Directional transition matrix

• Autorzy: Hiroshi Kokubu , Konstantin Mischaikow , Hiroe Oka
• Języki publikacji: EN

Abstrakty

EN

We present a generalization of topological transition matrices introduced in [6].

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1999
• Tom: 47
• Numer: 1
• Strony: 133-144

Daty

wydano

1999

Twórcy

autor

Hiroshi Kokubu

• Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan

autor

Konstantin Mischaikow

• School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332, U.S.A.

autor

Hiroe Oka

• Department of Applied Mathematics and Informatics, Faculty of Science and Technology, Ryukoku University, Seta Otsu 520-2194, Japan

Bibliografia

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• [3] R. Franzosa, The connection matrix theory for Morse decompositions, Trans. AMS 311 (1989) 781-803.
• [4] T. Gedeon, H. Kokubu, K. Mischaikow, H. Oka, and J. Reineck, Conley index theory for fast-slow systems, I: One dimensional slow dynamics, to appear in J. Dynam. Diff. Eq.
• [5] H. Kokubu, K. Mischaikow, and H. Oka, Existence of infinitely many connecting orbits in a singularly perturbed ordinary differential equations, Nonlinearity 9 (1996), 1263-1280.
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• [8] K. Mischaikow. M. Mrozek and J. Reineck, Singular index pairs, to appear in J. Dynam. Diff. Eq.
• [9] J. Reineck, The connection matrix in Morse-Smale flows, Trans. A.M.S. 322 (1990), 523-545.
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