DocumentCode
3001573
Title
Proving the existence of periodic solutions using global interval Newton method
Author
Galias, Zbigniew
Author_Institution
Dept. of Electr. Eng., Univ. of Min. & Metall., Cracow, Poland
Volume
6
fYear
1999
fDate
36342
Firstpage
294
Abstract
In this paper we introduce the global interval Newton method and investigate the possibility of using this method for proving the existence of periodic orbits in continuous-time dynamical systems. We compare this method with a standard version of the interval Newton method. As an example we consider a simple third order electronic circuit for which we prove the existence of several unstable periodic orbits
Keywords
Newton method; circuit analysis computing; continuous time systems; nonlinear equations; nonlinear network analysis; nonlinear systems; Chua´s circuit; continuous-time dynamical systems; global interval Newton method; periodic orbits; periodic solutions; standard version; third order electronic circuit; unstable periodic orbits; Arithmetic; Chaos; Electronic circuits; Jacobian matrices; Newton method; Nonlinear systems; Orbits; Roundoff errors; Trajectory; Wrapping;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on
Conference_Location
Orlando, FL
Print_ISBN
0-7803-5471-0
Type
conf
DOI
10.1109/ISCAS.1999.780153
Filename
780153
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