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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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Lenguaje: | eng |
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Oxford Univ. Press
1998
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Acceso en línea: | http://cds.cern.ch/record/370242 |
_version_ | 1780893085188751360 |
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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. |
id | cern-370242 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1998 |
publisher | Oxford Univ. Press |
record_format | invenio |
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 |