Dynamics through First-Order Differential Equations in the Configuration Space

DOI10.1007/978-3-031-27095-6zbMath1530.37002MaRDI QIDQ6164208

Valentín Ramírez, Rafael O. Ramírez, Jaume Llibre

Publication date: 30 June 2023

zbMATH Keywords

configuration spaceintegrabilityphase spacecelestial mechanicsdynamics of mechanical systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Dynamics of a rigid body and of multibody systems (70Exx) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of particles and systems (70-01) Hamiltonian and Lagrangian mechanics (70Hxx)

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