Name: Modeling Nonlinear Dynamics from Equations and Data with Applications to Solids, Fluids, and Controls (en Inglés)
SKU: 67197939
Price: 93.76 USD
Availability: InStock
Author: George Haller

portada Modeling Nonlinear Dynamics from Equations and Data with Applications to Solids, Fluids, and Controls (en Inglés)

Modeling Nonlinear Dynamics from Equations and Data with Applications to Solids, Fluids, and Controls (en Inglés)

Formato

Libro Físico

Editorial

SIAM - Society for Industrial and Applied Mathematics

Autor

George Haller

Colección

Computational Science and Engineering

Año

2025

Idioma

Inglés

N° páginas

151

Encuadernación

Tapa Dura

ISBN13

9781611978346

Modeling Nonlinear Dynamics from Equations and Data with Applications to Solids, Fluids, and Controls (en Inglés)

George Haller (Autor) · SIAM - Society for Industrial and Applied Mathematics · Tapa Dura

Libro Nuevo Importado

Envío: 25 a 32 días háb.

$ 170.47$ 93.76

-45%

Costos de importación incluídos en el precio ✅

Libro Nuevo

Quedan 10 unidades

$ 93.76

Llega entre el 28 Sep y el 12 Oct a Quito, Pichincha. Seleccionar ubicación

Agregar a lista de deseos

Reseña del libro "Modeling Nonlinear Dynamics from Equations and Data with Applications to Solids, Fluids, and Controls (en Inglés)"

An innovative method reduces complex nonlinear equations to spectral submanifolds (SSMs), low-dimensional invariant structures that capture the essence of system dynamics with precision. Applications in fluid and solid mechanics and control theory demonstrate the power of these mathematically sound, predictive models.

This 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 full system evolution synchronizes exponentially fast.

SSM-based model reduction has a solid mathematical foundation and hence is guaranteed to deliver accurate and predictive reduced-order models under a precise set of assumptions. This book illustrates the power of SSM reduction on a large collection of equation- and data-driven applications in fluid mechanics, solid mechanics, and control.

Audience
This book is intended for graduate students, postdocs, faculty, and industrial researchers working in model reduction for nonlinear physical systems arising in solid mechanics, fluid dynamics, and control theory. It is appropriate for courses on differential equations, modeling, dynamical systems, and data-driven modeling.