DocumentCode
357349
Title
Exponentially small separatrix splitting
Author
Lazutkin, V.F.
Author_Institution
St. Petersburg State Univ., Russia
Volume
1
fYear
2000
fDate
2000
Abstract
Summary form only given. The history of obtaining and subsequent strict justification of the asymptotic formula for the exponentially small separatrix splitting for the standard map is expounded. These two events are separated by the time interval equal to 15 years. The author describes the main mathematical difficulties and the ways of their overcoming. The reader can find a more detailed exposition of the material of the talk and its generalizations in a survey by V.G. Gelfreich and the author which is in preparation
Keywords
chaos; history; asymptotic formula; exponentially small separatrix splitting; standard map; History;
fLanguage
English
Publisher
ieee
Conference_Titel
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location
St. Petersburg
Print_ISBN
0-7803-6434-1
Type
conf
DOI
10.1109/COC.2000.873503
Filename
873503
Link To Document