Structure and bifurcations of dynamical systems : proceedings of the RIMS Conference, 18-21 February 1991, Kyoto, Japan
著者
書誌事項
Structure and bifurcations of dynamical systems : proceedings of the RIMS Conference, 18-21 February 1991, Kyoto, Japan
（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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