Nonlinear Dynamics
Nonlinear Dynamics Geared toward advanced undergraduates and graduate students, this exposition covers the method of normal forms and its application to ordinary differential equations through…
Specifikacia Nonlinear Dynamics
Nonlinear Dynamics
Geared toward advanced undergraduates and graduate students, this exposition covers the method of normal forms and its application to ordinary differential equations through perturbation analysis. Coverage then shifts to an investigation of systems with one degree of freedom that model oscillations, in which the force has a dominant linear term and a small nonlinear one. In addition to its emphasis on the freedom inherent in the normal form expansion, the text features numerous examples of equations, the kind of which are encountered in many areas of science and engineering.The treatment begins with an introduction to the basic concepts underlying the normal forms.
Topics include boundary value problems, connections to the method of the center manifold, linear and The text considers a variety of nonautonomous systems that arise during the study of forced oscillatory motion.
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