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Titlebook: Real and Complex Dynamical Systems; Bodil Branner,Poul Hjorth Book 1995 Springer Science+Business Media Dordrecht 1995 Dynamical system.di

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書(shū)目名稱Real and Complex Dynamical Systems
編輯Bodil Branner,Poul Hjorth
視頻videohttp://file.papertrans.cn/823/822231/822231.mp4
叢書(shū)名稱Nato Science Series C:
圖書(shū)封面Titlebook: Real and Complex Dynamical Systems;  Bodil Branner,Poul Hjorth Book 1995 Springer Science+Business Media Dordrecht 1995 Dynamical system.di
描述This volume contains edited versions of 11 contributions given by main speakers at the NATO Advanced Study Institute on lReal and Complex Dynamical Systems in Hiller0d, Denmark, June 20th - July 2nd, 1993. The vision of the institute was to illustrate the interplay between two important fields of Mathematics: Real Dynamical Systems and Complex Dynamical Systems. The interaction between these two fields has been growing over the years. Problems in Real Dynamical Systems have recently been solved using complex tools in the real or by extension to the complex. In return, problems in Complex Dynamical Systems have been settled using results from Real Dynamical Systems. The programme of the institute was to examine the state of the art of central parts of both Real and Complex Dynamical Systems, to reinforce contact between the two aspects of the theory and to make recent progress in each accessible to a larger group of mathematicians.
出版日期Book 1995
關(guān)鍵詞Dynamical system; differential equation; dynamical systems; ergodic theory; ordinary differential equati
版次1
doihttps://doi.org/10.1007/978-94-015-8439-5
isbn_softcover978-90-481-4565-2
isbn_ebook978-94-015-8439-5Series ISSN 1389-2185
issn_series 1389-2185
copyrightSpringer Science+Business Media Dordrecht 1995
The information of publication is updating

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A Monotonicity Conjecture for Real Cubic Maps,This will be an outline of work in progress. We study the conjecture that the topological entropy of a real cubic map depends “monotonely” on its parameters, in the sense that each locus of constant entropy in parameter space is a connected set.
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Real Bounds in Complex Dynamics,In these lectures we shall review some results in complex dynamics in which real bounds play a role. Then we shall give a survey on these real bounds and explain how to apply these.
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,Hénon Mappings in the Complex Domain,es, . = .. ∩ .., and . = .. ∩ ... In this paper we identify the topological structure of these sets when . is hyperbolic and |a| is sufficiently small, .., when . is a small perturbation of the polynomial .. The description involves projective and inductive limits of objects defined in terms of . alone.
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Dynamics of Ordinary Differential Equations,ial equations; our understanding of the behaviour over a range of parameter values is built up by combining classical results, results from local and global bifurcation theory, and numerical experiments. In particular, combinatorial schemes for accounting for all periodic orbits and bifurcations in the system may be a powerful tool.
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