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[null,"1.","Record Nr.",null,"UNINA9910458099103321"]
[null,null,"Autore",null,"Field Mike"]
[null,null,"Titolo",null,"Dynamics and symmetry [[electronic resource] /] / Michael J. Field"]
[null,null,"Pubbl/distr/stampa",null,"London, : Imperial College Press"]
[{"$nulls":4},"Singapore ; ; Hackensack, NJ, : Distributed by World Scientific, c2007"]
[null,null,"ISBN",null,"1-281-86756-X"]
[{"$nulls":4},"9786611867560"]
[{"$nulls":4},"1-86094-854-5"]
[null,null,"Descrizione fisica",null,"1 online resource (492 p.)"]
[null,null,"Collana",null,"ICP advanced texts in mathematics, , 1753-657X ; ; v. 3"]
[null,null,"Disciplina",null,"515.35"]
[null,null,"Soggetti",null,"Topological dynamics"]
[{"$nulls":4},"Lie groups"]
[{"$nulls":4},"Hamiltonian systems"]
[{"$nulls":4},"Bifurcation theory"]
[{"$nulls":4},"Symmetry (Mathematics)"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. 457-466) and indexes."]
[null,null,"Nota di contenuto",null,"Contents; Preface; 1. Groups; 1.1 Definition of a group and examples; 1.2 Homomorphisms, subgroups and quotient groups; 1.2.1 Generators and relations for .nite groups; 1.3 Constructions; 1.4 Topological groups; 1.5 Lie groups; 1.5.1 The Lie bracket of vector fields; 1.5.2 The Lie algebra of G; 1.5.3 The exponential map of g; 1.5.4 Additional properties of brackets and exp; 1.5.5 Closed subgroups of a Lie group; 1.6 Haarmeasure; 2. Group Actions and Representations; 2.1 Introduction; 2.2 Groups and G-spaces; 2.2.1 Continuous actions and G-spaces; 2.3 Orbit spaces and actions"]
[{"$nulls":4},"2.4 Twisted products2.4.1 Induced G-spaces; 2.5 Isotropy type and stratification by isotropy type; 2.6 Representations; 2.6.1 Averaging over G; 2.7 Irreducible representations and the isotypic decomposition; 2.7.1 C-representations; 2.7.2 Absolutely irreducible representations; 2.8 Orbit structure for representations; 2.9 Slices; 2.9.1 Slices for linear finite group actions; 2.10 Invariant and equivariant maps; 2.10.1 Smooth invariant and equivariant maps on representations; 2.10.2 Equivariant vector fields and flows; 3. Smooth G-manifolds; 3.1 Proper G-manifolds; 3.1.1 Proper free actions"]
[{"$nulls":4},"3.2 G-vector bundles3.3 Infinitesimal theory; 3.4 Riemannianmanifolds; 3.4.1 Exponential map of a complete Riemannian manifold; 3.4.2 The tubular neighbourhood theorem; 3.4.3 Riemannian G-manifolds; 3.5 The differentiable slice theorem; 3.6 Equivariant isotopy extension theorem; 3.7 Orbit structure for G-manifolds; 3.7.1 Closed filtration of M by isotropy type; 3.8 The stratification of M by normal isotropy type; 3.9 Stratified sets; 3.9.1 Transversality to a Whitney stratification; 3.9.2 Regularity of stratification by normal isotropy type"]
[{"$nulls":4},"3.10 Invariant Riemannian metrics on a compact Lie group3.10.1 The adjoint representations; 3.10.2 The exponential map; 3.10.3 Closed subgroups of a Lie group; 4. Equivariant Bifurcation Theory: Steady State Bifurcation; 4.1 Introduction and preliminaries; 4.1.1 Normalized families; 4.2 Solution branches and the branching pattern; 4.2.1 Stability of branching patterns; 4.3 Symmetry breaking-theMISC; 4.3.1 Symmetry breaking isotropy types; 4.3.2 Maximal isotropy subgroup conjecture; 4.4 Determinacy; 4.4.1 Polynomial maps; 4.4.2 Finite determinacy; 4.5 The hyperoctahedral family"]
[{"$nulls":4},"4.5.1 The representations (Rk,Hk)4.5.2 Invariants and equivariants for Hk; 4.5.3 Cubic equivariants for Hk; 4.5.4 Bifurcation for cubic families; 4.5.5 Subgroups of Hk; 4.5.6 Some subgroups of the symmetric group; 4.5.7 A big family of counterexamples to the MISC; 4.5.8 Examples where P3G (Rk, Rk) = P3H k (Rk, Rk); 4.5.9 Stable solution branches of maximal index and trivial isotropy; 4.5.10 An example with applications to phase transitions; 4.6 Phase vector field and maps of hyperbolic type; 4.6.1 Cubic polynomial maps; 4.6.2 Phase vector field; 4.6.3 Normalized families"]
[{"$nulls":4},"4.6.4 Maps of hyperbolic type"]
[null,null,null,"Sommario/riassunto","This book contains the first systematic exposition of the global and local theory of dynamics equivariant with respect to a (compact) Lie group. Aside from general genericity and normal form theorems on equivariant bifurcation, it describes many general families of examples of equivariant bifurcation and includes a number of novel geometric techniques, in particular, equivariant transversality. This important book forms a theoretical basis of future work on equivariant reversible and Hamiltonian systems.  This book also provides a general and comprehensive introduction to codimension one equi"]
[null,"2.","Record Nr.",null,"UNIORUON00331357"]
[null,null,"Autore",null,"BALDANZA, Frank"]
[null,null,"Titolo",null,"Ivy Compton-Burnett / Frank Baldanza"]
[null,null,"Pubbl/distr/stampa",null,"New York, : Twayne, 1964"]
[null,null,"Descrizione fisica",null,"142 p. ; 21 cm."]
[null,null,"Disciplina",null,"823.914"]
[null,null,"Soggetti",null,"COMPTON-BURNETT IVY"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]