Výsledky vyhledávání - "Natalia Sadovskaia"

A new approach to the vakonomic mechanics

Autor: Natalia Sadovskaia, Jaume Llibre, Rafael Ramírez

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Nonlinear Dynamics
Repositori Institucional de la Universitat Rovira i Virgili
Universitat Rovira i virgili (URV)
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Universitat Jaume I

Agraïments: The second author was partly supported by the Spanish Ministry of Education through projects TSI2007-65406-C03-01 "E-AEGIS" and Consolider CSD2007-00004 "ARES" The aim of this paper is to show that the Lagrange-d'Alembert and its equival

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ee3e770771bf37c81ad723971b4e5c0
http://hdl.handle.net/2072/410653

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Centers and Uniform Isochronous Centers of Planar Polynomial Differential Systems

Autor: Jaume Llibre, Valentín Ramírez, Natalia Sadovskaia, Rafael Ramírez

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

For planar polynomial vector fields of the form $$\begin{aligned} (-y+X(x,y))\dfrac{\partial }{\partial x}+(x+Y(x,y))\dfrac{\partial }{\partial y}, \end{aligned}$$ where X and Y start at least with terms of second order in the variables x and y, we d

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35ccc49f43ec6ef09fc951025c1ec854
https://doi.org/10.1007/s10884-018-9672-0

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Differential equations with a given set of solutions

Autor: Natalia Sadovskaia, Rafael Ramírez, Jaume Llibre

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

The aim of this paper is to study the following inverse problem of ordinary differential equations: For a given set of analytic functions ω = { z 1 ( t ) , … , z r ( t ) } , with z j ( t ) = x j ( t ) + i y j ( t ) and z ¯ j ( t ) = x j ( t ) −

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::acaf336e133ae4fecd7c3d75330e07a6
https://doi.org/10.1016/j.amc.2019.124659

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Planar Vector Fields with a Given Set of Orbits

Autor: Rafael Ramírez, Jaume Llibre, Natalia Sadovskaia

We determine all the ${\mathcal{C}^1}$ planar vector fields with a given set of orbits of the form y − y(x) = 0 satisfying convenient assumptions. The case when these orbits are branches of an algebraic curve is also study. We show that if a quad

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e86d0627394d37840cc38362a0891a23
https://doi.org/10.1007/s10884-011-9219-0

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The 16th Hilbert problem restricted to circular algebraic limit cycles

Autor: Rafael Ramírez, Jaume Llibre, Natalia Sadovskaia, Valentín Ramírez

Publikováno v: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)

Agraïments: FEDER-UNAB10-4E-378 and Consolider CSD2007-00004 "ES" We prove the following two results. First every planar polynomial vector field of degree S with S invariant circles is Darboux integrable without limit cycles. Second a planar polynom

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50889955a067ca02d434fbd9ba441c21
https://ddd.uab.cat/record/169450

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Inverse problems in the theory of analytic planar vector

Autor: Rafael Orlando Ramírez Inostroza, Natalia Sadovskaia Nurimanova

Publikováno v: Revista Matemática Iberoamericana. :481-517

In this communication we state and analyze the new inverse problems in the theory of differential equations related to the construction of an analytic planar verctor field from a given, finite number of solutions, trajectories or partial integrals. L

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::302060a9b7751117af8bb6838cc832f7
https://doi.org/10.4171/rmi/243

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Inverse Approach in Ordinary Differential Equations: Applications to Lagrangian and Hamiltonian Mechanics

Autor: Natalia Sadovskaia, Jaume Llibre, Rafael Ramírez

Publikováno v: Journal Of Dynamics And Differential Equations
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Repositori Institucional de la Universitat Rovira i Virgili
Consejo Superior de Investigaciones Científicas (CSIC)
Recercat. Dipósit de la Recerca de Catalunya
instname

Agraïments: The second author was partly supported by the Spanish Ministry of Education through projects TSI2007-65406-C03-01 "E-AEGIS" and Consolider CSD2007-00004 "ARES". This paper is on the so called inverse problem of ordinary differential syst

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea7d275068e21d6e38cecc991f54c631
http://hdl.handle.net/20.500.11797/PC1117

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Integrability of the constrained rigid body

Autor: Jaume Llibre, Rafael Ramírez, Natalia Sadovskaia

Publikováno v: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname

The integration theory of the differential equations which describe the motion of a mechanical system with constraints (constrained mechanical system) is not so complete as for mechanical systems without constraints (unconstrained mechanical systems)

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9eb8caea9e46ed67ea8220da3a8fbfb1
https://ddd.uab.cat/record/150589

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On the construction of dynamic systems from given integrals

Autor: Rafael Ramírez, Natalia Sadovskaia

Publikováno v: Celestial Mechanics & Dynamical Astronomy. 63:149-170

In this communication we propose a new approach for studying a particular type of inverse problems in mechanics related to the construction of a force field from given integrals. An extension of the Danielli problem is obtained. The given results are

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::64488e3970edb3c5aa22ad6bd00e976e
https://doi.org/10.1007/bf00693411

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