Search Results - POLYNOMIALS

1

Academic Journal

On the indices of singular points for planar bounded piecewise smooth polynomial vector field

Authors: Li, Shimin, Llibre, Jaume, Sun, Xianbo

Subject Terms: Bounded vector field, Index of singular points, Piecewise smooth polynomial vector field, Stereographic projection

Relation: Agencia Estatal de Investigación PID2019-104658GB-I00; European Commission 777911; Nonlinear Analysis: Hybrid Systems; Vol. 49 (August 2023), art. 101350; https://ddd.uab.cat/record/281994; urn:10.1016/j.nahs.2023.101350; urn:oai:ddd.uab.cat:281994; urn:scopus_id:85151798112; urn:articleid:1751570Xv49p101350; urn:oai:egreta.uab.cat:publications/e0dfbc44-532b-40b3-ab43-4b1a12f83d73; urn:gsduab:5538; urn:wos_id:001055364200001

Availability: https://ddd.uab.cat/record/281994

2

Academic Journal

Uniqueness of the limit cycles for complex differential equations with two monomials

Authors: Álvarez Torres, María Jesús, Gasull, Armengol, Prohens, Rafel

Subject Terms: Polynomial differential equation, Uniqueness of limit cycles, Centre-focus problem

File Description: application/pdf

Relation: Agencia Estatal de Investigación PID2020-118726GB-I00; Agencia Estatal de Investigación PID2019-104658GB-I00; Agencia Estatal de Investigación CEX2020-001084-M; Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617; Journal of mathematical analysis and applications; Vol. 518, Issue 1 (February 2023), art. 126663; https://ddd.uab.cat/record/267124; urn:10.1016/j.jmaa.2022.126663; urn:oai:ddd.uab.cat:267124; urn:scopus_id:85138109420; urn:articleid:10960813v518n1p126663; urn:gsduab:5580; urn:oai:egreta.uab.cat:publications/be1e3603-46ea-4079-aea4-e1b19ebbfc69

Availability: https://ddd.uab.cat/record/267124

3

Academic Journal

Invariants of polynomial vector fields

Authors: Llibre, Jaume, Valls, Clàudia

Subject Terms: Polynomial systems, Invariants, First integrals, Involutions

Relation: Agencia Estatal de Investigación PID2019-104658GB-I00; European Commission 777911; Agència de Gestió d'Ajuts Universitaris i de Recerca 2022/SGR-00113; Journal of differential equations; Vol. 365 (August 2023), p. 895-904; https://ddd.uab.cat/record/281985; urn:10.1016/j.jde.2023.05.024; urn:oai:ddd.uab.cat:281985; urn:scopus_id:85160274070; urn:articleid:10902732v365p895; urn:oai:egreta.uab.cat:publications/6d63312b-d4ca-4172-ba6b-10c27dec3012; urn:gsduab:5701; urn:wos_id:001012736200001

Availability: https://ddd.uab.cat/record/281985

4

Academic Journal

Limit Cycles of Polynomially Integrable Piecewise Differential Systems

Authors: García, Belén, Llibre, Jaume, Pérez del Río, Jesús S., Pérez-González, Set

Subject Terms: Algebraic limit cycle, Piecewise differential system, Polynomial integrable systems

File Description: application/pdf

Relation: Agencia Estatal de Investigación PID2020-113052GB-I00; Agencia Estatal de Investigación PID2019-104658GB-I00; European Commission 777911; Agència de Gestió d'Ajuts Universitaris i de Recerca 2022/SGR-00113; Axioms; Vol. 12, Issue 4 (March 2023), art. 342; https://ddd.uab.cat/record/275853; urn:10.3390/axioms12040342; urn:oai:ddd.uab.cat:275853; urn:oai:egreta.uab.cat:publications/c432a25a-1330-4c7d-a682-f3f42aad3da2; urn:pure_id:338613560; urn:scopus_id:85153746455; urn:articleid:20751680v12n4p342; urn:gsduab:5743

Availability: https://ddd.uab.cat/record/275853

5

Academic Journal

Algebraic and topological classification of homogeneous quartic vector fields in the plane

Authors: Llibre, Jaume, Martínez, Y. Paulina, Vidal, Claudio

Subject Terms: Quartic homogeneous polynomial differential systems, Homogeneous polynomial vector fields, Phase portraits

