Zobrazeno 1 - 10
of 299
pro vyhledávání: '"Anthony M. Bloch"'
Autor:
Anthony M. Bloch, Arieh Iserles
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 62, Pp 3301-3319 (2004)
Externí odkaz:
https://doaj.org/article/653e427e7ef2445f8492955a6339be28
Autor:
Anthony M. Bloch, Steven N. Karp
Publikováno v:
Communications in Mathematical Physics. 398:1213-1289
One can view a partial flag variety in $\mathbb{C}^n$ as an adjoint orbit $\mathcal{O}_\lambda$ inside the Lie algebra of $n \times n$ skew-Hermitian matrices. We use the orbit context to study the totally nonnegative part of a partial flag variety f
Autor:
Anthony M. Bloch, Steven N. Karp
The Toda lattice (1967) is a Hamiltonian system given by $n$ points on a line governed by an exponential potential. Flaschka (1974) showed that the Toda lattice is integrable by interpreting it as a flow on the space of symmetric tridiagonal $n\times
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::475dd66cf19cea7250047c64f96bbcb4
Autor:
Matthew D. Kvalheim, Anthony M. Bloch
Publikováno v:
Journal of Differential Equations. 285:211-257
We investigate global continuation of periodic orbits of a differential equation depending on a parameter, assuming that a closed 1-form satisfying certain properties exists. We begin by extending the global continuation theory of Alexander, Alligood
Publikováno v:
Journal of the Franklin Institute. 358:2453-2481
In this paper, the problem of mean-square integral input-to-state stability of nonlinear impulsive semi-Markov jump delay systems is investigated. By using stochastic Lyapunov functions together with Razumikhin technique, some sufficient conditions f
Publikováno v:
SIAM Journal on Control and Optimization. 59:749-776
In this paper, we provide a system theoretic treatment of a new class of multilinear time-invariant (MLTI) systems in which the states, inputs and outputs are tensors, and the system evolution is governed by multilinear operators. The MLTI system rep
Publikováno v:
IFAC-PapersOnLine. 54:94-99
This paper investigates reduction by symmetries in simple hybrid mechanical systems, in particular, symplectic and Poisson reduction for simple hybrid Hamiltonian and Lagrangian systems. We give general conditions for whether it is possible to perfor
Publikováno v:
Monthly Notices of the Royal Astronomical Society. 494:2289-2298
Observations indicate that members of close stellar binaries often have mass ratios close to unity, while longer-period systems exhibit a more uniform mass-ratio distribution. This paper provides a theoretical explanation for this finding by determin
Publikováno v:
Monthly Notices of the Royal Astronomical Society. 493:5520-5531
Motivated by the trends found in the observed sample of extrasolar planets, this paper determines tidal equilibrium states for forming planetary systems --- subject to conservation of angular momentum, constant total mass, and fixed orbital spacing.
Publikováno v:
Journal of Nonlinear Science. 30:1307-1353
This paper introduces Hamel’s formalism for classical field theories with the goal of analyzing the dynamics of continuum mechanical systems with velocity constraints. The developed formalism is utilized to prove the existence and uniqueness of mot