Chaos, Fractals, and Noise: stochastic aspects of dynamics
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer
1994
|
| Edition: | Second Edition |
| Series: | Applied Mathematical Sciences
97 |
| Subjects: | |
| Online Access: | UPA01 Volltext |
| Item Description: | The first edition of this book was originally published in 1985 under the ti tle "Probabilistic Properties of Deterministic Systems. " In the intervening years, interest in so-called "chaotic" systems has continued unabated but with a more thoughtful and sober eye toward applications, as befits a ma turing field. This interest in the serious usage of the concepts and techniques of nonlinear dynamics by applied scientists has probably been spurred more by the availability of inexpensive computers than by any other factor. Thus, computer experiments have been prominent, suggesting the wealth of phe nomena that may be resident in nonlinear systems. In particular, they allow one to observe the interdependence between the deterministic and probabilistic properties of these systems such as the existence of invariant measures and densities, statistical stability and periodicity, the influence of stochastic perturbations, the formation of attractors, and many others. The aim of the book, and especially of this second edition, is to present recent theoretical methods which allow one to study these effects. We have taken the opportunity in this second edition to not only correct the errors of the first edition, but also to add substantially new material in five sections and a new chapter |
| Physical Description: | 1 Online-Ressource (XIV, 472 Seiten) |
| ISBN: | 9781461242864 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-1-4612-4286-4 |
Staff View
MARC
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Record in the Search Index
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| author | Lasota, Andrzej 1932-2006 |
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| author_facet | Lasota, Andrzej 1932-2006 |
| author_role | aut |
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-4286-4 |
| edition | Second Edition |
| format | Electronic eBook |
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| id | DE-604.BV042420264 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461242864 |
| issn | 0066-5452 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855681 |
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| physical | 1 Online-Ressource (XIV, 472 Seiten) |
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| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| series | Applied Mathematical Sciences |
| series2 | Applied Mathematical Sciences |
| spelling | Lasota, Andrzej 1932-2006 Verfasser (DE-588)113711204 aut Chaos, Fractals, and Noise stochastic aspects of dynamics by Andrzej Lasota, Michael C. Mackey Second Edition New York, NY Springer 1994 1 Online-Ressource (XIV, 472 Seiten) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 97 0066-5452 The first edition of this book was originally published in 1985 under the ti tle "Probabilistic Properties of Deterministic Systems. " In the intervening years, interest in so-called "chaotic" systems has continued unabated but with a more thoughtful and sober eye toward applications, as befits a ma turing field. This interest in the serious usage of the concepts and techniques of nonlinear dynamics by applied scientists has probably been spurred more by the availability of inexpensive computers than by any other factor. Thus, computer experiments have been prominent, suggesting the wealth of phe nomena that may be resident in nonlinear systems. In particular, they allow one to observe the interdependence between the deterministic and probabilistic properties of these systems such as the existence of invariant measures and densities, statistical stability and periodicity, the influence of stochastic perturbations, the formation of attractors, and many others. The aim of the book, and especially of this second edition, is to present recent theoretical methods which allow one to study these effects. We have taken the opportunity in this second edition to not only correct the errors of the first edition, but also to add substantially new material in five sections and a new chapter Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Statistical Physics, Dynamical Systems and Complexity Mathematik Fraktal (DE-588)4123220-3 gnd rswk-swf Chaos (DE-588)4191419-3 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Dichte Stochastik (DE-588)4139581-5 gnd rswk-swf Rauschen (DE-588)4048606-0 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Chaotisches System (DE-588)4316104-2 s Dynamisches System (DE-588)4013396-5 s 1\p DE-604 Dichte Stochastik (DE-588)4139581-5 s 2\p DE-604 Fraktal (DE-588)4123220-3 s Stochastischer Prozess (DE-588)4057630-9 s 3\p DE-604 Chaos (DE-588)4191419-3 s 4\p DE-604 Rauschen (DE-588)4048606-0 s 5\p DE-604 Mackey, Michael C. 1942- Sonstige (DE-588)170722910 oth Erscheint auch als Druck-Ausgabe, Hardcover 978-0-387-94049-6 Erscheint auch als Druck-Ausgabe, Paperback 978-1-4612-8723-0 Applied Mathematical Sciences 97 (DE-604)BV040244599 97 https://doi.org/10.1007/978-1-4612-4286-4 Verlag 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lasota, Andrzej 1932-2006 Chaos, Fractals, and Noise stochastic aspects of dynamics Applied Mathematical Sciences Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Statistical Physics, Dynamical Systems and Complexity Mathematik Fraktal (DE-588)4123220-3 gnd Chaos (DE-588)4191419-3 gnd Chaotisches System (DE-588)4316104-2 gnd Dynamisches System (DE-588)4013396-5 gnd Dichte Stochastik (DE-588)4139581-5 gnd Rauschen (DE-588)4048606-0 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| subject_GND | (DE-588)4123220-3 (DE-588)4191419-3 (DE-588)4316104-2 (DE-588)4013396-5 (DE-588)4139581-5 (DE-588)4048606-0 (DE-588)4057630-9 |
| title | Chaos, Fractals, and Noise stochastic aspects of dynamics |
| title_auth | Chaos, Fractals, and Noise stochastic aspects of dynamics |
| title_exact_search | Chaos, Fractals, and Noise stochastic aspects of dynamics |
| title_full | Chaos, Fractals, and Noise stochastic aspects of dynamics by Andrzej Lasota, Michael C. Mackey |
| title_fullStr | Chaos, Fractals, and Noise stochastic aspects of dynamics by Andrzej Lasota, Michael C. Mackey |
| title_full_unstemmed | Chaos, Fractals, and Noise stochastic aspects of dynamics by Andrzej Lasota, Michael C. Mackey |
| title_short | Chaos, Fractals, and Noise |
| title_sort | chaos fractals and noise stochastic aspects of dynamics |
| title_sub | stochastic aspects of dynamics |
| topic | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Statistical Physics, Dynamical Systems and Complexity Mathematik Fraktal (DE-588)4123220-3 gnd Chaos (DE-588)4191419-3 gnd Chaotisches System (DE-588)4316104-2 gnd Dynamisches System (DE-588)4013396-5 gnd Dichte Stochastik (DE-588)4139581-5 gnd Rauschen (DE-588)4048606-0 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Statistical Physics, Dynamical Systems and Complexity Mathematik Fraktal Chaos Chaotisches System Dynamisches System Dichte Stochastik Rauschen Stochastischer Prozess |
| url | https://doi.org/10.1007/978-1-4612-4286-4 |
| volume_link | (DE-604)BV040244599 |
| work_keys_str_mv | AT lasotaandrzej chaosfractalsandnoisestochasticaspectsofdynamics AT mackeymichaelc chaosfractalsandnoisestochasticaspectsofdynamics |