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Beschreibung
Several distinctive aspects make Dynamical Systems unique, including:
treating the subject from a mathematical perspective with the proofs of most of the results included
providing a careful review of background materials
introducing ideas through examples and at a level accessible to a beginning graduate student
focusing on multidimensional systems of real variables
The book treats the dynamics of both iteration of functions and solutions of ordinary differential equations. Many concepts are first introduced for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. The dynamical systems approach of the book concentrates on properties of the whole system or subsets of the system rather than individual solutions. The more local theory discussed deals with characterizing types of solutions under various hypothesis, and later chapters address more global aspects.
treating the subject from a mathematical perspective with the proofs of most of the results included
providing a careful review of background materials
introducing ideas through examples and at a level accessible to a beginning graduate student
focusing on multidimensional systems of real variables
The book treats the dynamics of both iteration of functions and solutions of ordinary differential equations. Many concepts are first introduced for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. The dynamical systems approach of the book concentrates on properties of the whole system or subsets of the system rather than individual solutions. The more local theory discussed deals with characterizing types of solutions under various hypothesis, and later chapters address more global aspects.
Several distinctive aspects make Dynamical Systems unique, including:
treating the subject from a mathematical perspective with the proofs of most of the results included
providing a careful review of background materials
introducing ideas through examples and at a level accessible to a beginning graduate student
focusing on multidimensional systems of real variables
The book treats the dynamics of both iteration of functions and solutions of ordinary differential equations. Many concepts are first introduced for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. The dynamical systems approach of the book concentrates on properties of the whole system or subsets of the system rather than individual solutions. The more local theory discussed deals with characterizing types of solutions under various hypothesis, and later chapters address more global aspects.
treating the subject from a mathematical perspective with the proofs of most of the results included
providing a careful review of background materials
introducing ideas through examples and at a level accessible to a beginning graduate student
focusing on multidimensional systems of real variables
The book treats the dynamics of both iteration of functions and solutions of ordinary differential equations. Many concepts are first introduced for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. The dynamical systems approach of the book concentrates on properties of the whole system or subsets of the system rather than individual solutions. The more local theory discussed deals with characterizing types of solutions under various hypothesis, and later chapters address more global aspects.
Über den Autor
Clark Robinson
Inhaltsverzeichnis
IntroductionOne Dimensional Dynamics by IterationChaos and Its MeasurementLinear SystemsAnalysis near Fixed Points and Periodic OrbitsHamiltonian SystemsBifurcation of Periodic PointsExamples of Hyperbolic Sets and AttractorsMeasurement of Chaos in Higher DimensionsGlobal Theory of Hyperbolic SystemsGeneric PropertiesSmoothness of Stable Manifolds and Applications
Details
Erscheinungsjahr: | 1998 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Inhalt: | Einband - fest (Hardcover) |
ISBN-13: | 9780849384950 |
ISBN-10: | 0849384958 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC gerader Rücken kaschiert |
Einband: | Gebunden |
Autor: | Robinson, Clark |
Auflage: | Revised |
Hersteller: | CRC Press |
Maße: | 260 x 183 x 33 mm |
Von/Mit: | Clark Robinson |
Erscheinungsdatum: | 17.11.1998 |
Gewicht: | 1,175 kg |
Über den Autor
Clark Robinson
Inhaltsverzeichnis
IntroductionOne Dimensional Dynamics by IterationChaos and Its MeasurementLinear SystemsAnalysis near Fixed Points and Periodic OrbitsHamiltonian SystemsBifurcation of Periodic PointsExamples of Hyperbolic Sets and AttractorsMeasurement of Chaos in Higher DimensionsGlobal Theory of Hyperbolic SystemsGeneric PropertiesSmoothness of Stable Manifolds and Applications
Details
Erscheinungsjahr: | 1998 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Inhalt: | Einband - fest (Hardcover) |
ISBN-13: | 9780849384950 |
ISBN-10: | 0849384958 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC gerader Rücken kaschiert |
Einband: | Gebunden |
Autor: | Robinson, Clark |
Auflage: | Revised |
Hersteller: | CRC Press |
Maße: | 260 x 183 x 33 mm |
Von/Mit: | Clark Robinson |
Erscheinungsdatum: | 17.11.1998 |
Gewicht: | 1,175 kg |
Warnhinweis