DocumentCode
486032
Title
The Melnikov Technique and Arnold Diffusion for a Class of Perturbed Dissipative Systems
Author
Salam, Fathi M A
Author_Institution
Dept. of Mechanical Engineering and Mechanics, Systems Group, Drexel University, Philadelphia, PA 19104
fYear
1984
fDate
6-8 June 1984
Firstpage
258
Lastpage
261
Abstract
This work presents a slight extension to the vector Melnikov function that measures the presence of Arnold diffusion in perturbed near-integrable Hamiltonian systems. It adopts a differential equations viewpoint and allows one subsystem, the one possessing the homoclinic orbit, to be dissipative. Adding damping to the other subsystems appears very difficult because of the Hamiltonian nature of KAM theory. This extension is made with a view to application.
Keywords
Chaos; Circuits; Damping; Differential equations; Extraterrestrial measurements; Josephson junctions; Mechanical engineering; Mechanical variables measurement; Power system simulation; Systems engineering and theory;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1984
Conference_Location
San Diego, CA, USA
Type
conf
Filename
4788386
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