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

DOI10.1142/S0218127421300056zbMath1469.34068OpenAlexW3133584570MaRDI QIDQ5854867

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

Publication date: 12 March 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421300056

zbMATH Keywords

chaosbifurcationnew chaotic systemline of equilibriamegastability

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Kinematics of mechanisms and robots (70B15) Stability of solutions to ordinary differential equations (34D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Bifurcation control of ordinary differential equations (34H20)

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Cites Work

• Control of multistability
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• Multistability and hidden attractors in a multilevel DC/DC converter
• Hyperchaotic memcapacitor oscillator with infinite equilibria and coexisting attractors
• A Modified Multistable Chaotic Oscillator
• Strict Lyapunov Functions for the Super-Twisting Algorithm
• Coexistence of Multiple Attractors in a New Chaotic System

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