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pro vyhledávání: '"Attarchi, Hassan"'
Autor:
Attarchi, Hassan
In this work, we construct linearly stable periodic orbits in $3$-dimensional domains with boundaries containing focusing components (small pieces of a sphere) where we place these components arbitrarily far apart. It demonstrates that we cannot dire
Externí odkaz:
http://arxiv.org/abs/2111.07980
Autor:
Attarchi, Hassan, Babaei, Fatemeh
Let $(\varphi_\alpha,\xi_\alpha,g)$ for $\alpha=1,2$, and $3$ be a contact metric $3$-structure on the manifold $M^{4n+3}$. We show that the $3$-contact distribution of this structure admits a HyperKahler structure whenever $(M^{4n+3},\varphi_\alpha,
Externí odkaz:
http://arxiv.org/abs/2109.05348
Publikováno v:
Pure and Applied Functional Analysis (2020)
It is well-known that billiards in polygons cannot be chaotic (hyperbolic). Particularly Kolmogorov-Sinai entropy of any polygonal billiard is zero. We consider physical polygonal billiards where a moving particle is a hard disc rather than a point (
Externí odkaz:
http://arxiv.org/abs/2008.05389
Publikováno v:
Journal of Statistical Physics, 180 (2020), 440-458
We consider a physical Ehrenfests' Wind-Tree model where a moving particle is a hard ball rather than (mathematical) point particle. We demonstrate that a physical periodic Wind-Tree model is dynamically richer than a physical or mathematical periodi
Externí odkaz:
http://arxiv.org/abs/2008.05385
Recently were introduced physical billiards where a moving particle is a hard sphere rather than a point as in standard mathematical billiards. It has been shown that in the same billiard tables the physical billiards may have totally different dynam
Externí odkaz:
http://arxiv.org/abs/2008.05403
We consider chaotic (hyperbolic) dynamical systems which have a generating Markov partition. Then, open dynamical systems are built by making one element of a Markov partition a hole through which orbits escape. We compare various estimates of the es
Externí odkaz:
http://arxiv.org/abs/2008.05405
Autor:
Attarchi, Hassan, Rezaii, Morteza M.
Publikováno v:
International Journal of Geometric Methods in Modern Physics International Journal of Geometric Methods in Modern Physics, 10 (2013)
In this paper, the natural foliations in cotangent bundle T*M of Cartan space (M,K) are studied. It is shown that the geometry of these foliations is closely related to the geometry of the Cartan space (M,K) itself. This approach is used to obtain ne
Externí odkaz:
http://arxiv.org/abs/2008.05415
Autor:
Attarchi, Hassan
Publikováno v:
Lobachevskii Journal of Mathematics, 41 (2020), 320-325
In this paper, a $3$-Kenmotsu structure is defined on a $4n+1$ dimensional manifold where such structure seems to be never studied before.
Externí odkaz:
http://arxiv.org/abs/1910.14234
Autor:
Attarchi, Hassan
Publikováno v:
In Reports on Mathematical Physics October 2022 90(2):147-156
