Symmetry and perturbation theory : proceedings of the International Conference SPT 2007, Otranto Italy, 2-9 June 2007 / edited by Giuseppe Gaeta, Raffaele Vitolo, Sebastian Walcher.

Format:

Book

Conference/Event

Author/Creator:

International Conference on Symmetry and Perturbation Theory, Corporate Author.

Contributor:

Gaeta, Giuseppe, 1959-

Vitolo, Raffaele.

Walcher, Sebastian.

Conference Name:

International Conference on Symmetry and Perturbation Theory (2007 : Otranto, Italy)

International Conference on Symmetry and Perturbation Theory

Language:

English

Subjects (All):

Symmetry (Physics)--Congresses.

Symmetry (Physics).

Perturbation (Mathematics)--Congresses.

Perturbation (Mathematics).

Physical Description:

1 online resource (xiii, 295 p. ) ill.

Edition:

1st ed.

Other Title:

SPT 2007

Place of Publication:

Singapore : World Scientific, c2007.

Language Note:

English

Summary:

"This proceedings volume is devoted to the interplay of symmetry and perturbation theory, as well as to cognate fields such as integrable systems, normal forms, n-body dynamics and choreographies, geometry and symmetry of differential equations, and finite and infinite dimensional dynamical systems. The papers collected here provide an up-to-date overview of the research in the field, and have many leading scientists in the field among their authors, including: D Alekseevsky, S Benenti, H Broer, A Degasperis, M E Fels, T Gramchev, H Hanssmann, J Krashil'shchik, B Kruglikov, D Krupka, O Krupkova, S Lombardo, P Morando, O Morozov, N N Nekhoroshev, F Oliveri, P J Olver, J A Sanders, M A Teixeira, S Terracini, F Verhulst, P Winternitz, B Zhilinskii."

Contents:

Homogeneous bi-lagrangian manifolds and invariant Monge-Ampere equations / D. Alekseevsky & A. Spiro

On Darboux integrability / I.M. Anderson, M.E. Fels & P.J. Vassiliou

Integrable systems in symplectic geometry / E. Asadi & J.A. Sanders

Sangularitaes and collisions in N-body type problems / V. Barutello & S. Terracini

Computing curvature without Christoffel symbols / S. Benenti

Survey of strong nomnal-internal k : ℓ resonances in quasi-periodically driven oscillators for l = 1,2,3 / H. Broer, R. van Dijk & R. Vitolo

Quasi-periodic attractors and spin-orbit resonances / A. Celletti & L. Chierchia

Darboux construction of solutions of integrable PDEs with nonvanishing boundary values / A. Degasperis & S. Lombardo

Transitive decomposition of n-body symmetry groups / D. Ferrario

Normal forms for commuting vector fields near a common fixed point / T. Gramchev & M. Yoshino

A monkey saddle in rigid body dynamics / H. Hanssmann

Nonlocal geometry of PDEs and integrability / J. Krashil'shchik

Anomaly of linearization and auxiliary integrals / B. Kruglikov

Natural variational principles / D. Krupka

Variational exterior differential systems / O. Krupkova

On the relation between formal groups, Appell polynomials and hyperfunctions / S. Marmi & P. Tempesta

Variational [symbol]- symmetries and deformed Lie derivatives / P. Morando

Maurer-Cartan forms for symmetry pseudo-groups and coverings of differential equations / O.I. Morozov

Fuzzy fractional monodromy / N.N. Nekhoroshev

On the correspondence between differential equations and symmetry algebras / F. Oliveri, G. Manno & R. Vitolo

Moving frames and differential invariants for Lie pseudo-groups / P.J. Olver & J. Pohjanpelto

Periodic solutions for a class of non-linear Schroedinger equations in D > 1 spatial dimensions / M. Procesi

Singular perturbation for discontinuous ordinary differential equations / M.A. Teixeira & P.R. Da Silva

Continuation of periodic solutions in conservative and reversible systems / A. Vanderbauwhede

Emergence of slow manifolds in nonlinear wave equations / F. Verhulst

Superintegrable systems with spin in two- and three-dimensional euclidean spaces / P. Winternitz & İ. Yurduşen

Generalization of Hamiltonian monodromy. Quantum manifestations / B. Zhilinskii

Internal flow through a conducting thin duct via symmetry analysis / M.B. Abd-el-Malek & H.S. Hassan

Contact geometry of parabolic Monge-Ampère equations / R. Alonso Blanco, G. Manno & F. Pugliese

Complete symmetry groups and Lie remarkability / K. Andriopoulos

Quantum wave equations in curved space-time wave mechanics / M. Arminjon

Nonlocal interpretation of [symbol]-symmetries / D. Catalano Ferraioli

R-separation for the conformal Laplacian / C. Chanu, M. Chanachowicz & R.G. McLenaghan

Asymptotic behavior of a bouncing ball / A.M. Cherubini, G. Metafune & F. Paparella

Discontinuous solutions for the Degasperis-Procesi equation / G.M. Coclite & K.H. Karlsen

Variational Poisson-Nijenhuis structures for evolution PDEs / V. Golovko

Analytic approximations of geometric maps and applications to KAM theory / A. Gonzalez-Enríquez & R. de la Llave

A method to construct asymptotic solutions invariant under the renormalization group / M. Iwasa

Utiyama's reduction method and infinitesimal symmetries of invariant Lagrangians / J. Janyška

Stability of the tethered satellite system relative equilibria. Unrestricted problem / I.I. Kosenko & S.Ya. Stepanov

Globally minimizing parabolic motions in the Newtonian N-body problem / E. Maderna & A. Venturelli

Geodesically equivalent flat bi-cofactor systems / K. Marciniak

Symmetry group and symplectic structure for exotic particles in the plane / L. Martina

Some properties of the dynamics of two interacting particles in a uniform magnetic field / D. Pinheiro & R.S. Mackay

On the dihedral n-body problem / A. Portaluri

Lax representation for integrable O∆Es / O. Rojas, P. van der Kamp & G.R.W. Quispel

Pseudorotational spectra of molecules and isoparametric geometry / A.R. Rutherford

Darboux integrable hyperbolic PDE in the plane of generic type: a classification by means of Cartan tensor and Maple / F. Strazzullo

Towards global classifications: a diophantine approach / P. van der Kamp

The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms / R. Vitolo, H. Broer & C. Simó

Relative invariants for Lie algebras: construction and applications / I. Yehorchenko.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references.

ISBN:

9786611929015

9781281929013

1281929018

9789812776174

9812776176

OCLC:

879024772