🎉 Up to 70% Off Selected ItemsShop Sale
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. 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. 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. The text considers a variety of nonautonomous systems that arise during the study of forced oscillatory motion. Topics include boundary value problems, connections to the method of the center manifold, linear and nonlinear Mathieu equations, pendula, Nuclear Magnetic Resonance, coupled oscillator systems, and other subjects. 1998 edition.
The treatment begins with an introduction to the basic concepts underlying the normal forms. 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. The text considers a variety of nonautonomous systems that arise during the study of forced oscillatory motion. Topics include boundary value problems, connections to the method of the center manifold, linear and nonlinear Mathieu equations, pendula, Nuclear Magnetic Resonance, coupled oscillator systems, and other subjects. 1998 edition.
Reprint of the John Wiley & Sons, New York, 1998 edition.
ordinary differential equations;undergraduate;graduate;exposition;method of normal forms;nonlinear dynamics;science;engineering;educational;education;reference;physics reference;dynamics;physics;mechanics;mathematical and computing;nonlinear science;investigations of systems;equations;advanced undergraduates;nonautonomous systems;forced oscillatory motion;easy to read;engaging;college;tests and exams;school;phenomenon;theoretical;science and math$8.73
Original: $24.95
-65%Nonlinear Dynamics—
$24.95
$8.73Product Information
Product Information
Shipping & Returns
Shipping & Returns
Description
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. 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. 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. The text considers a variety of nonautonomous systems that arise during the study of forced oscillatory motion. Topics include boundary value problems, connections to the method of the center manifold, linear and nonlinear Mathieu equations, pendula, Nuclear Magnetic Resonance, coupled oscillator systems, and other subjects. 1998 edition.
The treatment begins with an introduction to the basic concepts underlying the normal forms. 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. The text considers a variety of nonautonomous systems that arise during the study of forced oscillatory motion. Topics include boundary value problems, connections to the method of the center manifold, linear and nonlinear Mathieu equations, pendula, Nuclear Magnetic Resonance, coupled oscillator systems, and other subjects. 1998 edition.
Reprint of the John Wiley & Sons, New York, 1998 edition.
ordinary differential equations;undergraduate;graduate;exposition;method of normal forms;nonlinear dynamics;science;engineering;educational;education;reference;physics reference;dynamics;physics;mechanics;mathematical and computing;nonlinear science;investigations of systems;equations;advanced undergraduates;nonautonomous systems;forced oscillatory motion;easy to read;engaging;college;tests and exams;school;phenomenon;theoretical;science and math
