MARC details
000 -LEADER |
fixed length control field |
02928nmm a22003615i 4500 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20230705150645.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
100301s2005 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783540288893 |
-- |
978-3-540-28889-3 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
500 |
Edition number |
23 |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Jost, Jürgen. |
9 (RLIN) |
20881 |
245 ## - TITLE STATEMENT |
Title |
Dynamical Systems |
Medium |
[electronic resource] : |
Remainder of title |
Examples of Complex Behaviour / |
Statement of responsibility, etc. |
by Jürgen Jost. |
250 ## - EDITION STATEMENT |
Edition statement |
1st ed. 2005. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. |
Place of publication, distribution, etc. |
Berlin, Heidelberg : |
Name of publisher, distributor, etc. |
Springer Berlin Heidelberg : |
-- |
Imprint: Springer, |
Date of publication, distribution, etc. |
2005. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
VIII, 190 p. 65 illus., 15 illus. in color. |
Other physical details |
online resource. |
505 ## - FORMATTED CONTENTS NOTE |
Formatted contents note |
Stability of dynamical systems, bifurcations, and generic properties -- Discrete invariants of dynamical systems -- Entropy and topological aspects of dynamical systems -- Entropy and metric aspects of dynamical systems -- Entropy and measure theoretic aspects of dynamical systems -- Smooth dynamical systems -- Cellular automata and Boolean networks as examples of discrete dynamical systems. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
Our aim is to introduce, explain, and discuss the fundamental problems, ideas, concepts, results, and methods of the theory of dynamical systems and to show how they can be used in speci?c examples. We do not intend to give a comprehensive overview of the present state of research in the theory of dynamical systems, nor a detailed historical account of its development. We try to explain the important results, often neglecting technical re?nements 1 and, usually, we do not provide proofs. One of the basic questions in studying dynamical systems, i.e. systems that evolve in time, is the construction of invariants that allow us to classify qualitative types of dynamical evolution, to distinguish between qualitatively di?erent dynamics, and to studytransitions between di?erent types. Itis also important to ?nd out when a certain dynamic behavior is stable under small perturbations, as well as to understand the various scenarios of instability. Finally, an essential aspect of a dynamic evolution is the transformation of some given initial state into some ?nal or asymptotic state as time proceeds. Thetemporalevolutionofadynamicalsystemmaybecontinuousordiscrete, butitturnsoutthatmanyoftheconceptstobeintroducedareusefulineither case. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Physics. |
9 (RLIN) |
20882 |
|
Topical term or geographic name entry element |
Astronomy. |
9 (RLIN) |
20883 |
|
Topical term or geographic name entry element |
Mathematics. |
9 (RLIN) |
20884 |
|
Topical term or geographic name entry element |
Dynamical systems. |
9 (RLIN) |
20885 |
|
Topical term or geographic name entry element |
Operations research. |
9 (RLIN) |
20886 |
|
Topical term or geographic name entry element |
Econometrics. |
9 (RLIN) |
20887 |
|
Topical term or geographic name entry element |
Mathematical optimization. |
9 (RLIN) |
20888 |
|
Topical term or geographic name entry element |
Calculus of variations. |
9 (RLIN) |
20889 |
|
Topical term or geographic name entry element |
Physics and Astronomy. |
9 (RLIN) |
20890 |
|
Topical term or geographic name entry element |
Mathematics. |
9 (RLIN) |
20884 |
|
Topical term or geographic name entry element |
Dynamical Systems. |
9 (RLIN) |
20891 |
|
Topical term or geographic name entry element |
Operations Research and Decision Theory. |
9 (RLIN) |
20892 |
|
Topical term or geographic name entry element |
Quantitative Economics. |
9 (RLIN) |
20893 |
|
Topical term or geographic name entry element |
Calculus of Variations and Optimization. |
9 (RLIN) |
20894 |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="https://doi.org/10.1007/3-540-28889-9">https://doi.org/10.1007/3-540-28889-9</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
e-Book |