Pattern formation: an introduction to methods
From the stripes of a zebra and the spots on a leopard's back to the ripples on a sandy beach or desert dune, regular patterns arise everywhere in nature. The appearance and evolution of these phenomena has been a focus of recent research activity across several disciplines. This book provides...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2006
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| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | From the stripes of a zebra and the spots on a leopard's back to the ripples on a sandy beach or desert dune, regular patterns arise everywhere in nature. The appearance and evolution of these phenomena has been a focus of recent research activity across several disciplines. This book provides an introduction to the range of mathematical theory and methods used to analyse and explain these often intricate and beautiful patterns. Bringing together several different approaches, from group theoretic methods to envelope equations and theory of patterns in large-aspect ratio-systems, the book also provides insight behind the selection of one pattern over another. Suitable as an upper-undergraduate textbook for mathematics students or as a fascinating, engaging, and fully illustrated resource for readers in physics and biology, Rebecca Hoyle's book, using a non-partisan approach, unifies a range of techniques used by active researchers in this growing field |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (x, 422 pages) |
| ISBN: | 9780511616051 |
| DOI: | 10.1017/CBO9780511616051 |
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| 520 | |a From the stripes of a zebra and the spots on a leopard's back to the ripples on a sandy beach or desert dune, regular patterns arise everywhere in nature. The appearance and evolution of these phenomena has been a focus of recent research activity across several disciplines. This book provides an introduction to the range of mathematical theory and methods used to analyse and explain these often intricate and beautiful patterns. Bringing together several different approaches, from group theoretic methods to envelope equations and theory of patterns in large-aspect ratio-systems, the book also provides insight behind the selection of one pattern over another. Suitable as an upper-undergraduate textbook for mathematics students or as a fascinating, engaging, and fully illustrated resource for readers in physics and biology, Rebecca Hoyle's book, using a non-partisan approach, unifies a range of techniques used by active researchers in this growing field | ||
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| author | Hoyle, Rebecca B. |
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| contents | What are natural patterns? -- A bit of bifurcation theory -- A bit of group theory -- Bifurcations with symmetry -- Simple lattice patterns -- Superlattices, hidden symmetries and other complications -- Spatial modulation and envelope equations -- Instabilities of stripes and travelling plane waves -- More instabilities of patterns -- Spirals, defects and spiral defect chaos -- Large-aspect-ratio systems and the Cross-Newell equation |
| ctrlnum | (ZDB-20-CBO)CR9780511616051 (OCoLC)967685792 (DE-599)BVBBV043942805 |
| dewey-full | 500.201175 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 500 - Natural sciences and mathematics |
| dewey-raw | 500.201175 |
| dewey-search | 500.201175 |
| dewey-sort | 3500.201175 |
| dewey-tens | 500 - Natural sciences and mathematics |
| discipline | Allgemeine Naturwissenschaft Physik |
| doi_str_mv | 10.1017/CBO9780511616051 |
| format | Electronic eBook |
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| id | DE-604.BV043942805 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:18Z |
| institution | BVB |
| isbn | 9780511616051 |
| language | English |
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| spelling | Hoyle, Rebecca B. Verfasser aut Pattern formation an introduction to methods Rebecca B. Hoyle Cambridge Cambridge University Press 2006 1 online resource (x, 422 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) What are natural patterns? -- A bit of bifurcation theory -- A bit of group theory -- Bifurcations with symmetry -- Simple lattice patterns -- Superlattices, hidden symmetries and other complications -- Spatial modulation and envelope equations -- Instabilities of stripes and travelling plane waves -- More instabilities of patterns -- Spirals, defects and spiral defect chaos -- Large-aspect-ratio systems and the Cross-Newell equation From the stripes of a zebra and the spots on a leopard's back to the ripples on a sandy beach or desert dune, regular patterns arise everywhere in nature. The appearance and evolution of these phenomena has been a focus of recent research activity across several disciplines. This book provides an introduction to the range of mathematical theory and methods used to analyse and explain these often intricate and beautiful patterns. Bringing together several different approaches, from group theoretic methods to envelope equations and theory of patterns in large-aspect ratio-systems, the book also provides insight behind the selection of one pattern over another. Suitable as an upper-undergraduate textbook for mathematics students or as a fascinating, engaging, and fully illustrated resource for readers in physics and biology, Rebecca Hoyle's book, using a non-partisan approach, unifies a range of techniques used by active researchers in this growing field Pattern formation (Physical sciences) Nonlinear theories Musterbildung (DE-588)4137934-2 gnd rswk-swf Musterbildung (DE-588)4137934-2 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-52076-8 Erscheint auch als Druckausgabe 978-0-521-81750-9 https://doi.org/10.1017/CBO9780511616051 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hoyle, Rebecca B. Pattern formation an introduction to methods What are natural patterns? -- A bit of bifurcation theory -- A bit of group theory -- Bifurcations with symmetry -- Simple lattice patterns -- Superlattices, hidden symmetries and other complications -- Spatial modulation and envelope equations -- Instabilities of stripes and travelling plane waves -- More instabilities of patterns -- Spirals, defects and spiral defect chaos -- Large-aspect-ratio systems and the Cross-Newell equation Pattern formation (Physical sciences) Nonlinear theories Musterbildung (DE-588)4137934-2 gnd |
| subject_GND | (DE-588)4137934-2 |
| title | Pattern formation an introduction to methods |
| title_auth | Pattern formation an introduction to methods |
| title_exact_search | Pattern formation an introduction to methods |
| title_full | Pattern formation an introduction to methods Rebecca B. Hoyle |
| title_fullStr | Pattern formation an introduction to methods Rebecca B. Hoyle |
| title_full_unstemmed | Pattern formation an introduction to methods Rebecca B. Hoyle |
| title_short | Pattern formation |
| title_sort | pattern formation an introduction to methods |
| title_sub | an introduction to methods |
| topic | Pattern formation (Physical sciences) Nonlinear theories Musterbildung (DE-588)4137934-2 gnd |
| topic_facet | Pattern formation (Physical sciences) Nonlinear theories Musterbildung |
| url | https://doi.org/10.1017/CBO9780511616051 |
| work_keys_str_mv | AT hoylerebeccab patternformationanintroductiontomethods |