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A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria

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 simp...

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Main Authors:	Theophile Fonzin Fozin, Jacques Kengne, Alexis Nguomkam Negou, Zeric Tabekoueng Njitacke, Viet-Thanh Pham, Sajad Jafari
Format:	Article
Language:	English
Published:	Wiley 2020
Subjects:	Infinite Hyperbolic Nonhyperbolic Equilibria Novel Megastable Hamiltonian System
Online Access:	https://dlib.phenikaa-uni.edu.vn/handle/PNK/582 https://doi.org/10.1155/2020/9260823
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spelling	oai:localhost:PNK-5822022-08-17T05:54:38Z A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria Theophile Fonzin Fozin Jacques Kengne Alexis Nguomkam Negou Zeric Tabekoueng Njitacke Viet-Thanh Pham Sajad Jafari Infinite Hyperbolic Nonhyperbolic Equilibria Novel Megastable Hamiltonian System 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. 2020-10-13T04:03:13Z 2020-10-13T04:03:13Z 2020 Article https://dlib.phenikaa-uni.edu.vn/handle/PNK/582 https://doi.org/10.1155/2020/9260823 en application/pdf Wiley
institution	Digital Phenikaa
collection	Digital Phenikaa
language	English
topic	Infinite Hyperbolic Nonhyperbolic Equilibria Novel Megastable Hamiltonian System
spellingShingle	Infinite Hyperbolic Nonhyperbolic Equilibria Novel Megastable Hamiltonian System Theophile Fonzin Fozin Jacques Kengne Alexis Nguomkam Negou Zeric Tabekoueng Njitacke Viet-Thanh Pham Sajad Jafari A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria
description	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.
format	Article
author	Theophile Fonzin Fozin Jacques Kengne Alexis Nguomkam Negou Zeric Tabekoueng Njitacke Viet-Thanh Pham Sajad Jafari
author_facet	Theophile Fonzin Fozin Jacques Kengne Alexis Nguomkam Negou Zeric Tabekoueng Njitacke Viet-Thanh Pham Sajad Jafari
author_sort	Theophile Fonzin Fozin
title	A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria
title_short	A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria
title_full	A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria
title_fullStr	A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria
title_full_unstemmed	A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria
title_sort	novel megastable hamiltonian system with infinite hyperbolic and nonhyperbolic equilibria
publisher	Wiley
publishDate	2020
url	https://dlib.phenikaa-uni.edu.vn/handle/PNK/582 https://doi.org/10.1155/2020/9260823
_version_	1751856283380613120
score	8.891695

A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria

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