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Modern developments in analytical mechanics. Volume II: Analytical dynamics and applications. Proceedings of the IUTAM-ISIMM Symposium on Modern Developments in Analytical Mechanics, Torino (Italy), June 7-11, 1982. (English. French summary) Zbl 0651.70003

Acta Academiae Scientiarum Taurinensis. Supplemento al numero 117 (1983) degli ‘Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali’. Torino: Accademia delle Scienze di Torino. pp. 463-860 (1983).
Contents: T. M. Atanaković, The sufficient conditions for an extremum in the variational principle with non-commutative variational rules (463–468), P. Capodanno, On the analytical dynamics of profiles (469–480), Dj. S. Djukić and T. M. Atanaković, Extremum variational principles in classical mechanics (481-506).
M. Henneaux, Représentation lagrangienne d’un système d’équations newtoniennes (507–510), E. G. Kalnins and W. Miller jun., Intrinsic characterization of variable separation for the partial differential equations of mechanics (511–534), M. P. Kharlamov and P. V. Kharlamov, To solve a problem of rigid body dynamics. What does it mean (535–562), E. A. Lacomba and J. Bryant, Contact structures for total collision and zero energy infinity manifolds in celestial mechanics (563–568), M. Langlois, Proprietés géométriques de équations d’Euler-Poinsot du corps solide à point fixe (569–574), P. G. L. Leach, First integrals for non-autonomous Hamiltonian systems (575–580), H. R. Lewis, Exact invariants for time-dependent Hamiltonian systems (581–592), L. Losco, Variational properties of contact systems (593–598), F. Magri and C. Morosi, On the reduction theory of the Nijenhuis operators and its applications of Gel’fand-Dikii equations (599–626).
Mei Fei Xiang, On the Nielsen’s operator and the Euler’s operator for non-holonomic systems (627–634), S. P. Novikov, Multivalued functionals in modern mathematical physics (635–644), A. Pignedoli, On some investigations of the Italian school about holonomic and non-holonomic systems (645–670), Y. Pironneau, Sur les liaisons non holonomes non linéaires, déplacements virtuels à travail nul, conditions de Chetaev (671–686), G. Prince, Toward a classification on dynamical symmetries in Larangian systems (687–692), V. N. Roubanovsky, Sur la bifurcation et la stabilité des équilibres relatifs du gyrostate dans le problème circulaire restreint généralisé de trois corps (693–696), V. V. Rumyantsev, On some problems of analytical dynamics of nonholonomic systems (697–716).
L. Salvadori, Methods of qualitative analysis in bifurcation problems (717–736), W. Sarlet, Noether’s theorem and the inverse problem of Lagrangian mechanics (737–752), W. O. Schiehlen and D. Schramm, Application of analytical mechanics to systems with Coulomb’s friction (753–758), H.-D. Schräpel, Equivalent linearization of canonical systems (759-764), L. I. Sedov, Applying the basic variational equation for building models of matter and fields (765–816).
A. S. Sumbatov, On hidden ignorable coordinates of conservative holonomic systems with three degrees of freedom (817–820), T. Sutela, On a method of integration of the Hamilton nonconservative equations of motion (821–824), R. Vieira Martins, An index defined by focal points for periodic Hamiltonian systems (825–834), J. Wittenburg, Analytical methods in the dynamics of multi-body systems (834–860).
The articles of this volume will not be indexed individually.

MSC:

70-06 Proceedings, conferences, collections, etc. pertaining to mechanics of particles and systems
58-06 Proceedings, conferences, collections, etc. pertaining to global analysis
00B25 Proceedings of conferences of miscellaneous specific interest
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)

Citations:

Zbl 0559.00013