Buch, Englisch, 524 Seiten, Format (B × H): 183 mm x 260 mm, Gewicht: 1173 g
Stability, Symbolic Dynamics, and Chaos
Buch, Englisch, 524 Seiten, Format (B × H): 183 mm x 260 mm, Gewicht: 1173 g
Reihe: Studies in Advanced Mathematics
ISBN: 978-0-8493-8495-0
Verlag: CRC Press
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.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
Weitere Infos & Material
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
