Temat: Hamiltonian reduction - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: The geometric properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal, fiber bundles and some applications. Pt. 1
Autorzy:: Prykarpatsky, Y.A.
Samoilenko, A.M.
Prykarpatsky, A.K.
Powiązania:: https://bibliotekanauki.pl/articles/952850.pdf
Data publikacji:: 2005
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: Hamiltonian reduction
symplectic structures
connections
principal fiber bundles
Yang-Mills type gauge fields
Opis:: The canonical reduction method on canonically symplectic manifolds is analized in detail, the relationships with the geometric properties of associated principal fiber bundles endowed with connection structures are stated. Some results devoted to studying geometrical properties of nonabelian Yang-Mills type gauge field equations are presented.
Źródło:: Opuscula Mathematica; 2005, 25, 2; 287-298
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Model reduction techniques for linear constant coeﬃcient port-Hamiltonian diﬀerential-algebraic systems
Autorzy:: Hauschild, Sarah-Alexa
Marheineke, Nicole
Mehrmann, Volker
Powiązania:: https://bibliotekanauki.pl/articles/970123.pdf
Data publikacji:: 2019
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: structure-preserving model reduction
index reduction
port-Hamiltonian diﬀerential-algebraicsystem
moment matching
eﬀort constraint method
ﬂow constraint method
Opis:: The aim of this paper is to combine model order reduction for diﬀerential-algebraic equations with port-Hamiltonian structure preservation. For this, we extend two classes of model reduction techniques (reduction of the Dirac structure and moment matching) to handle port-Hamiltonian diﬀerential-algebraic equations. The performance of the methods is investigated for benchmark examples, originating from semi-discretized ﬂow problems and mechanical multibody systems.
Źródło:: Control and Cybernetics; 2019, 48, 1; 125-152
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Derivation of physically motivated constraints for efficient interval simulations applied to the analysis of uncertain dynamical systems
Autorzy:: Freihold, M.
Hofer, E. P.
Powiązania:: https://bibliotekanauki.pl/articles/930126.pdf
Data publikacji:: 2009
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: system Hamiltona
algorytm rozgałęzienia
system dynamiczny
VALENCIA-IVP
consistency tests for the reduction of overestimation
identification of dynamical constraints
Hamiltonian systems
branch algorithm
prune algorithm
Opis:: Interval arithmetic techniques such as VALENCIA-IVP allow calculating guaranteed enclosures of all reachable states of continuous-time dynamical systems with bounded uncertainties of both initial conditions and system parameters. Considering the fact that, in naive implementations of interval algorithms, overestimation might lead to unnecessarily conservative results, suitable consistency tests are essential to obtain the tightest possible enclosures. In this contribution, a general framework for the use of constraints based on physically motivated conservation properties is presented. The use of these constraints in verified simulations of dynamical systems provides a computationally efficient procedure which restricts the state enclosures to regions that are physically eaningful. A branch and prune algorithm is modified to a consistency test, which is based on these constraints. Two application scenarios are studied in detail. First, the total energy is employed as a conservation property for the analysis of mechanical systems. It is shown that conservation properties, such as the energy, are applicable to any Hamiltonian system. The second scenario is based on constraints that are derived from decoupling properties, which are considered for a high-dimensional compartment model of granulopoiesis in human blood cell dynamics.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2009, 19, 3; 485-499
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Combined algorithm for finding conservation laws and implectic operators for the Boussinesq-Burgers nonlinear dynamical system and its finite dimensional reductions
Autorzy:: Kindybaliuk, A.
Prytula, M.
Powiązania:: https://bibliotekanauki.pl/articles/122896.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: nonlinear dynamical system
conservation laws
implectic operators
method of undetermined coefficients
differential algebraic algorithm
combined algorithm
finite dimensional reduction
Hamiltonian system
exact solutions
Boussinesq-Burgers equation
nieliniowy układ dynamiczny
prawa zachowania
algebraiczny algorytm różniczkowy
system Hamiltona
rozwiązania dokładne
równanie Boussinesqa-Burgersa
Opis:: In the article the combined algorithm for finding conservation laws and implectic operators has been proposed. Using the Novikov-Bogoyavlensky method the finite dimensional reductions have been found. The structure of invariant submanifolds has been examined. Having analyzed phase portraits of Hamiltonian systems, partial periodical solutions have been found.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 3; 85-99
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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