DocumentCode
1528335
Title
Dynamics of the double scroll circuit
Author
Blázquez, C. Miguel ; Tuma, Elías
Author_Institution
Dept. of Math., Univ. Tecnica Federico Santa Maria, Valparaiso, Chile
Volume
37
Issue
5
fYear
1990
fDate
5/1/1990 12:00:00 AM
Firstpage
589
Lastpage
593
Abstract
Consideration is given to a system of differential equations which has two homoclinic solutions to a same saddle-focus point. The authors prove the existence of a subsystem of solutions which remain in a neighborhood of those homoclinic orbits. In addition to the upper and lower subsystem already described by L. Slinikov´s (1965) theorem, this theorem contains solutions that switch in every turn from the neighborhood of one homoclinic to the neighborhood of the other
Keywords
nonlinear differential equations; nonlinear network analysis; differential equations; double scroll circuit; homoclinic orbits; homoclinic solutions; lower subsystem; neighborhood; saddle-focus point; upper subsystem; Chaos; Circuits and systems; Differential equations; Helium; Hydrogen; Orbits; Switches;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/31.54995
Filename
54995
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