Obtuse triangular billiards. I: Near the triangle.
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Schwartz, Richard Evan (2006)
Experimental Mathematics
Anton Dekrét (1999)
Archivum Mathematicum
Two symplectic structures on a manifold determine a (1,1)-tensor field on . In this paper we study some properties of this field. Conversely, if is (1,1)-tensor field on a symplectic manifold then using the natural lift theory we find conditions under which , is symplectic.
Bonetto, Federico, Gentile, Guido (1999)
Mathematical Physics Electronic Journal [electronic only]
Anton Dekrét (1977)
Mathematica Slovaca
Sakovich, Sergei (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Emmanuel Ferrand (1997)
Banach Center Publications
A proof of the Chekanov theorem is discussed from a geometric point of view. Similar results in the context of projectivized cotangent bundles are proved. Some applications are given.
Gabriel P. Paternain, Miguel Paternain (1994)
Mathematische Zeitschrift
Kaoru Ono (1998)
Banach Center Publications
Kokshenev, Valery B. (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Marcin Moszyński (1995)
Annales de l'I.H.P. Physique théorique
Komarov, Igor V., Tsiganov, Andrey V. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Giorgilli, Antonio, Locatelli, Ugo (1997)
Mathematical Physics Electronic Journal [electronic only]
Leites, D. (2004)
Journal of Mathematical Sciences (New York)
Aldo Bressan (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
See Summary in Note I. First, on the basis of some results in [2] or [5]-such as Lemmas 8.1 and 10.1-the general (mathematical) theorems on controllizability proved in Note I are quickly applied to (mechanic) Lagrangian systems. Second, in case , and satisfy conditions (11.7) when is a polynomial in , conditions (C)-i.e. (11.8) and (11.7) with -are proved to be necessary for treating satisfactorily 's hyper-impulsive motions (in which positions can suffer first order discontinuities)....
Aldo Bressan (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
In [1] I and II various equivalence theorems are proved; e.g. an ODE with a scalar control is linear w.r.t. iff its solution with given initial conditions (chosen arbitrarily) is continuous w.r.t. in a certain sense, or iff
Schmitt, Klaus, Wang, Zhi-Qiang (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Larry M. Bates, James M. Nester (2011)
Communications in Mathematics
A formulation of the D’Alembert principle as the orthogonal projection of the acceleration onto an affine plane determined by nonlinear nonholonomic constraints is given. Consequences of this formulation for the equations of motion are discussed in the context of several examples, together with the attendant singular reduction theory.
Dinariev, O.Yu. (2003)
Sibirskij Matematicheskij Zhurnal
Jürgen Pöschel (1989)
Mathematische Zeitschrift
Egilsson, Agust Sverrir (1995)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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