File Description: application/pdf

Relation: Agencia Estatal de Investigación PID2019-104658GB-I00; Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617; European Commission 777911; Annali di Matematica Pura ed Applicata; Vol. 201, Issue 1 (February 2022), p. 37-55; https://ddd.uab.cat/record/257100; urn:10.1007/s10231-021-01106-5; urn:oai:ddd.uab.cat:257100; urn:scopus_id:85104107086; urn:articleid:16181891v201n1p37; urn:gsduab:4665; urn:oai:egreta.uab.cat:publications/4ef2bffd-34a5-42ba-92a2-dfd3bfc6ef3a

Availability: https://ddd.uab.cat/record/257100

6

Academic Journal

Criteria on the existence of limit cycles in planar polynomial differential systems

Authors: Giné, Jaume, Grau, Maite, Llibre, Jaume

Subject Terms: Polynomial differential system, Limit cycle, Differential equation on the cylinder, Abel differential equation

File Description: application/pdf

Relation: Agencia Estatal de Investigación PID2020-113758GB-I00; Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1276; Agencia Estatal de Investigación PID2019-104658GB-I00; European Commission 777911; Expositiones Mathematicae; Vol. 40, Issue 4 (December 2022), p. 1049-1083; https://ddd.uab.cat/record/281989; urn:10.1016/j.exmath.2022.09.002; urn:oai:ddd.uab.cat:281989; urn:scopus_id:85142320111; urn:articleid:07230869v40n4p1049; urn:oai:egreta.uab.cat:publications/71a68c18-154e-4492-ba56-944d8bf9cc99; urn:gsduab:5603

Availability: https://ddd.uab.cat/record/281989

7

Academic Journal

Twin polynomial vector fields of arbitrary degree

Authors: Llibre, Jaume, Valls, Clàudia

Subject Terms: Euler-Jacobi formula, Singular points, Topological index, Polynomial differential systems, Berlinskii's Theorem

File Description: application/pdf

Relation: Agencia Estatal de Investigación PID2019-104658GB-I00; Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617; European Commission 777911; Bulletin of the Brazilian Mathematical Society; Vol. 53, Issue 1 (March 2022), p. 295-306; https://ddd.uab.cat/record/259914; urn:10.1007/s00574-021-00259-4; urn:oai:ddd.uab.cat:259914; urn:scopus_id:85105887335; urn:articleid:16787544v53n1p295; urn:gsduab:5039; urn:oai:egreta.uab.cat:publications/b5d60212-2516-4244-959c-7d9ecde2d11a

Availability: https://ddd.uab.cat/record/259914

8

Academic Journal

A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves

Authors: Giné, Jaume, Llibre, Jaume

Subject Terms: Liénard polynomial differential systems, Invariant algebraic curve, First integrals

File Description: application/pdf

Relation: Agencia Estatal de Investigación PID2020-113758GB-I00; Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1276; Agencia Estatal de Investigación PID2019-104658GB-I00; European Commission 777911; Chaos, solitons and fractals; Vol. 158 (May 2022), art. 112075; https://ddd.uab.cat/record/259919; urn:10.1016/j.chaos.2022.112075; urn:oai:ddd.uab.cat:259919; urn:scopus_id:85129318077; urn:articleid:09600779v158p112075; urn:gsduab:5596; urn:oai:egreta.uab.cat:publications/ca475285-4a56-4bfa-a3d4-f6c5f92c0fc7

Availability: https://ddd.uab.cat/record/259919

9

Academic Journal

Polynomial homogeneous maps and their periods

Authors: Llibre, Jaume, Pilyugina, Violetta

Subject Terms: Homogeneous polynomial map, Period, Set of periods, Self-maps of a sphere

File Description: application/pdf

Relation: Agencia Estatal de Investigación PID2019-104658GB-I00; European Commission 777911; Journal of Nonlinear Modeling and Analysis; Vol. 4, Issue 4 (December 2022), p. 1-11; https://ddd.uab.cat/record/258888; urn:10.12150/jnma.2022.1; urn:oai:ddd.uab.cat:258888; urn:10.12150/jnma.2022.753; urn:gsduab:5556; urn:oai:egreta.uab.cat:publications/fbc4f365-c8be-4543-bc4f-80d04c0c08e2; urn:scopus_id:85141324345

Availability: https://ddd.uab.cat/record/258888

10

Academic Journal

Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields

Authors: Corbera Subirana, Montserrat, Valls, Clàudia

Subject Terms: Polynomial Hamiltonian systems, Nilpotent saddle, Phase portrait, Poincaré compactification

