Results 31 to 40 of about 8,993,262 (259)
Experimental study of tensor invariants of Hamiltonian systems [PDF]
Theoretical and Applied MechanicsTypically, one considers the problem of finding the minimum number of invariants of a dynamical system sufficient for integrability. It can be also assumed that there are invariants not related to integrability that describe other properties of the ...
Tsiganov A. V.
doaj +1 more source
Canonical transformations of linear Hamiltonian systems [PDF]
E3S Web of ConferencesIn this paper we consider the linear Hamiltonian systems of differential equations. We explore the normalization of a non-singular Hamiltonian matrix. We solve a system of matrix equations to find the generating function of the canonical transformation ...
Titova Tatiana
doaj +1 more source
Symmetry Preserving Discretization of the Hamiltonian Systems with Holonomic Constraints
Mathematics, 2021 Symmetry preserving difference schemes approximating equations of Hamiltonian systems are presented in this paper. For holonomic systems in the Hamiltonian framework, the symmetrical operators are obtained by solving the determining equations of Lie ...
Lili Xia, Mengmeng Wu, Xinsheng Ge
doaj +1 more source
Journal of Applied Mathematics, 2013 This paper is devoted to multiple solutions of generalized asymptotical linear Hamiltonian systems satisfying Bolza boundary conditions. We classify the linear Hamiltonian systems by the index theory and obtain the existence and multiplicity of solutions
Yuan Shan, Baoqing Liu
doaj +1 more source
Dynamics of “leaking” Hamiltonian systems [PDF]
Physical Review E, 2002 In order to understand the dynamics in more detail, in particular for visualizing the space-filling unstable foliation of closed chaotic Hamiltonian systems, we propose to leak them up. The cutting out of a finite region of their phase space, the leak, through which escape is possible, leads to transient chaotic behavior of nearly all the trajectories.
Schneider, Judit +2 more
openaire +5 more sources
Sampled Data Systems Passivity and Discrete Port-Hamiltonian Systems [PDF]
, 2005 In this paper, we present a novel way to approach the interconnection of a continuous and a discrete time physical system. This is done in a way which preserves passivity of the coupled system independently of the sampling time T.
van der Schaft, Arjan +12 more
core +3 more sources
International Journal of Mathematics and Mathematical Sciences, 2006 The Hamiltonian equation provides us an alternate description of the basic physical laws of motion, which is used to be described by Newton's law.
Xuncheng Huang, Guizhang Tu
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2011 By using the saddle point theorem, some new existence theorems are obtained for second-order Hamiltonian systems with impulsive effects in the cases when the gradient of the nonlinearity grows sublinearly and grows linearly respectively.
Xiaofei He, Peng Chen
doaj +1 more source
Frontiers in Applied Mathematics and Statistics, 2023 We provide a short introduction to the devising of a special type of methods for numerically approximating the solution of Hamiltonian partial differential equations.
Bernardo Cockburn +2 more
doaj +1 more source
Port-Hamiltonian Systems on Graphs [PDF]
SIAM Journal on Control and Optimization, 2013 In this paper we present a unifying geometric and compositional framework for modeling complex physical network dynamics as port-Hamiltonian systems on open graphs. Basic idea is to associate with the incidence matrix of the graph a Dirac structure relating the flow and effort variables associated to the edges, internal vertices, as well as boundary ...
Schaft, A. J., Maschke, B. M.
openaire +4 more sources