Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Sardón, Cristina"'
Vlasov kinetic theory is the dynamics of a bunch of particles flowing according to symplectic Hamiltonian dynamics. More recently, this geometry has been extended to contact Hamiltonian dynamics. In this paper, we introduce geometric kinetic theories
Externí odkaz:
http://arxiv.org/abs/2308.10336
Autor:
Esen, Oğul1,2 (AUTHOR) oesen@gtu.edu.tr, Sardón, Cristina3,4 (AUTHOR) mariacristina.sardon@upm.es, Zajac, Marcin5 (AUTHOR) marcin.zajac@fuw.edu.pl
Publikováno v:
Mathematics (2227-7390). Aug2024, Vol. 12 Issue 15, p2342. 24p.
In this paper, we propose a discrete Hamilton--Jacobi theory for (discrete) Hamiltonian dynamics defined on a (discrete) contact manifold. To this end, we first provide a novel geometric Hamilton--Jacobi theory for continuous contact Hamiltonian dyna
Externí odkaz:
http://arxiv.org/abs/2209.05922
Cosymplectic geometry has been proven to be a very useful geometric background to describe time-dependent Hamiltonian dynamics. In this work, we address the globalization problem of locally cosymplectic Hamiltonian dynamics that failed to be globally
Externí odkaz:
http://arxiv.org/abs/2205.13329
In this paper we propose a Hamilton-Jacobi theory for implicit contact Hamiltonian systems in two different ways. One is the understanding of implicit contact Hamiltonian dynamics as a Legendrian submanifold of the tangent contact space, and another
Externí odkaz:
http://arxiv.org/abs/2109.14921
In this paper we aim at presenting a concise but also comprehensive study of time-dependent (tdependent) Hamiltonian dynamics on a locally conformal symplectic (lcs) manifold. We present a generalized geometric theory of canonical transformations and
Externí odkaz:
http://arxiv.org/abs/2104.02636
In this paper we provide a matched pair decomposition of the space of symmetric contravariant tensors $\mathfrak{T}\mathcal{Q}$. From this procedure two complementary Lie subalgebras of $\mathfrak{T}\mathcal{Q}$ under \textit{mutual} interaction aris
Externí odkaz:
http://arxiv.org/abs/2103.04401
Some recent works reveal that there are models of differential equations for the mean and variance of infected individuals that reproduce the SIS epidemic model at some point. This stochastic SIS epidemic model can be interpreted as a Hamiltonian sys
Externí odkaz:
http://arxiv.org/abs/2008.02484
In this article we inspect the dynamics of classical field theories with a local conformal behavior. Our interest in the multisymplectic setting comes from its suitable description of field theories, and the conformal character has been added to acco
Externí odkaz:
http://arxiv.org/abs/2002.03913
In this paper we aim at addressing the globalization problem of Hamilton-DeDonder-Weyl equations on a local $k$-symplectic framework and we introduce the notion of {\it locally conformal $k$-symplectic (l.c.k-s.) manifolds}. This formalism describes
Externí odkaz:
http://arxiv.org/abs/1911.05962