Dynamics of a smooth profile in a medium with friction in the presence of parametric excitation

DOI10.1134/S1560354718040081zbMath1411.70027OpenAlexW2887506173WikidataQ129477897 ScholiaQ129477897MaRDI QIDQ1739528

Alexey V. Borisov, Eugeny V. Vetchanin, Ivan. S. Mamaev

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/s1560354718040081

zbMATH Keywords

viscous dissipationcirculationPoincaré mapstrange attractorNeimark-Sacker bifurcationperiod-doubling bifurcationanisotropic dissipationchart of Lyapunov exponentsKAM curveschart of dynamical regimesFermi-like acceleration

Mathematics Subject Classification ID

Dynamics of a rigid body and of multibody systems (70Exx) Nearly integrable Hamiltonian systems, KAM theory (70H08) Incompressible inviscid fluids (76Bxx) Incompressible viscous fluids (76Dxx)

Related Items (10)

Asymptotic behavior in the dynamics of a smooth body in an ideal fluid ⋮ Vibrational Stability of Periodic Solutions of the Liouville Equations ⋮ Chaplygin top with a periodic gyrostatic moment ⋮ Dynamics of a spherical robot with variable moments of inertia and a displaced center of mass ⋮ Self-propulsion of a smooth body in a viscous fluid under periodic oscillations of a rotor and circulation ⋮ The self-propulsion of a foil with a sharp edge in a viscous fluid under the action of a periodically oscillating rotor ⋮ Motion of a smooth foil in a fluid under the action of external periodic forces. I. ⋮ Motion of a smooth foil in a fluid under the action of external periodic forces. II ⋮ The Motion of a Balanced Circular Cylinder in an Ideal Fluid Under the Action of External Periodic Force and Torque ⋮ Dynamics of a Body with a Sharp Edge in a Viscous Fluid

Cites Work

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• Spherical robot of combined type: dynamics and control
• Realizing nonholonomic dynamics as limit of friction forces
• The self-propulsion of a body with moving internal masses in a viscous fluid
• Plate falling in a fluid: regular and chaotic dynamics of finite-dimensional models
• Controlled motion of a rigid body with internal mechanisms in an ideal incompressible fluid
• Asymptotic stability and associated problems of dynamics of falling rigid body
• On the problem of fall of a rigid body in a resisting medium
• On realizing nonholonomic constraints by viscous friction forces and Celtic stones stability
• On the realization of constraints in nonholonomic mechanics
• Motion of a body with undeformable shell and variable mass geometry in an unbounded perfect fluid
• Dynamics of two point vortices in an external compressible shear flow
• The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration
• Self-propulsion of a body with rigid surface and variable coefficient of lift in a perfect fluid
• New effects in dynamics of rattlebacks
• Influence of vortex structures on the controlled motion of an above-water screwless robot
• Control of body motion in an ideal fluid using the internal mass and the rotor in the presence of circulation around the body
• The hydrodynamic Chaplygin sleigh
• Solving Ordinary Differential Equations I
• Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing
• Introduction to the Perturbation Theory of Hamiltonian Systems
• On the motion of a heavy rigid body in an ideal fluid with circulation
• Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics
• Experimental investigation of the fall of helical bodies in a fluid
• Fermi-like acceleration and power-law energy growth in nonholonomic systems
• On the Origin of the Cosmic Radiation

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