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Geometric methods for discrete dynamical systems

This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models used to des...

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Detalles Bibliográficos
Autor principal: Easton, Robert W
Lenguaje:eng
Publicado: Oxford Univ. Press 1998
Materias:
Acceso en línea:http://cds.cern.ch/record/370242
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author Easton, Robert W
author_facet Easton, Robert W
author_sort Easton, Robert W
collection CERN
description This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models used to describe physical processes, and from the effects of external controls. The author provides an introduction accessible to beginning graduate students and emphasizing geometric aspects of the theory. Conley''s ideas about rough orbits and chain-recurrence play a central role in the treatment. The book will be a useful reference for mathematicians, scientists, and engineers studying this field, and an ideal text for graduate courses in dynamical systems.
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spelling cern-3702422021-04-22T03:22:04Zhttp://cds.cern.ch/record/370242engEaston, Robert WGeometric methods for discrete dynamical systemsMathematical Physics and MathematicsThis book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models used to describe physical processes, and from the effects of external controls. The author provides an introduction accessible to beginning graduate students and emphasizing geometric aspects of the theory. Conley''s ideas about rough orbits and chain-recurrence play a central role in the treatment. The book will be a useful reference for mathematicians, scientists, and engineers studying this field, and an ideal text for graduate courses in dynamical systems.Oxford Univ. Pressoai:cds.cern.ch:3702421998
spellingShingle Mathematical Physics and Mathematics
Easton, Robert W
Geometric methods for discrete dynamical systems
title Geometric methods for discrete dynamical systems
title_full Geometric methods for discrete dynamical systems
title_fullStr Geometric methods for discrete dynamical systems
title_full_unstemmed Geometric methods for discrete dynamical systems
title_short Geometric methods for discrete dynamical systems
title_sort geometric methods for discrete dynamical systems
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/370242
work_keys_str_mv AT eastonrobertw geometricmethodsfordiscretedynamicalsystems