Chaotic dynamics in nonlinear theory:
Using phase-plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like stru...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Delhi
Springer India
2014
|
| Schlagworte: | |
| Zusammenfassung: | Using phase-plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like structure, either for the map itself or its iterates. This usually requires some assumptions about the map, such as a diffeomorphism and some hyperbolicity conditions. In this text, less stringent definitions of a horseshoe have been suggested so as to reproduce some geometrical features typical of the Smale horseshoe, while leaving out the hyperbolicity conditions associated with it. This leads to the study of the so-called topological horseshoes. The presence of chaos-like dynamics in a vertically driven planar pendulum, a pendulum of variable length, and in other more general related equations is also proved |
| Beschreibung: | Description based on publisher supplied metadata and other sources |
| Beschreibung: | XIX, 104 Seiten Illustrationen |
| ISBN: | 9788132220923 9788132220916 |
Internformat
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV044294034 | ||
| 003 | DE-604 | ||
| 005 | 20180713 | ||
| 007 | t| | ||
| 008 | 170503s2014 xx a||| |||| 10||| eng d | ||
| 020 | |a 9788132220923 |9 978-81-322-2092-3 | ||
| 020 | |a 9788132220916 |c Print |9 978-81-322-2091-6 | ||
| 035 | |a (OCoLC)931688187 | ||
| 035 | |a (DE-599)BVBBV044294034 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-188 |a DE-83 | ||
| 082 | 0 | |a 510 | |
| 084 | |a SK 810 |0 (DE-625)143257: |2 rvk | ||
| 084 | |a 70K55 |2 msc | ||
| 084 | |a 34C28 |2 msc | ||
| 084 | |a 37N15 |2 msc | ||
| 084 | |a 37D45 |2 msc | ||
| 100 | 1 | |a Burra, Lakshmi |e Verfasser |0 (DE-588)1060063573 |4 aut | |
| 245 | 1 | 0 | |a Chaotic dynamics in nonlinear theory |
| 264 | 1 | |a New Delhi |b Springer India |c 2014 | |
| 264 | 4 | |c © 2014 | |
| 300 | |a XIX, 104 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Description based on publisher supplied metadata and other sources | ||
| 520 | |a Using phase-plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like structure, either for the map itself or its iterates. This usually requires some assumptions about the map, such as a diffeomorphism and some hyperbolicity conditions. In this text, less stringent definitions of a horseshoe have been suggested so as to reproduce some geometrical features typical of the Smale horseshoe, while leaving out the hyperbolicity conditions associated with it. This leads to the study of the so-called topological horseshoes. The presence of chaos-like dynamics in a vertically driven planar pendulum, a pendulum of variable length, and in other more general related equations is also proved | ||
| 650 | 4 | |a Chaotic behavior in systems -- Congresses | |
| 650 | 4 | |a Differentiable dynamical systems -- Congresses | |
| 650 | 4 | |a Dynamics -- Congresses | |
| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |2 gnd-content | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-81-322-2091-6 |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-029698094 | |
Datensatz im Suchindex
| _version_ | 1825494939086094336 |
|---|---|
| adam_text | |
| any_adam_object | |
| author | Burra, Lakshmi |
| author_GND | (DE-588)1060063573 |
| author_facet | Burra, Lakshmi |
| author_role | aut |
| author_sort | Burra, Lakshmi |
| author_variant | l b lb |
| building | Verbundindex |
| bvnumber | BV044294034 |
| classification_rvk | SK 810 |
| ctrlnum | (OCoLC)931688187 (DE-599)BVBBV044294034 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000zc 4500</leader><controlfield tag="001">BV044294034</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20180713</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">170503s2014 xx a||| |||| 10||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9788132220923</subfield><subfield code="9">978-81-322-2092-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9788132220916</subfield><subfield code="c">Print</subfield><subfield code="9">978-81-322-2091-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)931688187</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044294034</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 810</subfield><subfield code="0">(DE-625)143257:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">70K55</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">34C28</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">37N15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">37D45</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Burra, Lakshmi</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1060063573</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Chaotic