Model Emergent Dynamics in Complex Systems

Arising out of the growing interest in and applications of modern dynamical systems theory, this book explores how to derive relatively simple dynamical equations that model complex physical interactions. The author's objectives are to use sound theory to explore algebraic techniques; develop interesting applications; and discover general modeling principles. Model Emergent Dynamics in Complex Systems:* Unifies into one powerful and coherent approach the many varied extant methods for mathematical model reduction and approximation.* Uses mathematical models at various levels of resolution and complexity-it establishes the relationships between such multiscale models and clarifies difficulties and apparent paradoxes. * Addresses model reduction for systems, resolves initial conditions, and illuminates control and uncertainty.