A generation mechanism of canards in a piecewise linear system

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Volumn E80-A, Issue 3, 1997, Pages 447-453

  Arima, Noboru ^a  

^a SHONAN INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Ducks; Lost solutions; Nonlinear oscillation; Piecewise linear vector field; Slow fast system

Indexed keywords

CALCULATIONS; EIGENVALUES AND EIGENFUNCTIONS; HEURISTIC METHODS; MATHEMATICAL MODELS; OSCILLATORS (ELECTRONIC); PIECEWISE LINEAR TECHNIQUES;

NONLINEAR OSCILLATION; PIECEWISE LINEAR SYSTEMS; SECOND ORDER NONLINEAR AUTONOMOUS SYSTEM; SLOW FAST SYSTEM;

OSCILLATIONS;

EID: 0031102393     PISSN: 09168508     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. M. Diener, "Etude Générique des Canards," Thèse, Strasbourg, 1981.
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3. M. Komuro, and T. Saito, ""Lost solution" in a piecewise linear system," IEICE Trans., vol. E 74, no. 11, pp. 3625-3627, Nov. 1991.
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6. E. Benoit, J. L. Callot, F. Diener, and M. Diener, "Chasse au canard," Collectanea Mathematica, vol. 32, no. 2, pp. 37-119, 1981.
7. V. I. Arnol'd, ed., "Dynamical Systems V," Springer, 1994.
8. M. Diener, "The canard unchained or how fast/slow dynamical systems bifurcate," Mathematical Intelligencer, vol. 6, no. 3, 1984.
9. K. Shiraiwa, "Slow-fast vector fields and duck solutions," IEICE Technical Report, vol.88, no. 479, pp. 7-12, March 1989.