Pendulum systems with dynamical symmetry

DOI10.1007/S10958-017-3597-8zbMath1405.70005OpenAlexW2765872302MaRDI QIDQ1687988

M. V. Shamolin, V. A. Samsonov, B. Ya. Lokshin

Publication date: 4 January 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3597-8

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) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05) Motion of a rigid body with a fixed point (70E17)

Related Items (6)

Families of portraits of some pendulum-like systems in dynamics ⋮ Motion of a rigid body with frontal cone in a resistive medium: qualitative analysis and integrability ⋮ Autooscillations of a multlink aerodynamic pendulum ⋮ Limit cycles in the dynamics of an elastically mounted aerodynamic pendulum ⋮ Dynamics of aerodynamic pendulum with elasticly fixed suspension point ⋮ Examples of integrable systems with dissipation on the tangent bundles of multidimensional spheres

Cites Work

• Numerical-analytical study of aerodynamic pendulum behavior
• Classes of variable dissipation systems with nonzero mean in the dynamics of a rigid body
• The self-induced rotational and oscillatory motions of an aerodynamic pendulum
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