Symmetries and related topics in differential and difference equations : Jairo Charris Seminar 2009, Symmetries of Differential and Difference Equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia / / David Blázquez-Sanz, Juan J. Morales-Ruiz, Jesús Rodríguez Lombardero, editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society; [Bogotá, Colombia] : , : Instituto de Matemáticas y sus Aplicaciones, , [2011]; ©2011
• Descrizione fisica: 1 online resource (178 p.)
• Disciplina: 515/.35
• Soggetto topico: Symmetry (Mathematics); Difference equations; Differential-algebraic equations
• Classificazione: 35A3034M1517B4535C0570A0537J0522F0535A3053A0439A13
• Persona (resp. second.): Charris CastañedaJairo A.; Blázquez-SanzDavid <1980->; Morales RuizJuan J <1953-> (Juan José); LombarderoJesús Rodríguez <1961->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Contents -- Jairo Charris, The mathematician, The seminar -- Preface -- A reduction method for higher order variational equations of Hamiltonian systems -- A survey on integration of parabolic equations by reducing them to the heat equation -- 1. Introduction -- 2. Reduction by transformation (1.2) -- 3. Applications of Theorem 2.1 -- 4. Reduction by general equivalence transformation -- References -- Weil jets, Lie correspondences and applications -- Introduction -- 1. Jets of submanifolds -- 2. Lie correspondences between jet spaces -- 3. Prolongations and correspondences. -- 4. Characteristics, singular vector fields and correspondences -- 5. Symmetries and Lie correspondences -- 6. Projections, transversality and the process of reduction by symmetries -- Acknowledgments -- References -- Some applications of summability: An illustrated survey -- The structure of time and inertial forces in Lagrangian mechanics -- Introduction -- 0. Notations and definitions -- 1. Structure of a second order differential equation relative to a metric -- 2. Newton-Lagrange mechanics of a free system -- 3. Constrained systems -- 4. The class of time and the calculus of variations -- 5. Time constraints -- 6. Modification caused by a time constraint in a free system -- 7. Linear constraints depending on time -- 8. Reference frames and inertial forces -- Acknowledgements. -- References -- Differential invariant algebras -- 1. Introduction. -- 2. Moving Frames and Differential Invariants. -- 3. Equivariant Moving Frames. -- 4. Recurrence. -- 5. Generating Invariants. -- 6. Differential Invariant Algebras of Pseudo-Groups. -- References -- The Stokes phenomenon for linear q-difference equations -- 1. Introduction -- 2. Some background -- 3. Some examples around the q-Euler equation -- References -- Finite Hamiltonian systems on phase space.
• Titolo autorizzato: Symmetries and related topics in differential and difference equations
• ISBN: 0-8218-8228-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910822706203321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics, ; 549 . 0271-4132