Relation: Agencia Estatal de Investigación MTM2016-77278-P; Agencia Estatal de Investigación PID2019-104658GB-I00; Nonlinear Analysis: Real World Applications; Vol. 64 (April 2022), art. 103451; https://ddd.uab.cat/record/257113; urn:10.1016/j.nonrwa.2021.103451; urn:oai:ddd.uab.cat:257113; urn:scopus_id:85118543090; urn:articleid:14681218v64p103451; urn:gsduab:4956

Availability: https://ddd.uab.cat/record/257113

11

Academic Journal

Evaluation of polynomials over finite rings via additive combinatorics

Authors: Károlyi, Gyula, Szabó, Csaba

Subject Terms: Additive combinatorics, Chevalley's theorem, Dichotomy, Nilpotent rings, Olson's theorem, Polynomial method, Equation solvability problem

File Description: application/pdf

Relation: Publicacions matemàtiques; Vol. 66 Núm. 1 (2022), p. 197-205; https://ddd.uab.cat/record/251858; urn:10.5565/PUBLMAT6612208; urn:oai:ddd.uab.cat:251858; urn:oai:raco.cat:article/396443; urn:articleid:20144350v66n1p197

Availability: https://ddd.uab.cat/record/251858

12

Academic Journal

Group invariant separating polynomials on a Banach space

Authors: Falcó, Javier, Garcia, Domingo, Maestre, Manuel, Jung, Mingu

Subject Terms: Group-invariant, Separation theorem, Polynomials, Banach space

File Description: application/pdf

Relation: Ministerio de Economía y Competitividad MTM2017-83262-C2-1-P; Publicacions matemàtiques; Vol. 66 Núm. 1 (2022), p. 207-233; https://ddd.uab.cat/record/251937; urn:10.5565/PUBLMAT6612209; urn:oai:ddd.uab.cat:251937; urn:oai:raco.cat:article/396446; urn:articleid:20144350v66n1p207

Availability: https://ddd.uab.cat/record/251937

13

Academic Journal

On a class of polynomial differential systems of degree 4 : Phase portraits and limit cycles

Authors: Llibre, Jaume, Salhi, Tayeb

Subject Terms: Polynomial differential systems, Polynomial vector fields, Phase portraits, Centers, Limit cycles

File Description: application/pdf

Relation: Agencia Estatal de Investigación MTM2016-77278-P; Ministerio de Economía y Competitividad MDM-2014-0445; Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617; European Commission 777911; Topological Methods in Nonlinear Analysis; Vol. 57, Issue 2 (June 2021), p. 441-463; https://ddd.uab.cat/record/259917; urn:10.12775/TMNA.2020.042; urn:oai:ddd.uab.cat:259917; urn:scopus_id:85111685462; urn:articleid:12303429v57n2p441; urn:gsduab:4856; urn:oai:egreta.uab.cat:publications/ab362f09-84d0-4bea-839d-140a7bc28bb1

Availability: https://ddd.uab.cat/record/259917

14

Academic Journal

Generalized analytic integrability of a class of polynomial differential systems in C2

Authors: Llibre, Jaume, Tian, Yuzhou

Subject Terms: Polynomial systems, Generalized analytic integrability, Polynomial first integrals, Residue

File Description: application/pdf

Relation: Ministerio de Ciencia e Innovación MTM2016-77278-P; Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617; European Commission 777911; Acta Applicandae Mathematicae; Vol. 173, Issue 1 (June 2021), art. 1; https://ddd.uab.cat/record/257125; urn:10.1007/s10440-021-00407-4; urn:oai:ddd.uab.cat:257125; urn:scopus_id:85104981625; urn:gsduab:5488; urn:oai:egreta.uab.cat:publications/ae51009a-b913-4558-975d-99e609e50585

Availability: https://ddd.uab.cat/record/257125

15

Academic Journal

Limit cycles of a perturbation of a polynomial Hamiltonian systems of degree 4 symmetric with respect to the origin

Authors: Llibre, Jaume, Martínez, Y. Paulina, Vidal, Claudio

Subject Terms: Hamiltonian system, Linear type center, Quartic polynomial, Polynomial vector field, Phase portrait

File Description: application/pdf

Relation: Agencia Estatal de Investigación MTM2016-77278-P; Agencia Estatal de Investigación MDM-2014-0445; Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617; European Commission 777911; Canadian mathematical bulletin; Vol. 63, Issue 3 (September 2020), p. 547-561; https://ddd.uab.cat/record/259921; urn:10.4153/S0008439519000626; urn:oai:ddd.uab.cat:259921; urn:scopus_id:85091818696; urn:articleid:14964287v63n3p547; urn:gsduab:5064; urn:oai:egreta.uab.cat:publications/25114ee1-257a-4695-9d4c-1fab5000cd30

Availability: https://ddd.uab.cat/record/259921

16

Academic Journal

Limit cycles of piecewise polynomial perturbations of higher dimensional lineal differential systems

Authors: Llibre, Jaume, Novaes, Douglas D., Zeli, Iris O.

