Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems (Record no. 10661)
[ view plain ]
000 -LEADER | |
---|---|
fixed length control field | 03136nam a22005175i 4500 |
001 - CONTROL NUMBER | |
control field | 978-3-540-38896-8 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20190213151432.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 100301s2007 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9783540388968 |
-- | 978-3-540-38896-8 |
024 7# - OTHER STANDARD IDENTIFIER | |
Standard number or code | 10.1007/3-540-38894-X |
Source of number or code | doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA313 |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBWR |
Source | bicssc |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT034000 |
Source | bisacsh |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBWR |
Source | thema |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 515.39 |
Edition number | 23 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 515.48 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | HanĪ²mann, Heinz. |
Relator term | author. |
Relator code | aut |
-- | http://id.loc.gov/vocabulary/relators/aut |
245 10 - TITLE STATEMENT | |
Title | Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems |
Medium | [electronic resource] / |
Statement of responsibility, etc | by Heinz HanĪ²mann. |
264 #1 - | |
-- | Berlin, Heidelberg : |
-- | Springer Berlin Heidelberg, |
-- | 2007. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | XVI, 242 p. 22 illus. |
Other physical details | online resource. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
490 1# - SERIES STATEMENT | |
Series statement | Lecture Notes in Mathematics, |
International Standard Serial Number | 0075-8434 ; |
Volume number/sequential designation | 1893 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Bifurcations of Equilibria -- Bifurcations of Periodic Orbits -- Bifurcations of Invariant Tori -- Perturbations of Ramified Torus Bundles -- Planar Singularities -- Stratifications -- Normal Form Theory -- Proof of the Main KAM Theorem -- Proofs of the Necessary Lemmata. |
520 ## - SUMMARY, ETC. | |
Summary, etc | Once again KAM theory is committed in the context of nearly integrable Hamiltonian systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Hence, without the need for untypical conditions or external parameters, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system. The text moves gradually from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations have to be replaced by Cantor sets. Planar singularities and their versal unfoldings are an important ingredient that helps to explain the underlying dynamics in a transparent way. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Differentiable dynamical systems. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Differential Equations. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Global analysis. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Dynamical Systems and Ergodic Theory. |
-- | http://scigraph.springernature.com/things/product-market-codes/M1204X |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Ordinary Differential Equations. |
-- | http://scigraph.springernature.com/things/product-market-codes/M12147 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Global Analysis and Analysis on Manifolds. |
-- | http://scigraph.springernature.com/things/product-market-codes/M12082 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Theoretical, Mathematical and Computational Physics. |
-- | http://scigraph.springernature.com/things/product-market-codes/P19005 |
710 2# - ADDED ENTRY--CORPORATE NAME | |
Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY | |
Title | Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9783540828662 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9783540388944 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Lecture Notes in Mathematics, |
-- | 0075-8434 ; |
Volume number/sequential designation | 1893 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | https://doi.org/10.1007/3-540-38894-X |
912 ## - | |
-- | ZDB-2-SMA |
912 ## - | |
-- | ZDB-2-LNM |
No items available.