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

Jay Prakash Singh, Jit Koley, Kshetrimayum Lochan, Binoy Krishna Roy

Research output: Contribution to journalArticlepeer-review

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 dynamics 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.

Original languageEnglish
Article number2130005
JournalInternational Journal of Bifurcation and Chaos
Volume31
Issue number2
DOIs
Publication statusPublished - 02-2021

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

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