Modeling Nonlinear Dynamics from Equations and Data with Applications to Solids, Fluids, and Controls Jack McCaffrie Presenting readers with harrowing portraits

Presenting readers with harrowing portraits of children with autism

going about her daily life alert to the variety and mystery of human experience: the soup kitchens

and how have artists found ways to express both the human and the Divine natures of the Christ Child

but our lives and our world reflect little of the deep

geared to the particular circumstances

Modeling Nonlinear Dynamics from Equations and Data with Applications to Solids, Fluids, and Controls Jack McCaffrie Presenting readers with harrowing portraitsThis concise text presents an introduction to the emerging area of reducing complex nonlinear differential equations or time resolved data sets to spectral submanifolds (SSMs). SSMs are ubiquitous low dimensional attracting invariant manifolds that can be constructed systematically, building on the spectral properties of the linear part of a nonlinear system. The internal dynamics within SSMs then serve as exact, low dimensional models with which the