skip to main content
Idioma:

Dimensions, embeddings, and attractors

James C. Robinson 1969-

Cambridge u.a. Cambridge Univ. Press 2011

Localização: IME - Inst. Matemática e Estatística    (QA338 R662d )(Acessar)

  • Título:
    Dimensions, embeddings, and attractors
  • Autor: James C. Robinson 1969-
  • Assuntos: SISTEMAS DINÂMICOS
  • Descrição: Finite-dimensional sets. Lebesgue covering dimension -- Hausdorff measure and Hausdorff dimension -- Box-counting dimension -- An embedding theorem for subsets of RN -- Prevalence, probe spaces, and a crucial inequality -- Embedding sets with dH(X-X) finite -- Thickness exponents -- Embedding sets of finite box-counting dimension -- Assouad dimension -- Finite-dimensional attractors. Partial differential equations and nonlinear semigroups -- Attracting sets in infinite-dimensional systems -- Bounding the box-counting dimension of attractors -- Thickness exponents of attractors -- The Takens time-delay embedding theorem -- Parametrisation of attractors via point values
    "This accessible research monograph investigates how 'finite-dimensional' sets can be embedded into finite-dimensional Euclidean spaces. The first part brings together a number of abstract embedding results, and provides a unified treatment of four definitions of dimension that arise in disparate fields: Lebesgue covering dimension (from classical 'dimension theory'), Hausdorff dimension (from geometric measure theory), upper box-counting dimension (from dynamical systems), and Assouad dimension (from the theory of metric spaces). These abstract embedding results are applied in the second part of the book to the finite-dimensional global attractors that arise in certain infinite-dimensional dynamical systems, deducing practical consequences from the existence of such attractors: a version of the Takens time-delay embedding theorem valid in spatially extended systems, and a result on parametrisation by point values. This book will appeal to all researchers with an interest in dimension theory, particularly those working in dynamical systems"
  • Títulos relacionados: Série:Cambridge tracts in mathematics 186
  • Editor: Cambridge u.a. Cambridge Univ. Press
  • Data de criação/publicação: 2011
  • Formato: XII, 205 S graph. Darst 23 cm.
  • Idioma: Indeterminado;Inglês
Links
Voltar para lista de resultados
Resultado  1 AvançarIr para próxima página

  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

Buscando em bases de dados remotas. Favor aguardar.