Differential equations and dynamical systems. Texts in applied mathematics; Bd. 7.

Perko, Lawrence:

ISBN 10: 3540974431 / ISBN 13: 9783540974437

Editore: New York, Springer, 1993

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XII, 403 S. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02093 3540974431 Sprache: Englisch Gewicht in Gramm: 1050.

Codice articolo 2487935

Dati bibliografici

• Titolo: Differential equations and dynamical systems. Texts in applied mathematics; Bd. 7.
• Editore: New York, Springer
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 3540974431
• ISBN 13: 9783540974437
• Rilegatura: Hardcover
• Edizione: corrected Second printing.
• Peso: 1050 grammi
• Cataloghi dei venditori:
  • SA MATHEMATIK

Descrizione articolo

Riassunto

This book contains a systematic study of autonomous systems of ordinary differential equations and dynamical systems. It begins with a thorough treatment of linear systems; however, the main topic of the book is local and global behaviour of nonlinear systems. The main purpose of the book is to introduce students to the qualitative and geometric theory of ordinary differential equations originated at the end of the 19th century. It is also intended as a reference book for mathematicians doing research on dynamical systems. There are several new features in this book such as the simplified proof of the HartmanGrobman Theorem and examples illustrating the proof, map in the theory of limit cycles, an efficient method for obtaining the global phase portrait of two-dimensional systems, and the description of the behaviour of a one-parameter family of limit cycles. Readers of this book will find that, except for certain topics of current mathematical research such as the number of limit cycles and the nature of attracting sets of dynamical systems, the global qualitative theory of a nonlinear dynamical system leads to an understanding of the solution set of the nonlinear system that rivals the understanding what we have of linear flows. This textbook on control/systems theory and ordinary differential equations is intended for mathematicians and physicists.