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Ordinary differential equations with applications

Developed from the author's 20 years of teaching the course, this work addresses both theory and applications, interweaving application with theory. It links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and abstract algebra.
Print Book, English, [1999]
Springer, New York, [1999]
XV, 561 p. ; 24 cm.
9780387985350, 0387985352
639643334
Introduction to Ordinary Differential Equations * Linear Systems and Stability of Nonlinear Systems * Applications * Hyperbolic Theory * Continuation of Periodic Solutions * Homoclinic Orbits, Melnikov?s Method, and Chaos * Averaging * Local Bifurcation * References * Index.