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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Averaging for Nonlinear Dynamics with Applications and Numerical Bifurcations
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Averaging for Nonlinear Dynamics with Applications and Numerical Bifurcations
Ferdinand Verhulst (Gebundene Ausgabe, Englisch)
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Beschreibung
This book presents a comprehensive and practical survey of averaging methods for differential equations. Combining rigorous theory with applied perspectives, this book serves as both a study text and a reference for mathematicians and scientists in fields such as engineering, physics, and biology. Divided into two complementary parts, the book begins with Part I , the Toolbox of Averaging… Theorems, providing clear definitions, theorem formulations, and foundational results. While mathematicians may be content with existence proofs and qualitative analyses, applied scientists require tools that link theory to real-world problems—an essential motivation for Part II . Part II explores applications in physics and engineering, blending theory with practice and incorporating numerical bifurcation analysis using tools such as AUTO , Mathematica , and MatCont . Interspersed theoretical interludes provide the background necessary for understanding and applying these methods. Highlights include: Hamiltonian systems (Ch. 9), examining resonance phenomena in physics and engineering. Fermi-Pasta-Ulam chains (Ch. 10), extending fundamental theory. Parametric excitation (Ch. 11) and dissipation-induced instability (Ch. 13), showcasing classical but lesser-known engineering results. Coupled oscillators and chaos (Ch. 12), a detailed exploration of complex nonlinear dynamics. Diffusion and waves (Ch. 14), providing essential guidance while pointing to broader material for further study. Whether as a reference, teaching aid, or bridge between theory and application, Averaging for Nonlinear Dynamics equips readers with the tools to analyze, approximate, and apply nonlinear systems across a wide range of scientific disciplines. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
08.02.2026
Sprache
Englisch
EAN
9783032127440
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Applied Mathematical Sciences
Sonderedition
Nein
Autor
Ferdinand Verhulst
Seitenanzahl
276
Einbandart
Gebundene Ausgabe
Buch Untertitel
Parametric and autoparametric systems, Hamiltonian systems, FPU systems, coupled oscillators and chaos
Schlagwörter
nonlinear dynamics, averaging, differential equations, Hamiltonian systems, parametric excitation, stability, chaos, diffusions and waves
Thema-Inhalt
GPFC - Kybernetik und Systemtheorie
PBKS - Numerische Mathematik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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