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Differential equations and dynamical systems / Lawrence Perko

Public ISBD Titre : Differential equations and dynamical systems Type de document : texte imprimé Auteurs : Lawrence Perko, Auteur Mention d'édition : 3 éd Editeur : Berlin : Springer-Verlag Année de publication : 2001 Collection : Texts in applied mathematics num. 7 Importance : XIV-555 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-387-95116-4 Note générale : With 241 ill. Index Langues : Anglais (eng) Mots-clés : Dynamique  différentiable Équations  différentielles  non  linéaires Équations  différentielles Systèmes  dynamiques Index. décimale : 517.911 Questions générales. Théorèmes d'existence. Théorèmes d'unicité. Différentiabilité des solutions Résumé : This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations. Note de contenu : - Linear systems Uncoupled linaer systems Diagonaliztion Exponentials of operators ... - Nonlinear systems: Local theory Some preliminary concepts and definitions The fundamental existence-Uniqueness theorem Dependence on initial conditions and parametres ... - Nonlinear systems: global theory Dynamical systems and global existence theorems Limit sets and attractors perodic oribts, limit cycles and separatrix cycles ... - Nonlinear systems: bifurcation theory Structural stability and peixoto's theorem Bifurcations at nonhyperbolic Higher codimension bifurcations et nonhyperbolic equilibrium points ... Differential equations and dynamical systems [texte imprimé] / Lawrence Perko, Auteur  . -  3 éd . - Springer-Verlag, 2001 . - XIV-555 p. : ill. ; 25 cm. - (Texts in applied mathematics; 7) . ISBN : 978-0-387-95116-4 With 241 ill. Index Langues : Anglais (eng) Mots-clés : Dynamique  différentiable Équations  différentielles  non  linéaires Équations  différentielles Systèmes  dynamiques Index. décimale : 517.911 Questions générales. Théorèmes d'existence. Théorèmes d'unicité. Différentiabilité des solutions Résumé : This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations. Note de contenu : - Linear systems Uncoupled linaer systems Diagonaliztion Exponentials of operators ... - Nonlinear systems: Local theory Some preliminary concepts and definitions The fundamental existence-Uniqueness theorem Dependence on initial conditions and parametres ... - Nonlinear systems: global theory Dynamical systems and global existence theorems Limit sets and attractors perodic oribts, limit cycles and separatrix cycles ... - Nonlinear systems: bifurcation theory Structural stability and peixoto's theorem Bifurcations at nonhyperbolic Higher codimension bifurcations et nonhyperbolic equilibrium points ...

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
046776	517.911 PER	Papier	Bibliothèque Centrale	Mathématiques	Disponible