Zobrazeno 1 - 10
of 120
pro vyhledávání: '"Paweł Góra"'
Autor:
Paweł Góra, Ted Szylowiec
Publikováno v:
International Journal of Bifurcation and Chaos. 32
We present strong numerical evidence for the existence of “islands” (small, localized, disjoint regions of support) for a two-dimensional map which was studied before for various ranges of parameters. Once this evidence is accepted, it leads to a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf65aea04230173f6dbafc6417db69c4
https://doi.org/10.1142/s0218127422300178
https://doi.org/10.1142/s0218127422300178
Publikováno v:
Journal of Applied Mathematics and Computation. 4:224-229
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e73c771135e688e1830abb77a1a87d2
https://doi.org/10.26855/jamc.2020.12.013
https://doi.org/10.26855/jamc.2020.12.013
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 24:297-319
In the present work, for the first time, we employ Ulam's method to estimate and to predict the existence of the probability density functions of single species populations with chaotic dynamics. In particular, given a chaotic map, we show that Ulam'
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ba01a70f7aa0f21610c4a0ef8cc0188a
https://doi.org/10.3934/dcdsb.2017144
https://doi.org/10.3934/dcdsb.2017144
Autor:
Abraham Boyarsky, Paweł Góra
Publikováno v:
American Journal of Mathematical and Computer Modelling. 6:76
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::357af983e0e50054284ff39969460c67
https://doi.org/10.11648/j.ajmcm.20210604.13
https://doi.org/10.11648/j.ajmcm.20210604.13
Publikováno v:
Journal of Statistical Physics. 165:409-433
We consider a map of the unit square which is not 1–1, such as the memory map studied in Gora (Statistical and deterministic dynamics of maps with memory, http://arxiv.org/abs/1604.06991 ). Memory maps are defined as follows: $$x_{n+1}=M_{\alpha }(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1fdca7bbc4eb1ee2be52bde991f1df6
https://doi.org/10.1007/s10955-016-1620-y
https://doi.org/10.1007/s10955-016-1620-y
Publikováno v:
Journal of Mathematical Analysis and Applications
Journal of Mathematical Analysis and Applications, 470(1), 159-168
Journal of Mathematical Analysis and Applications, 470(1), 159-168
We consider the non-autonomous dynamical system { τ n } , where τ n is a continuous map X → X , and X is a compact metric space. We assume that { τ n } converges uniformly to τ. The inheritance of chaotic properties as well as topological entro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6e96358ad62651baca6741073509b20
https://doi.org/10.1016/j.jmaa.2018.09.060
https://doi.org/10.1016/j.jmaa.2018.09.060
Publikováno v:
Dynamical Systems. 30:253-269
Multivalued maps have many applications. We consider one-dimensional multivalued maps whose graphs are defined by lower and upper boundary maps. Let I = [0, 1] and let be a partition of I into a finite number of intervals. Let τl, τu: I → I be tw
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::370b501a57ef047c498e93069f64d41f
https://doi.org/10.1080/14689367.2015.1006585
https://doi.org/10.1080/14689367.2015.1006585
Publikováno v:
Nonlinear Dynamics. 79:2165-2175
$$\tau $$ is a continuous map on a metric compact space $$X$$ . For a continuous function $$\phi :X\rightarrow \mathbb R$$ , we consider a one-dimensional map $$T$$ (possibly multi-valued) which sends a local $$\phi $$ -maximum on $$\tau $$ trajector
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a217604915c067a915dbd16a63d4a3cc
https://doi.org/10.1007/s11071-014-1802-6
https://doi.org/10.1007/s11071-014-1802-6
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76c52b3b4afd01abc0b7445ea33662ab
https://doi.org/10.1007/s10955-014-1029-4
https://doi.org/10.1007/s10955-014-1029-4
Autor:
Peyman Eslami, Paweł Góra
Publikováno v:
Proceedings of the American Mathematical Society. 141:4249-4260
For a large class of piecewise expanding C 1 , 1 \mathcal {C}^{1,1} maps of the interval we prove the Lasota-Yorke inequality with a constant smaller than the previously known 2 / inf | τ ′ | 2/\inf |\tau ’| . Consequently, the stability results
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7eeedcc87f478556d87b70cc5c34bd8b
https://doi.org/10.1090/s0002-9939-2013-11676-x
https://doi.org/10.1090/s0002-9939-2013-11676-x