書誌事項

Structure and bifurcations of dynamical systems : proceedings of the RIMS Conference, 18-21 February 1991, Kyoto, Japan

editor, S. Ushiki

(World scientific advanced series in dynamical systems, v. 11)

World Scientific, c1992

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注記

"The papers in this volume were presented at the conference on the "Structure and Bifurcation of Dynamical Systems" -- Pref

Includes bibliographical references

内容説明・目次

内容説明

The contents of this volume consist of 15 lectures on mathematics and its applications which include the following topics: dynamics of neural network, phase transition of cellular automata, homoclinic bifurcations, ergodic theories of low dimensional dynamical systems, Anosov endomorphisms and Anosov flows, axiom A systems, complex dynamical systems, multi-dimensional holomorphic dynamical systems and holomorphic vector fields.

目次

  • Dynamics of chaotic neural networks and its applications, T.Ikeguchi & K.Aihara
  • neural networks, approximation theory, and dynamical systems, K.Funahashi & Y.Nakamura
  • switched dynamical systems - old and new problems, H.Kawakami & R.Lozi
  • self-organization of complex systems towards the border between order and chaos, K.Ito
  • multiple homoclinic bifurcation - numerical experiments and problems, K.Iori et al
  • a classification of CUSP type maps, T.Inoue
  • infinitesimal stability of Anosov endomorphisms, H.Ikeda
  • on Jakobson's theorem, M.Tsujii
  • geometric approach to Ratner's rigidity theorem, R.Abe
  • transverse invariant 1-forms for Anosov flows on 3-manifolds, N.Watanabe
  • Poisson's Law for axiom A system, M.Hirata
  • on qc-equivalence on the boundary of the tricorn, S.Nakane
  • Boettcher's theorem in multi-dimensional complex dynamical systems and super-stable manifolds, S.Ushiki
  • on holomorphic vector fields in C2 and invariants of the graph links, N.Oka
  • kneading sequences, self-similar sets and Mandelbrot set, A.Kameyama.

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詳細情報
  • NII書誌ID(NCID)
    BA19274402
  • ISBN
    • 9810211023
  • 出版国コード
    si
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Singapore ; River Edge
  • ページ数/冊数
    viii, 204 p.
  • 大きさ
    23 cm
  • 親書誌ID
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