Integral invariant in nonconservative systems and its application in modern physics

zbMath0591.70024MaRDI QIDQ1075081

Chengqun Liu, Shi-yu Luo

Publication date: 1985

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

freedomstabilitynonconservative systemsRouth-Hurwitz criterioncritical parametersPoincaré-Cartan integral invariants3-folded symmetry spiral sector cyclotroncharacter of phase planeholonomic nonconservative mechanical system with n-folded ofnonlinear oscillation of particles

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) (n)-body problems (70F10) Free motions in linear vibration theory (70J30) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (2)

Poincaré-Cartan integral invariants of Birkhoffian systems ⋮ First integrals and integral invariants for variable mass nonholonomic system in noninertial reference frames

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