Zobrazeno 1 - 7
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pro vyhledávání: '"Harald Proppe"'
Publikováno v:
Journal of Statistical Physics. 156:775-799
In work started in [17] and continued in this paper our objective is to study selectors of multivalued functions which have interesting dynamical properties, such as possessing absolutely continuous invariant measures. We specify the graph of a multi
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https://doi.org/10.1007/s10955-014-1029-4
https://doi.org/10.1007/s10955-014-1029-4
We consider a dynamical system to have memory if it remembers the current state as well as the state before that. The dynamics is defined as follows: $x_{n+1}=T_{\alpha}(x_{n-1},x_{n})=\tau (\alpha \cdot x_{n}+(1-\alpha)\cdot x_{n-1}),$ where $\tau$
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http://arxiv.org/abs/1604.06991
http://arxiv.org/abs/1604.06991
Publikováno v:
Journal of Statistical Physics. 146:850-863
The statistical behavior of families of maps is important in studying the stability properties of chaotic maps. For a piecewise expanding map τ whose slope >2 in magnitude, much is known about the stability of the associated invariant density. Howev
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https://doi.org/10.1007/s10955-012-0425-x
https://doi.org/10.1007/s10955-012-0425-x
Publikováno v:
Ergodic Theory and Dynamical Systems. 33:158-167
Keller [Stochastic stability in some chaotic dynamical systems. Monatsh. Math.94(4) (1982), 313–333] introduced families of W-shaped maps that can have a great variety of behaviors. As a family approaches a limit W map, he observed behavior that wa
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https://doi.org/10.1017/s0143385711000836
https://doi.org/10.1017/s0143385711000836
Publikováno v:
Physics Letters A. 374:435-438
In recent years an idea has emerged that a system in a 3-dimensional space can be described from an information point of view by a system on its 2-dimensional boundary. This mysterious correspondence is called the Holographic Principle and has had pr
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https://doi.org/10.1016/j.physleta.2009.11.005
https://doi.org/10.1016/j.physleta.2009.11.005
Autor:
Harald Proppe, Kourosh Adl-Zarabi
Publikováno v:
Journal of Statistical Physics. 89:537-548
Let Ω be a region in ℝn and letp = Pi )i1m, be a partition ofΩ into a finite number of closed subsets having piecewise C2 boundaries of finite(n - 1 )dimensional measure. Let τ:Ω→Ω be piecewise C2 onP where, τi = τ¦pi is aC2 diffeomorphis
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https://doi.org/10.1007/bf02765534
https://doi.org/10.1007/bf02765534
Autor:
Harald Proppe, Kourosh Adl-Zarabi
Publikováno v:
Journal of Applied Mathematics and Stochastic Analysis, Vol 13, Iss 1, Pp 33-40 (2000)
Let Ω be a bounded region in ℝn and let 𝒫={Pi}i=1m be a partition of Ω into a finite number of closed subsets having piecewise C2 boundaries of finite (n−1)-dimensional measure. Let τ:Ω→Ω be an expanding transformation on 𝒫 where, τ
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