A parabolic Chaplygin pendulum and a Paul trap: nonintegrability, stability, and boundedness
DOI10.1134/S1560354719030067zbMath1435.37079OpenAlexW2948932908MaRDI QIDQ2284601
Alexey V. Borisov, Alexander A. Kilin, Ivan. S. Mamaev
Publication date: 15 January 2020
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1560354719030067
chaoslinear stabilitydampingintegrabilityfrictionnonintegrabilityPoincaré sectionseparatrix splittingHill's regionPaul trapbounded trajectorybifurcational diagramparabolic pendulumrotating paraboloid
Problems involving a system of particles with friction (70F40) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Kinematics of a particle (70B05)
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