Different Nonlinearities. Mathematical Problems in Engineering No. 2018 (2018), pp.1-20.
https://search.emarefa.net/detail/BIM-1207469
American Medical Association (AMA)
Elsonbaty, A.& Abdelkhalek, A.& Elsaid, A.. Dynamical Behaviors of Coupled Memristor-Based Oscillators with Identical and Different Nonlinearities. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-20.
https://search.emarefa.net/detail/BIM-1207469
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207469