Multistability, scattering and selection of equilibria in the mechanical system with constraint

• Published in: Communications in nonlinear science & numerical simulation Vol. 95; p. 105602
• Main Authors: Govorukhin, V.N., Tsybulin, V.G.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.04.2021; Elsevier Science Ltd
• Subjects: Chaos; Chaos theory; Cosymmetry; Damping; Differential equations; Energy; Family of equilibra; Friction; Linear damping; Mechanical properties; Mechanical systems; Memory effects; Multistability; Nonlinear equations; Nonlinear phenomena; Scattering; Simulation; Chaos; Multistability; Family of equilibra; Memory effects; Cosymmetry; Scattering

•A mechanical system with constraint defined by a surface in the space is studied analytically and numerically.•This system demonstrates strong multistability due to a one-parameter family of stable steady states.•The realization of equilibria under linear damping strongly depends on the initial sta...