Presence of Megastability and Infinitely Many Equilibria in a Periodically and Quasi-Periodically Excited Single-Link Manipulator

Singh, Jay Prakash and Koley, Jit and Lochan, Kshetrimayum and Roy, Krishna Binoy (2021) Presence of Megastability and Infinitely Many Equilibria in a Periodically and Quasi-Periodically Excited Single-Link Manipulator. International Journal of Bifurcation and Chaos,, 31 (2). pp. 2130005-1. ISSN 0218-1274

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Abstract

In the last two years, many chaotic or hyperchaotic systems with megastability have been reported in the literature. The reported systems with megastability are mostly developed from their dynamic equations without any reference to the physical systems. In this paper, the dynam�ics of a single-link manipulator is considered to observe the existence of interesting dynamical behaviors. When the considered dynamical system is excited with (a) periodically forced input or (b) quasi-periodically forced input, it indicates the existence of megastability. This paper reports megastability in a physical dynamical system with infinitely many equilibria. The considered system has other dynamical behaviors like chaotic, quasi-periodic and periodic. These behaviors are analyzed using Lyapunov spectrum, bifurcation diagram and phase plots. The simulation results reveal that the objectives of the paper are achieved successfully

Item Type: Article
Uncontrolled Keywords: Megastability; new chaotic system; line of equilibria; bifurcation; chaos.
Subjects: Engineering > MIT Manipal > Mechatronics
Depositing User: MIT Library
Date Deposited: 15 Jul 2021 08:49
Last Modified: 15 Jul 2021 08:49
URI: http://eprints.manipal.edu/id/eprint/156994

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