A Novel Megastable Hamiltonian System with Infinite Hyperbolic and Nonhyperbolic Equilibria. (28th September 2020)

• Record Type: Journal Article
• Authors: Leutcho, Gervais Dolvis; Fozin, Theophile Fonzin; Negou, Alexis Nguomkam; Njitacke, Zeric Tabekoueng; Pham, Viet-Thanh; Kengne, Jacques; Jafari, Sajad
• Other Names: Aguilar-Ibanez Carlos Academic Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-09-28
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/9260823
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : 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.