Homoclinic orbits in a piecewise system and their relation with invariant sets

Physica D: Nonlinear Phenomena

Volumn 186, Issue 3-4, 2003, Pages 133-147

  Medrano T , Rene O ^a   Baptista, Murilo S ^a   Caldas, Iberê L ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Bifurcation; Homoclinic orbits; Nonlinear piecewise systems; Numerical computation

Indexed keywords

BIFURCATION (MATHEMATICS); CAPACITORS; ELECTRIC INDUCTORS; NETWORKS (CIRCUITS); NONLINEAR CONTROL SYSTEMS; NUMERICAL METHODS; RESISTORS; SET THEORY;

DOUBLE-SCROLL CIRCUITS; HOMOCLINIC ORBITS; NONLINEAR PIECEWISE SYSTEMS;

PIECEWISE LINEAR TECHNIQUES;

EID: 0242579399     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2003.08.002     Document Type: Article

References (11)

1. Andronov, Leontovich, Gordon, Maier, Israel Program of Scientific Translation, Jerusalem, 1971.
2. Kaplan J., Yorke J., Commun. Math. Phys. 67:1979;93-108.
3. Yorke J., Yorke E., J. Stat. Phys. 21:1979;263-278.
4. Kahan S., Sicardi-Schifino A.C., Physica A. 262:1999;144-152.
5. Shilnikov L., Sov. Math. Dokl. 6:1965;163-165.
6. Shilnikov L., Math. USRR Sbornik. 6:1968;427-438.
7. Shilnikov L., Math. USRR Sbornik. 10:1970;91-102.
8. S. Smale, Differential and Combinatorial Topology, Princeton University Press, Princeton, NJ, 1963.
9. Smale S., Bull. Am. Math. Soc. 73:1967;747-817.
10. Matsumoto T., Chua L., Komuro M., IEEE Trans. Circuits Syst. CAS. 32:1985;797-818.
11. Komuro M., Tokunaga R., Matsumoto T., Chua L., Hotta A., Int. J. Bifurcat. Chaos. 1:1991;139-182.