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Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations

  • Kartonierter Einband
  • 264 Seiten
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With a pedagogic format ideal for graduate students, this text includes a wealth of examples focusing on solutions in dynamical sy... Weiterlesen
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Beschreibung

With a pedagogic format ideal for graduate students, this text includes a wealth of examples focusing on solutions in dynamical systems theory that mirror those used in Lyapunov's first method, tackling ordinary differential equations expressed as series form.


The book is dedicated to the construction of particular solutions of systems of ordinary differential equations in the form of series that are analogous to those used in Lyapunov's first method. A prominent place is given to asymptotic solutions that tend to an equilibrium position, especially in the strongly nonlinear case, where the existence of such solutions can't be inferred on the basis of the first approximation alone. The book is illustrated with a large number of concrete examples of systems in which the presence of a particular solution of a certain class is related to special properties of the system's dynamic behavior. It is a book for students and specialists who work with dynamical systems in the fields of mechanics, mathematics, and theoretical physics.

Monograph by leading researchers in the theory of dynamical systems

Book can be used for a graduate course or seminar

Pedagogic approach, contains many examples



Inhalt

Preface.- Semi-quasihomogeneous systems of ordinary differential equations.- 2. The critical case of purely imaginary kernels.- 3. Singular problems.- 4. The inverse problem for the Lagrange theorem on the stability of equilibrium and other related problems.- Appendix A. Nonexponential asymptotic solutions of systems of functional-differential equations.- Appendix B. Arithmetic properties of the eigenvalues of the Kovalevsky matrix and conditions for the nonintegrability of semi-quasihomogeneous systems of ordinary di¤erential equations.- Bibliography.

Produktinformationen

Titel: Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
Übersetzer:
Autor:
EAN: 9783642432408
ISBN: 978-3-642-43240-8
Format: Kartonierter Einband
Herausgeber: Springer, Berlin
Genre: Mathematik
Anzahl Seiten: 264
Gewicht: 435g
Größe: H15mm x B235mm x T154mm
Jahr: 2015
Auflage: 2013

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