A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria
Joint Authors
Pham, Viet-Thanh
Jafari, Sajad
Njitacke, Zeric Tabekoueng
Fozin, Theophile Fonzin
Kengne, Jacques
Leutcho, Gervais Dolvis
Negou, Alexis Nguomkam
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The dimension of the conservative chaotic systems is an integer and equals the system dimension, which brings about a better ergodic property and thus have potentials in engineering application than the dissipative systems.
This paper investigates the phenomenon of megastability in a unique and simple conservative oscillator with infinite of hyperbolic and nonhyperbolic equilibria.
Using traditional nonlinear analysis tools, we found that the introduced oscillator possesses an invariable energy and displays either self-excited or hidden dynamics depending on the stability of its equilibria.
Besides, the conservative nature of the new system is validated using theoretical measurement.
Furthermore, an analog simulator of the oscillator is built and simulated in the PSpice environment to confirm that the previous results were not artifacts.
American Psychological Association (APA)
Leutcho, Gervais Dolvis& Fozin, Theophile Fonzin& Negou, Alexis Nguomkam& Njitacke, Zeric Tabekoueng& Pham, Viet-Thanh& Kengne, Jacques…[et al.]. 2020. A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria. Complexity،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1145492
Modern Language Association (MLA)
Leutcho, Gervais Dolvis…[et al.]. A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria. Complexity No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1145492
American Medical Association (AMA)
Leutcho, Gervais Dolvis& Fozin, Theophile Fonzin& Negou, Alexis Nguomkam& Njitacke, Zeric Tabekoueng& Pham, Viet-Thanh& Kengne, Jacques…[et al.]. A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria. Complexity. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1145492
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1145492