Nonlinear dynamics: a primer
A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2001
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| Subjects: | |
| Online Access: | BSB01 FHN01 UBG01 Volltext |
| Summary: | A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selected book exercises. See www.cambridge.org/economics/resources |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xiii, 300 pages) |
| ISBN: | 9780511754050 |
| DOI: | 10.1017/CBO9780511754050 |
Staff View
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| 520 | |a A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selected book exercises. See www.cambridge.org/economics/resources | ||
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Record in the Search Index
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| author | Medio, Alfredo 1938- |
| author_facet | Medio, Alfredo 1938- |
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| contents | Statics and dynamics : some elementary concepts -- Review of linear systems -- Stability of fixed points -- Invariant and attracting sets, periodic and quasiperiodic orbits -- Local bifurcations -- Chaotic sets and chaotic attractors -- Characteristic exponents, fractals, homoclinic orbits -- Transition to chaos -- The ergodic approach -- Deterministic systems and stochastic processes |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| doi_str_mv | 10.1017/CBO9780511754050 |
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| id | DE-604.BV043929074 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:38:53Z |
| institution | BVB |
| isbn | 9780511754050 |
| language | English |
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| owner_facet | DE-12 DE-473 DE-BY-UBG DE-92 |
| physical | 1 online resource (xiii, 300 pages) |
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| publishDate | 2001 |
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| publisher | Cambridge University Press |
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| spelling | Medio, Alfredo 1938- Verfasser aut Nonlinear dynamics a primer Alfredo Medio, Marji Lines Cambridge Cambridge University Press 2001 1 online resource (xiii, 300 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Statics and dynamics : some elementary concepts -- Review of linear systems -- Stability of fixed points -- Invariant and attracting sets, periodic and quasiperiodic orbits -- Local bifurcations -- Chaotic sets and chaotic attractors -- Characteristic exponents, fractals, homoclinic orbits -- Transition to chaos -- The ergodic approach -- Deterministic systems and stochastic processes A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selected book exercises. See www.cambridge.org/economics/resources Differentiable dynamical systems Nonlinear theories Nichtlineare Dynamik (DE-588)4126141-0 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 s Mathematisches Modell (DE-588)4114528-8 s 1\p DE-604 Nichtlineare Dynamik (DE-588)4126141-0 s 2\p DE-604 Lines, M. 1951- Sonstige oth Erscheint auch als Druckausgabe 978-0-521-55186-1 Erscheint auch als Druckausgabe 978-0-521-55874-7 https://doi.org/10.1017/CBO9780511754050 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Medio, Alfredo 1938- Nonlinear dynamics a primer Statics and dynamics : some elementary concepts -- Review of linear systems -- Stability of fixed points -- Invariant and attracting sets, periodic and quasiperiodic orbits -- Local bifurcations -- Chaotic sets and chaotic attractors -- Characteristic exponents, fractals, homoclinic orbits -- Transition to chaos -- The ergodic approach -- Deterministic systems and stochastic processes Differentiable dynamical systems Nonlinear theories Nichtlineare Dynamik (DE-588)4126141-0 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4126141-0 (DE-588)4126142-2 (DE-588)4114528-8 |
| title | Nonlinear dynamics a primer |
| title_auth | Nonlinear dynamics a primer |
| title_exact_search | Nonlinear dynamics a primer |
| title_full | Nonlinear dynamics a primer Alfredo Medio, Marji Lines |
| title_fullStr | Nonlinear dynamics a primer Alfredo Medio, Marji Lines |
| title_full_unstemmed | Nonlinear dynamics a primer Alfredo Medio, Marji Lines |
| title_short | Nonlinear dynamics |
| title_sort | nonlinear dynamics a primer |
| title_sub | a primer |
| topic | Differentiable dynamical systems Nonlinear theories Nichtlineare Dynamik (DE-588)4126141-0 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Differentiable dynamical systems Nonlinear theories Nichtlineare Dynamik Nichtlineares dynamisches System Mathematisches Modell |
| url | https://doi.org/10.1017/CBO9780511754050 |
| work_keys_str_mv | AT medioalfredo nonlineardynamicsaprimer AT linesm nonlineardynamicsaprimer |