Proving the existence of periodic solutions using global interval Newton method

Proceedings - IEEE International Symposium on Circuits and Systems

Volumn 6, Issue , 1999, Pages

  Galias, Zbigniew ^a  

^a AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

GLOBAL INTERVAL NEWTON METHOD; PERIODIC ORBITS;

ALGORITHMS; SET THEORY; THEOREM PROVING;

NONLINEAR NETWORK ANALYSIS;

EID: 0032652111     PISSN: 02714310     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (5)

1. G. Alefeld. Inclusion Methods for Systems of Nonlinear Equations - The Interval Newton Method and Modifications. In Jurgen Herzberger, editor, Topics in Validated Computations, pages 7-26. IMACS-GAMM, 1994.
2. G. Alefeld and J. Herzberger. Zntroduction to interval computations. Academic Press, New York, 1983.
3. Z. Galias. Investigations of periodic orbits in electronic circuits with interval Newton's method. In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'98, volume 3, pages 370-373, Monterey, 1998.
4. D.P. Lathrop and E.J. Kostelich. Characterisation of an experimental strange attractor by periodic orbits. Phys. Rev. A, 40(7):4028-4031, 1989.
5. A. Neumaier. Interval methods for systems of equations. Cambrigde University Press, Cambridge, 1990.