Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Viorel Niţică"'
Autor:
Viorel Nitica, Andrei Török
Publikováno v:
Axioms, Vol 4, Iss 1, Pp 84-101 (2015)
Currently, there is great renewed interest in proving the topological transitivity of various classes of continuous dynamical systems. Even though this is one of the most basic dynamical properties that can be investigated, the tools used by various
Externí odkaz:
https://doaj.org/article/23f16f0d405d40fbb1035a0af34ca8af
Autor:
Viorel Niţică, Jeroz Makhania
Publikováno v:
Symmetry, Vol 11, Iss 11, p 1374 (2019)
Motivated by connections to the study of sequences of integers, we study, from a dynamical systems point of view, the orbit structure for certain sequences of maps of integers. We find sequences of maps for which all individual orbits are bounded and
Externí odkaz:
https://doaj.org/article/5142c993f95541ebaf540f928ea932e1
Autor:
Anatole Katok, Viorel Niţică
This self-contained monograph presents rigidity theory for a large class of dynamical systems, differentiable higher rank hyperbolic and partially hyperbolic actions. This first volume describes the subject in detail and develops the principal method
Autor:
Premalata Junius, Viorel Niţică
Publikováno v:
Open Journal of Discrete Mathematics. :63-67
Motivated by their intrinsic interest and by applications to the study of numeric palindromes and other sequences of integers, we discover infinite sets of solutions and almost solutions of the equation N ⋅ M=reversal (N ⋅ M). Most of our results
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94985ec8664fa911eb372ba5c22f19e5
https://doi.org/10.4236/ojdm.2019.93007
https://doi.org/10.4236/ojdm.2019.93007
Publikováno v:
Ergodic Theory and Dynamical Systems. 32:223-235
We show that amongCrextensions (r>0) of a uniformly hyperbolic dynamical system with fiber the standard real Heisenberg group ℋnof dimension 2n+1, those that avoid an obvious obstruction to topological transitivity are generically topologically tra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e382ccd68f00d9184b20d544a1d8980
https://doi.org/10.1017/s014338571000091x
https://doi.org/10.1017/s014338571000091x
Autor:
Viorel Niţică
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 29:1197-1204
Assume that $X$ is a hyperbolic basic set for $f:X\to X$. We show new examples of Lie group fibers $G$ for which, in the class of $C^r, r>0,$ $G$-extensions of $f$, those that are transitive are open and dense. The fibers are semidirect products of c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53da58ca2a0c629dfc42ae9ab965e8d1
https://doi.org/10.3934/dcds.2011.29.1197
https://doi.org/10.3934/dcds.2011.29.1197
Autor:
Anatole Katok, Viorel Niţică
Publikováno v:
Geometriae Dedicata. 124:109-131
We consider cocycles over certain hyperbolic \({\mathbb{R}^k}\) actions, \({k\ge 2}\) , and show rigidity properties for cocycles with values in a Lie group or a diffeomorphism group, which are close to identity on a set of generators, and are suffic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88920c1501f7860f7f6810ce7d05d64b
https://doi.org/10.1007/s10711-006-9116-6
https://doi.org/10.1007/s10711-006-9116-6
Publikováno v:
Annales Henri Poincaré. 6:725-746
Let ƒ : X → X be the restriction to a hyperbolic basic set of a smooth diffeomorphism. We find several criteria for transitivity of noncompact connected Lie group extensions. As a consequence, we find transitive extensions for any finite-dimension
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b2d9f7e63b93e95f82e1c67202e1ce5
https://doi.org/10.1007/s00023-005-0221-0
https://doi.org/10.1007/s00023-005-0221-0
Autor:
Andrei Török, Viorel Niţică
Publikováno v:
Geometriae Dedicata. 102:65-90
We study extensions of higher-rank Abelian TNS actions (i.e. hyperbolic and with a special structure of the stable distributions) by compact connected Lie groups. We show that up to a constant, there are only finitely many cohomology classes. We also
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50a629490df255f14da0b2171be0cd96
https://doi.org/10.1023/b:geom.0000006583.67322.55
https://doi.org/10.1023/b:geom.0000006583.67322.55
Autor:
Viorel Niţică, Frederico Xavier
Publikováno v:
Proceedings of Symposia in Pure Mathematics. :791-796
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a61527fa59196dcd61532c9e2a98729d
https://doi.org/10.1090/pspum/069/1858555
https://doi.org/10.1090/pspum/069/1858555