Perspectives of nonlinear dynamics: Volume 1
The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this boo...
Gespeichert in:
| Beteilige Person: | |
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1989
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| Links: | https://doi.org/10.1017/CBO9780511623974 |
| Zusammenfassung: | The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. This book is a comprehensive introduction to this field, suited to a broad readership, and reflecting a wide range of applications. Some of the concepts considered are: topological equivalence; embeddings; dimensions and fractals; Poincaré maps and map-dynamics; empirical computational sciences vis-á-vis mathematics; Ulam's synergetics; Turing's instability and dissipative structures; chaos; dynamic entropies; Lorenz and Rossler models; predator-prey and replicator models; FPU and KAM phenomena; solitons and nonsolitons; coupled maps and pattern dynamics; cellular automata. |
| Umfang: | 1 Online-Ressource (xix, 496 Seiten) |
| ISBN: | 9780511623974 |
Internformat
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| spelling | Jackson, E. Atlee 1931- Perspectives of nonlinear dynamics Volume 1 E. Atlee Jackson Cambridge Cambridge University Press 1989 1 Online-Ressource (xix, 496 Seiten) txt c cr The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. This book is a comprehensive introduction to this field, suited to a broad readership, and reflecting a wide range of applications. Some of the concepts considered are: topological equivalence; embeddings; dimensions and fractals; Poincaré maps and map-dynamics; empirical computational sciences vis-á-vis mathematics; Ulam's synergetics; Turing's instability and dissipative structures; chaos; dynamic entropies; Lorenz and Rossler models; predator-prey and replicator models; FPU and KAM phenomena; solitons and nonsolitons; coupled maps and pattern dynamics; cellular automata. Erscheint auch als Druck-Ausgabe 9780521345040 Erscheint auch als Druck-Ausgabe 9780521426329 |
| spellingShingle | Jackson, E. Atlee 1931- Perspectives of nonlinear dynamics |
| title | Perspectives of nonlinear dynamics |
| title_auth | Perspectives of nonlinear dynamics |
| title_exact_search | Perspectives of nonlinear dynamics |
| title_full | Perspectives of nonlinear dynamics Volume 1 E. Atlee Jackson |
| title_fullStr | Perspectives of nonlinear dynamics Volume 1 E. Atlee Jackson |
| title_full_unstemmed | Perspectives of nonlinear dynamics Volume 1 E. Atlee Jackson |
| title_short | Perspectives of nonlinear dynamics |
| title_sort | perspectives of nonlinear dynamics |
| work_keys_str_mv | AT jacksoneatlee perspectivesofnonlineardynamicsvolume1 |