dynamics in nonlinear theory</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New Delhi</subfield><subfield code="b">Springer India</subfield><subfield code="c">2014</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIX, 104 Seiten</subfield><subfield code="b">Illustrationen</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Description based on publisher supplied metadata and other sources</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Using phase-plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like structure, either for the map itself or its iterates. This usually requires some assumptions about the map, such as a diffeomorphism and some hyperbolicity conditions. In this text, less stringent definitions of a horseshoe have been suggested so as to reproduce some geometrical features typical of the Smale horseshoe, while leaving out the hyperbolicity conditions associated with it. This leads to the study of the so-called topological horseshoes. The presence of chaos-like dynamics in a vertically driven planar pendulum, a pendulum of variable length, and in other more general related equations is also proved</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Chaotic behavior in systems -- Congresses</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differentiable dynamical systems -- Congresses</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dynamics -- Congresses</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)1071861417</subfield><subfield code="a">Konferenzschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-81-322-2091-6</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029698094</subfield></datafield></record></collection> |
| genre | (DE-588)1071861417 Konferenzschrift gnd-content |
| genre_facet | Konferenzschrift |
| id | DE-604.BV044294034 |
| illustrated | Illustrated |
| indexdate | 2025-03-02T15:00:36Z |
| institution | BVB |
| isbn | 9788132220923 9788132220916 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029698094 |
| oclc_num | 931688187 |
| open_access_boolean | |
| owner | DE-188 DE-83 |
| owner_facet | DE-188 DE-83 |
| physical | XIX, 104 Seiten Illustrationen |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Springer India |
| record_format | marc |
| spelling | Burra, Lakshmi Verfasser (DE-588)1060063573 aut Chaotic dynamics in nonlinear theory New Delhi Springer India 2014 © 2014 XIX, 104 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Description based on publisher supplied metadata and other sources Using phase-plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like structure, either for the map itself or its iterates. This usually requires some assumptions about the map, such as a diffeomorphism and some hyperbolicity conditions. In this text, less stringent definitions of a horseshoe have been suggested so as to reproduce some geometrical features typical of the Smale horseshoe, while leaving out the hyperbolicity conditions associated with it. This leads to the study of the so-called topological horseshoes. The presence of chaos-like dynamics in a vertically driven planar pendulum, a pendulum of variable length, and in other more general related equations is also proved Chaotic behavior in systems -- Congresses Differentiable dynamical systems -- Congresses Dynamics -- Congresses (DE-588)1071861417 Konferenzschrift gnd-content Erscheint auch als Online-Ausgabe 978-81-322-2091-6 |
| spellingShingle | Burra, Lakshmi Chaotic dynamics in nonlinear theory Chaotic behavior in systems -- Congresses Differentiable dynamical systems -- Congresses Dynamics -- Congresses |
| subject_GND | (DE-588)1071861417 |
| title | Chaotic dynamics in nonlinear theory |
| title_auth | Chaotic dynamics in nonlinear theory |
| title_exact_search | Chaotic dynamics in nonlinear theory |
| title_full | Chaotic dynamics in nonlinear theory |
| title_fullStr | Chaotic dynamics in nonlinear theory |
| title_full_unstemmed | Chaotic dynamics in nonlinear theory |
| title_short | Chaotic dynamics in nonlinear theory |
| title_sort | chaotic dynamics in nonlinear theory |
| topic | Chaotic behavior in systems -- Congresses Differentiable dynamical systems -- Congresses Dynamics -- Congresses |
| topic_facet | Chaotic behavior in systems -- Congresses Differentiable dynamical systems -- Congresses Dynamics -- Congresses Konferenzschrift |
| work_keys_str_mv | AT burralakshmi chaoticdynamicsinnonlineartheory |