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The Symbolic Computation of Integrability Structures for Partial Differential Equations / / by Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo
| The Symbolic Computation of Integrability Structures for Partial Differential Equations / / by Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo |
| Autore | Krasil'shchik Joseph |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (272 pages) |
| Disciplina | 515.353 |
| Collana | Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria |
| Soggetto topico |
Difference equations
Functional equations Computer science—Mathematics Difference and Functional Equations Math Applications in Computer Science Symbolic and Algebraic Manipulation |
| ISBN | 3-319-71655-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Computational problems in the geometry of PDEs -- Old and new Reduce software for integrability of PDEs -- Internal coordinates and total derivatives -- Conservation laws and nonlocal variables -- Cosymmetries -- Symmetries -- The tangent covering -- Recursion operators for symmetries -- Variational symplectic structures -- Cotangent covering -- Variational Poisson structures -- Recursion operators for cosymmetries -- The Plebanski equation -- Discussion. |
| Record Nr. | UNINA-9910280950603321 |
Krasil'shchik Joseph
|
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symmetry and perturbation theory [[electronic resource] ] : proceedings of the International Conference SPT 2007, Otranto Italy, 2-9 June 2007 / / edited by Giuseppe Gaeta, Raffaele Vitolo, Sebastian Walcher
| Symmetry and perturbation theory [[electronic resource] ] : proceedings of the International Conference SPT 2007, Otranto Italy, 2-9 June 2007 / / edited by Giuseppe Gaeta, Raffaele Vitolo, Sebastian Walcher |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (xiii, 295 p. ) : ill |
| Disciplina | 539.725 |
| Altri autori (Persone) |
GaetaGiuseppe <1959->
VitoloRaffaele WalcherSebastian |
| Soggetto topico |
Symmetry (Physics)
Perturbation (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-92901-8
9786611929015 981-277-617-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Record Nr. | UNINA-9910451338603321 |
| Singapore, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symmetry and perturbation theory [[electronic resource] ] : proceedings of the International Conference SPT 2007, Otranto Italy, 2-9 June 2007 / / edited by Giuseppe Gaeta, Raffaele Vitolo, Sebastian Walcher
| Symmetry and perturbation theory [[electronic resource] ] : proceedings of the International Conference SPT 2007, Otranto Italy, 2-9 June 2007 / / edited by Giuseppe Gaeta, Raffaele Vitolo, Sebastian Walcher |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (xiii, 295 p. ) : ill |
| Disciplina | 539.725 |
| Altri autori (Persone) |
GaetaGiuseppe <1959->
VitoloRaffaele WalcherSebastian |
| Soggetto topico |
Symmetry (Physics)
Perturbation (Mathematics) |
| ISBN |
1-281-92901-8
9786611929015 981-277-617-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Record Nr. | UNINA-9910784986703321 |
| Singapore, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (xiii, 295 p. ) : ill |
| Disciplina | 539.725 |
| Altri autori (Persone) |
GaetaGiuseppe <1959->
VitoloRaffaele WalcherSebastian |
| Soggetto topico |
Symmetry (Physics)
Perturbation (Mathematics) |
| ISBN |
1-281-92901-8
9786611929015 981-277-617-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Altri titoli varianti | SPT 2007 |
| Record Nr. | UNINA-9910820389803321 |
| Singapore, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||