TY - GEN AU - Kuehn, Christian TI - Multiple time scale dynamics SN - 9783319344171 U1 - 515.39 PY - 2015/// CY - Switzerland PB - Springer KW - Mathematics KW - Analysis KW - General Fenichel Theory KW - Asymptotic Methods KW - Invariant Manifolds KW - Singularities KW - Computing Manifolds KW - Numerical Methods KW - Perturbation Theory KW - Oscillations KW - Spatial Dynamics KW - Stochastic Systems KW - Infinite Dimensions N1 - Includes bibliographical references and index N2 - This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form.℗ℓ The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this℗ℓ book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective ER -