Results 11 to 20 of about 17,286,981 (307)

Hamiltonian and Variational Linear Distributed Systems [PDF]

, 2002
We use the formalism of bilinear- and quadratic differential forms in order to study Hamiltonian and variational linear distributed systems. It was shown in [1] that a system described by ordinary linear constant-coefficient differential equations is ...
Rapisarda, Paolo, Trentelman, Harry L.
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Linear Hamiltonian behaviors and bilinear differential forms [PDF]

, 2004
We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to ...
Rapisarda, P., Trentelman, H.L., Trentelman, H.L.,, Rapisarda, P, Rapisarda, P.,, Trentelman, HL, Rapisarda, Paolo, Trentelman, Harry L.   +7 more
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The generalized centrally extended Lie algebraic structures and related integrable heavenly type equations

Karpatsʹkì Matematičnì Publìkacìï, 2020
There are studied Lie-algebraic structures of a wide class of heavenly type non-linear integrable equations, related with coadjoint flows on the adjoint space to a loop vector field Lie algebra on the torus.
O.Ye. Hentosh, A.A. Balinsky, A.K. Prykarpatski   +2 more
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Contact Hamiltonian systems [PDF]

Journal of Mathematical Physics, 2019
In this paper, we study Hamiltonian systems on contact manifolds, which is an appropriate scenario to discuss dissipative systems. We show how the dissipative dynamics can be interpreted as a Legendrian submanifold, and also prove a coisotropic reduction theorem similar to the one in symplectic mechanics; as a consequence, we get a method to reduce the
Lainz Valcázar, Manuel, León, Manuel de   +1 more
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Review of Legal Judgment Prediction Based on Graph Deep Learning [PDF]

Jisuanji kexue yu tansuo
Legal judgment prediction aims to predict judgment results based on the description of case facts, such as law articles, charges, and term of penalty involved in the case.
ZHANG Yifei, LI Yanling, GE Fengpei
doaj   +1 more source

Stochastic Port-Hamiltonian Systems

Journal of Nonlinear Science, 2022
AbstractIn the present work we formally extend the theory of port-Hamiltonian systems to include random perturbations. In particular, suitably choosing the space of flow and effort variables we will show how several elements coming from possibly different physical domains can be interconnected in order to describe a dynamic system perturbed by general ...
Cordoni F., Di Persio, L. and Muradore, R   +3 more
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Soundscape Recognition: Explorations and Frontiers of Acoustic Scene Classification in the Digital Era [PDF]

Jisuanji gongcheng
Acoustic Scene Classification (ASC) aims to enable computers to simulate the human auditory system in the task of recognizing various acoustic environments, which is a challenging task in the field of computer audition.
PANG Xin, GE Fengpei, LI Yanling
doaj   +1 more source

A Finite Dimensional Approximation of the shallow water Equations: The port-Hamiltonian Approach [PDF]

, 2006
We look into the problem of approximating a distributed parameter port-Hamiltonian system which is represented by a non-constant Stokes-Dirac structure.
Ramkrishna Pasumarthy, R.P., Pasumarthy, Ramkrishna, Ramkrishna Pasumarthy, Schaft, Arjan van der; id_orcid, van der Schaft, Arjan, Schaft, Arjan van der, Arjan van der Schaft, Pasumarthy, Ramkrishna,, Schaft, Arjan van der,   +8 more
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Ergodicity in Hamiltonian Systems [PDF]

, 1995
We discuss the Sinai method of proving ergodicity of a discontinuous Hamiltonian system with (non-uniform) hyperbolic behavior.
Liverani, Carlangelo, Wojtkowski, Maciej P.   +1 more
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Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems [PDF]

, 2011
This paper addresses the issue of structure-preserving discretization of open distributed-parameter systems with Hamiltonian dynamics. Employing the formalism of discrete exterior calculus, we introduce a simplicial Dirac structure as a discrete analogue
Seslija, Marko,, Scherpen, Jacquelien M.A.,, van der Schaft, Abraham, van der Schaft, Abraham; id_orcid, Arjan Van Der Schaft, Jacquelien M. A. Scherpen, van der Schaft, Arjan, Scherpen, Jacquelien M.A., Seslija, Marko, van der Schaft, Arjan ; id_orcid, Marko Seslija, Schaft, Arjan van der,   +11 more
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