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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 70 | Mechanics of particles and systems | ||
| 70-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
| 70-01 | Instructional exposition (textbooks, tutorial papers, etc.) | ||
| 70-02 | Research exposition (monographs, survey articles) | ||
| 70-03 | Historical | ||
| 70-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 70-05 | Experimental work | ||
| 70-06 | Proceedings, conferences, collections, etc. | ||
| 70-08 | Computational methods | ||
| 70-99 | Mechanics of particles and systems (not classified at a more specific level) | ||
| 70A05 | Axiomatics, foundations | ||
| 70B | Kinematics [See also 53A17] | ||
| 70B05 | Kinematics of a particle | ||
| 70B10 | Kinematics of a rigid body | ||
| 70B15 | Mechanisms, robots [See also 68T40, 70Q05, 93C85] | ||
| 70B99 | None of the above, but in this section | ||
| 70C20 | Statics | ||
| 70E | Dynamics of a rigid body and of multibody systems | ||
| 70E05 | Motion of the gyroscope | ||
| 70E15 | Free motion of a rigid body [See also 70M20] | ||
| 70E17 | Motion of a rigid body with a fixed point | ||
| 70E18 | Motion of a rigid body in contact with a solid surface [See also 70F25] | ||
| 70E20 | Perturbation methods for rigid body dynamics | ||
| 70E40 | Integrable cases of motion | ||
| 70E45 | Higher-dimensional generalizations | ||
| 70E50 | Stability problems | ||
| 70E55 | Dynamics of multibody systems | ||
| 70E60 | Robot dynamics and control [See also 68T40, 70Q05, 93C85] | ||
| 70E99 | None of the above, but in this section | ||
| 70F | Dynamics of a system of particles, including celestial mechanics | ||
| 70F05 | Two-body problems | ||
| 70F07 | Three-body problems | ||
| 70F10 | $n$-body problems | ||
| 70F15 | Celestial mechanics | ||
| 70F16 | Collisions in celestial mechanics, regularization | ||
| 70F17 | Inverse problems | ||
| 70F20 | Holonomic systems | ||
| 70F25 | Nonholonomic systems | ||
| 70F35 | Collision of rigid or pseudo-rigid bodies | ||
| 70F40 | Problems with friction | ||
| 70F45 | Infinite particle systems | ||
| 70F99 | None of the above, but in this section | ||
| 70G | General models, approaches, and methods [See also 37-XX] | ||
| 70G10 | Generalized coordinates; event, impulse-energy, configuration, state, or phase space | ||
| 70G40 | Topological and differential-topological methods | ||
| 70G45 | Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) [See also 53Cxx, 53Dxx, 58Axx] | ||
| 70G55 | Algebraic geometry methods | ||
| 70G60 | Dynamical systems methods | ||
| 70G65 | Symmetries, Lie-group and Lie-algebra methods | ||
| 70G70 | Functional-analytic methods | ||
| 70G75 | Variational methods | ||
| 70G99 | None of the above, but in this section | ||
| 70H | Hamiltonian and Lagrangian mechanics [See also 37Jxx] | ||
| 70H03 | Lagrange's equations | ||
| 70H05 | Hamilton's equations | ||
| 70H06 | Completely integrable systems and methods of integration | ||
| 70H07 | Nonintegrable systems | ||
| 70H08 | Nearly integrable Hamiltonian systems, KAM theory | ||
| 70H09 | Perturbation theories | ||
| 70H11 | Adiabatic invariants | ||
| 70H12 | Periodic and almost periodic solutions | ||
| 70H14 | Stability problems | ||
| 70H15 | Canonical and symplectic transformations | ||
| 70H20 | Hamilton-Jacobi equations | ||
| 70H25 | Hamilton's principle | ||
| 70H30 | Other variational principles | ||
| 70H33 | Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction | ||
| 70H40 | Relativistic dynamics | ||
| 70H45 | Constrained dynamics, Dirac's theory of constraints [See also 70F20, 70F25, 70Gxx] | ||
| 70H50 | Higher-order theories | ||
| 70H99 | None of the above, but in this section | ||
| 70J | Linear vibration theory | ||
| 70J10 | Modal analysis | ||
| 70J25 | Stability | ||
| 70J30 | Free motions | ||
| 70J35 | Forced motions | ||
| 70J40 | Parametric resonances | ||
| 70J50 | Systems arising from the discretization of structural vibration problems | ||
| 70J99 | None of the above, but in this section | ||
| 70K | Nonlinear dynamics [See also 34Cxx, 37-XX] | ||
| 70K05 | Phase plane analysis, limit cycles | ||
| 70K20 | Stability | ||
| 70K25 | Free motions | ||
| 70K28 | Parametric resonances | ||
| 70K30 | Nonlinear resonances | ||
| 70K40 | Forced motions | ||
| 70K42 | Equilibria and periodic trajectories | ||
| 70K43 | Quasi-periodic motions and invariant tori | ||
| 70K44 | Homoclinic and heteroclinic trajectories | ||
| 70K45 | Normal forms | ||
| 70K50 | Bifurcations and instability | ||
| 70K55 | Transition to stochasticity (chaotic behavior) [See also 37D45] | ||
| 70K60 | General perturbation schemes | ||
| 70K65 | Averaging of perturbations | ||
| 70K70 | Systems with slow and fast motions | ||
| 70K75 | Nonlinear modes | ||
| 70K99 | None of the above, but in this section | ||
| 70L05 | Random vibrations [See also 74H50] | ||
| 70M20 | Orbital mechanics | ||
| 70P05 | Variable mass, rockets | ||
| 70Q05 | Control of mechanical systems [See also 49-XX, 93Cxx, 93Dxx] | ||
| 70S | Classical field theories [See also 37Kxx, 37Lxx, 78-XX, 81Txx, 83-XX] | ||
| 70S05 | Lagrangian formalism and Hamiltonian formalism | ||
| 70S10 | Symmetries and conservation laws | ||
| 70S15 | Yang-Mills and other gauge theories | ||
| 70S20 | More general nonquantum field theories | ||
| 70S99 | None of the above, but in this section | ||
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