Beyond-All-Orders Asymptotics and Heteroclinic Structures
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概要
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We analyze the chaotic dynamics, by developing the asymptotic expansion beyond all orders exploited for the analysis of separatrices-crossing angle.Choosing the standard map for illustration, we determine the Stokes multiplier (SM) by sharpening the idea on an analytic continuation in crossing the Stokes line.σ-dependent higher-order corrections to the primary (n=1) SM and the nature of SM for higher-order singularities are revealed.The asymptotic analytical result for the unstable manifold impinging upon a hyperbolic fixed point is shown to reproduce Birkhoff and Smale's horse-shoe.
- 理論物理学刊行会の論文
- 2000-07-14
著者
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Nakamura Katsuhiro
Department Of Applied Physics Osaka City University
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Kushibe Hiroyuki
Department Of Applied Biochemistry Osaka City University
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Nakamura Katsuhiro
Department Of Applied Physics Faculty Of Enginering Osaka City University
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KUSHIBE Hiroyuki
Department of Applied Biochemistry, Osaka City University
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Nakamura Kaizo
Department of Quantum Materials Science, Institute of Technology, The University of Tokushima
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NAKAMURA Katsuhiro
The James Franck Institute, The University of Chicago : Fukuoka Institute of Technology
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