Comparing dynamics initiated by an attached oscillating particle for the nonholonomic model of a Chaplygin sleigh and for a model with strong transverse and weak longitudinal viscous friction applied at a fixed point on the body

DOI10.1134/S1560354718070018zbMath1412.37065OpenAlexW2911984732WikidataQ128427420 ScholiaQ128427420MaRDI QIDQ1739565

Sergey P. Kuznetsov, Alexey V. Borisov

Publication date: 26 April 2019

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354718070018

zbMATH Keywords

chaotic dynamicsfrictionLyapunov exponentsstrange attractorChaplygin sleighfish-like robotparametric oscillator

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Stability problems in rigid body dynamics (70E50) Nonholonomic dynamical systems (37J60)

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Cites Work

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• Realizing nonholonomic dynamics as limit of friction forces
• Plate falling in a fluid: regular and chaotic dynamics of finite-dimensional models
• On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original
• On the problem of fall of a rigid body in a resisting medium
• Strange attractors
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• On realizing nonholonomic constraints by viscous friction forces and Celtic stones stability
• On the realization of constraints in nonholonomic mechanics
• Regular and chaotic dynamics.
• The problem of realizing constraints in dynamics
• The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration
• Sinusoidal control and limit cycle analysis of the dissipative Chaplygin sleigh
• Regular and chaotic dynamics of a Chaplygin sleigh due to periodic switch of the nonholonomic constraint
• Dynamical phenomena occurring due to phase volume compression in nonholonomic model of the rattleback
• Regular and chaotic motions of a Chaplygin sleigh under periodic pulsed torque impacts
• Experimental investigations of the controlled motion of a screwless underwater robot
• STOCHASTIC INSTABILITY OF NON-LINEAR OSCILLATIONS
• Nonlinear and Parametric Phenomena
• Der Schlitten
• Handbook of Chaos Control
• On the possibility of realizing a nonholonomic constraint by means of viscous friction forces
• Analysis of transitions between fluttering, tumbling and steady descent of falling cards
• On the Origin of the Cosmic Radiation

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