A period-doubling bifurcation for the duffing equation

Osaka Journal of Mathematics

Volumn 34, Issue 3, 1997, Pages 605-627

  Komatsu, Yukie ^a   Kotani, Shinichi ^a   Matsumura, Akitaka ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004744641     PISSN: 00306126     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. E. Coddington and N. Levinson: Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955.
2. H.G. Crandall and P.H. Rabinowitz: Bifurcation from simple eigenvalues, J. Funct. Anal. 8 (1971), 321-340.
3. R. Johnson and J. Moser: The Rotation Number for Almost Periodic Potentials, Comm. Math. Phys. 84 (1982), 403-438.
4. Y. Komatsu, T. Kano and A. Matsumura: A Bifurcation phenomenon for the periodic solution of the Duffing equation, J. Math. Kyoto Univ. 37-2 (1997), 191-209.
5. Y. Ueda: The Road to Chaos, Aerial Press, Inc.
6. M. Yamaguti, H. Yosihara and T. Nishida: Periodic solutions of Duffing equation, Kyoto. Univ. Res. Inst. Math. Sci. Kokyuroku. 673 (1988).
7. K. Yosida: Lectures on differential and Integral Equations, Interscience Publishers, Inc. New York, 1960.