Zobrazeno 1 - 10
of 624
pro vyhledávání: '"70G45"'
In 1986, Albert proposed a Marsden-Weinstein reduction process for cosymplectic structures. In this paper, we present the limitations of this theory in the application of the reduction of symmetric time-dependent Hamiltonian systems. As a consequence
Externí odkaz:
http://arxiv.org/abs/2411.11997
Autor:
Hirota, Yuji, Ikeda, Noriaki
Reduction theorem for Poisson manifolds with Hamiltonian Lie algebroids is presented. The notion of compatibility of a momentum section is introduced to the category of Hamiltonian Lie algebroids over Poisson manifolds. It is shown that a compatible
Externí odkaz:
http://arxiv.org/abs/2411.10969
Autor:
Vollmer, Andreas
We show that two natural and a priori unrelated structures encapsulate the same data, namely certain commutative and associative product structures and a class of superintegrable Hamiltonian systems. More precisely, consider a Euclidean space of dime
Externí odkaz:
http://arxiv.org/abs/2411.06418
Autor:
Vollmer, Andreas
Second-order (maximally) conformally superintegrable Hamiltonian systems of abundant type are re-examined, revealing their underlying Weylian geometry. This allows one to naturally extend the concept of c-superintegrability from the realm of conforma
Externí odkaz:
http://arxiv.org/abs/2411.00569
Autor:
Van Tiep, Dinh, Son, Nguyen Thanh
We consider the optimization problem with a generally quadratic matrix constraint of the form $X^TAX = J$, where $A$ is a given nonsingular, symmetric $n\times n$ matrix and $J$ is a given $k\times k$ matrix, with $k\leq n$, satisfying $J^2 = I_k$. S
Externí odkaz:
http://arxiv.org/abs/2410.22068
Autor:
Aydin, Cengiz, Batkhin, Alexander
In the framework of the spatial circular Hill three-body problem we illustrate the application of symplectic invariants to analyze the network structure of symmetric periodic orbit families. The extensive collection of families within this problem co
Externí odkaz:
http://arxiv.org/abs/2410.21245
Autor:
Wagner, Maxime, Wurzbacher, Tilmann
We show the equivalence of different conditions on a classical field psi to be a solution of the field equations, notably in terms of the Hamilton-Volterra equations, the principle of least action and several conditions based on the contraction of th
Externí odkaz:
http://arxiv.org/abs/2410.21068
In this paper, we prove that the trajectories of unreduced $\phi$-simple Chaplygin kinetic systems are reparametrizations of horizontal geodesics with respect to a modified Riemannian metric. Furthermore, our proof is constructive and these Riemannia
Externí odkaz:
http://arxiv.org/abs/2409.18648
Autor:
Pelletier, Fernand, Cabau, Patrick
In this paper the notion of Dirac structure in finite dimension is extended to the convenient setting. In particular, we introduce the notion of partial Dirac structure on convenient Lie algebroids and manifolds. We then look for those structures who
Externí odkaz:
http://arxiv.org/abs/2409.13497
This paper presents a set-up for momentum map reduction of nonholonomic systems with symmetries, extending previous constructions in [3,25], based on the existence of certain conserved quantities and making essential use of the nonholonomic momentum
Externí odkaz:
http://arxiv.org/abs/2409.05970