Search Results - "Attarchi, Hassan"
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Kenmotsu Manifolds
Published in Lobachevskii journal of mathematics (2020)“…In this paper, a -Kenmotsu structure is defined on a dimensional manifold where such structure seems to be never studied before…”
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Ehrenfests’ Wind–Tree Model is Dynamically Richer than the Lorentz Gas
Published in Journal of statistical physics (01-09-2020)“…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…”
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3
Elliptic Flowers: New Types of Dynamics to Study Classical and Quantum Chaos
Published in Entropy (Basel, Switzerland) (01-09-2022)“…We construct examples of billiards where two chaotic flows are moving in opposite directions around a non-chaotic core or vice versa; the dynamics in the core…”
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Unexpected linearly stable orbits in 3-dimensional billiards
Published in Physica. D (01-06-2022)“…In this work, we construct linearly stable periodic orbits in 3-dimensional domains with boundaries containing focusing components (small pieces of a sphere)…”
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Sasakian structure on the unit tangent bundle of a Finsler manifold
Published in Reports on mathematical physics (01-10-2022)“…In this work, we introduce an adopted local frame on the tangent bundle of a Finsler manifold with respect to the natural foliations of the tangent bundle. We…”
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mathbf{3}$$-Kenmotsu Manifolds
Published in Lobachevskii journal of mathematics (01-03-2020)Get full text
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Unexpected Linearly Stable Orbits in $3$-Dimensional Billiards
Published 15-11-2021“…In this work, we construct linearly stable periodic orbits in $3$-dimensional domains with boundaries containing focusing components (small pieces of a sphere)…”
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Towards a Novel Family of Algorithms in Pursuit Navigation
Published in Journal of dynamical systems and geometric theories (02-01-2020)“…The problem of tracking and navigation towards a moving target is always one of the main topics in robotics. In this paper, following our recent work in the…”
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3$-Kenmotsu Manifolds
Published 30-10-2019“…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…”
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HyperKahler Contact Distributions
Published 11-09-2021“…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…”
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Cartan Spaces and Natural Foliations on the Cotangent Bundle
Published 11-09-2021“…International Journal of Geometric Methods in Modern Physics International Journal of Geometric Methods in Modern Physics, 10 (2013) In this paper, the natural…”
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Collision of a Hard Ball with Singular Points of the Boundary
Published 12-08-2020“…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…”
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Bridge to Hyperbolic Polygonal Billiards
Published 12-08-2020“…Pure and Applied Functional Analysis (2020) It is well-known that billiards in polygons cannot be chaotic (hyperbolic). Particularly Kolmogorov-Sinai entropy…”
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Why Escape Is Faster Than Expected
Published 12-08-2020“…We consider chaotic (hyperbolic) dynamical systems which have a generating Markov partition. Then, open dynamical systems are built by making one element of a…”
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Ehrenfest Wind-Tree Model is Dynamically Richer Than the Lorentz Gas
Published 12-08-2020“…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…”
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Contact Structure on the Indicatrix Bundle of Finslerian Warped Product Manifolds
Published 14-06-2011“…In this paper, a comprehensive study of contact and Sasakian structures on the indicatrix bundle of Finslerian warped product manifolds is reconstructed. In…”
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3D-Algorithms of Composed Pursuit Navigation
Published 20-05-2012“…The problem of pursuing a moving target is always one of the main topics in navigation. In the literatures, there are two well-known algorithms called Pure…”
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