Abstract We provide a fully nonlinear port‐Hamiltonian formulation for discrete elastodynamical systems as well structure‐preserving time discretization. The governing equations are obtained in variational manner and represent index‐1 differential algebraic equations. Performing an index reduction, one obtains the state space model, which features strains independent next to position velocity. ...

Superselection rules induced by the interaction with a mass zero Boson field are investigated for a class of exactly soluble Hamiltonian models. The calculations apply as well to discrete as to continuous superselection rules. The initial state (reference state) of the Boson field is either a normal state or a KMS state. The superselection sectors emerge if and only if the Boson field is infrar...

In this paper, we develop a novel energy-preserving wavelet collocation method for solving general multi-symplectic formulations of Hamiltonian PDEs. Based on the autocorrelation functions of Daubechies compactly supported scaling functions, the wavelet collocation method is conducted for spatial discretization. The obtained semi-discrete system is shown to be a finite-dimensional Hamiltonian s...

This article addresses the problem of computing the Gibbs distribution of a Hamiltonian system that is subject to holonomic constraints. In doing so, we extend recent ideas of Cancès et al. (M2AN, Vol. 41, No. 2, pp. 351-389, 2007 ) who could prove a Law of Large Numbers for unconstrained molecular systems with a separable Hamiltonian employing a discrete version of Hamilton’s principle. Studyi...

Discrete breathers are time-periodic, spatially localized solutions of the equations of motion for a system of classical degrees of freedom interacting on a lattice. We study the existence of energy thresholds for discrete breathers, i.e., the question whether, in a certain system, discrete breathers of arbitrarily low energy exist, or a threshold has to be overcome in order to excite a discret...

We study the evolution of a system of n particles {(xi, vi)} n i=1 in IR . That system is a conservative system with a Hamiltonian of the form H[μ] = W 2 2 (μ, ν n), where W2 is the Wasserstein distance and μ is a discrete measure concentrated on the set {(xi, vi)} n i=1. Typically, μ(0) is a discrete measure approximating an initial L density and can be chosen randomly. When d = 1, our results...

Passivity is a very suitable tool to stabilize a telemanipulator; in fact, implementing each part of a telerobotic system as a passive system and interconnecting them in a power preserving way it is possible to achieve an intrinsically passive system which is consequently characterized by a stable behavior. In [1] scattering theory has been exploited to build a communication channel that is pas...

A collection L = P 1 ∪ P 2 ∪ · · · ∪ P t (1 ≤ t ≤ k) of t disjoint paths, s of them being singletons with |V (L)| = k is called a (k, t, s)-linear forest. A graph G is (k, t, s)ordered if for every (k, t, s)-linear forest L in G there exists a cycle C in G that contains the paths of L in the designated order as subpaths. If the cycle is also a hamiltonian cycle, then G is said to be (k, t, s)-o...

Quite general, analytical (both exact and approximate) forms for discrete probability distributions (PD’s) that maximize Tsallis entropy for a fixed variance are here investigated. They apply, for instance, in a wide variety of scenarios in which the system is characterized by a series of discrete eigenstates of the Hamiltonian. Using these discrete PD’s as “weights” leads to density operators ...