Nonlinear Dynamics - Kahn, Peter B. / Zarmi, Yair
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This text concentrates on constructing an exposition of the method of normal forms, a mathematical tool which allows one to simplify as much as possible a complex dynamic system and then study the system and its application to ordinary differential equations through perturbation analysis. Many examples are provided as is an introduction to symbolic computing.
The Text: Its Scope, Style, and Content.
Basic Concepts.
Naive Perturbation Theory (NPT).
Formalism of Perturbation Expansion.
Problems with Eigenvalues That Have Negative Real Part.
Normal Form Expansion for…mehr

Produktbeschreibung
This text concentrates on constructing an exposition of the method of normal forms, a mathematical tool which allows one to simplify as much as possible a complex dynamic system and then study the system and its application to ordinary differential equations through perturbation analysis. Many examples are provided as is an introduction to symbolic computing.

The Text: Its Scope, Style, and Content.

Basic Concepts.

Naive Perturbation Theory (NPT).

Formalism of Perturbation Expansion.

Problems with Eigenvalues That Have Negative Real Part.

Normal Form Expansion for Conservative Planar Systems.

Dissipative Planar Systems.

Nonautonomous Oscillatory Systems.

Problems with a Zero Eigenvalue.

Higher-Dimensional Hamiltonian Systems.

Higher-Dimensional Dissipative Systems.

Appendix.

Index.
Autorenporträt
PETER B. KAHN, PhD, is Professor of Physics in the State University of New York, Stony Brook, Department of Physics. Dr. Kahn received his doctorate in physics from Northwestern University. He is a Fellow of the American Physical Society. He is also the author of Mathematical Methods for Scientists and Engineers (Wiley).

YAIR ZARMI, PhD, is the Kurt and Phyllis Kilstock Professor of Environmental Physics at the Jacob Blaustein Institute for Desert Research, Ben-Gurion University of the Negev, Israel. Dr. Zarmi received his doctorate in theoretical high-energy physics from the Weizmann Institute of Science, Israel. A groundbreaking exploration of one of contemporary science's most powerful investigative tools