Subject Terms: Averaging method, Filippov system, Limit cycle, Nonsmooth dynamical system, Nonsmooth polynomial differential systems, Periodic orbit, Polynomial differential system

File Description: application/pdf

Relation: Ministerio de Economía y Competitividad MTM2016-77278-P; Ministerio de Economía y Competitividad MTM2013-40998-P; Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-0410; Revista Matemática Iberoamericana; Vol. 36, Núm. 1 (2020), p. 291-318; https://ddd.uab.cat/record/224217; urn:10.4171/rmi/1131; urn:oai:ddd.uab.cat:224217; urn:gsduab:4936; urn:articleid:02132230v36n1p291; urn:oai:egreta.uab.cat:publications/8d47e9b8-1606-4d2c-a890-ffd56a784a47; urn:scopus_id:85078282451

Availability: https://ddd.uab.cat/record/224217

17

Academic Journal

On the polynomial solutions of the polynomial differential equations y y' = a 0(x) + a 1(x) y + a 2(x) y 2 + … + an(x) y n

Authors: Ferragut Amengual, Antoni Manel, Llibre, Jaume

Subject Terms: Polynomial differential equation, Polynomial solution, Linear differential equation, Riccati differential equation, Abel differential equation

File Description: application/pdf

Relation: Ministerio de Economía y Competitividad MTM2016-77278-P; Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568; Ministerio de Economía y Competitividad MTM2013-40998-P; European Commission 318999; Indian Journal of Pure and Applied Mathematics; Vol. 51, Issue 1 (March 2020), p. 217-232; https://ddd.uab.cat/record/221356; urn:10.1007/s13226-020-0396-6; urn:oai:ddd.uab.cat:221356; urn:scopus_id:85081719192; urn:articleid:09757465v51n1p217; urn:gsduab:4382; urn:wos_id:000519450400016; urn:oai:egreta.uab.cat:publications/4f2a44a4-33c3-4625-935e-8aee556a1a4e

Availability: https://ddd.uab.cat/record/221356

18

Academic Journal

The generic dimension of spaces of A-harmonic polynomials

Authors: Rabier, Patrick J.

Subject Terms: Differential operator, Polynomial, Regular sequence, Hilbert function, Fröberg conjecture, Finite difference operator, Polynomial-exponential

File Description: application/pdf

Relation: Publicacions matemàtiques; Vol. 64 Núm. 1 (2020), p. 157-182; https://ddd.uab.cat/record/218568; urn:10.5565/PUBLMAT6412007; urn:oai:ddd.uab.cat:218568; urn:oai:raco.cat:article/362892; urn:articleid:20144350v64n1p157; urn:scopus_id:85078721419

Availability: https://ddd.uab.cat/record/218568

19

Academic Journal

Key polynomials over valued fields

Authors: Nart, Enric

Subject Terms: Graded algebra, Key polynomial, Maclane chain, Residual ideal, Residual polynomial, Valuation

File Description: application/pdf

Relation: Ministerio de Educación y Ciencia MTM2016-75980-P; Publicacions matemàtiques; Vol. 64 Núm. 1 (2020), p. 195-232; https://ddd.uab.cat/record/218570; urn:10.5565/PUBLMAT6412009; urn:oai:ddd.uab.cat:218570; urn:oai:raco.cat:article/362894; urn:articleid:20144350v64n1p195; urn:scopus_id:85072852210

Availability: https://ddd.uab.cat/record/218570

20

Academic Journal

Solving polynomials with ordinary differential equations

Authors: Gasull, Armengol, Giacomini, Hector

Subject Terms: Polynomial equation, Ordinary differential equation, Abel equations, Elliptic and hyperelliptic integrals

File Description: application/pdf

Relation: Agencia Estatal de Investigación PID2019-104658GB-I00; Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617; Expositiones Mathematicae; Vol. 39, Issue 4 (December 2021), p. 624-643; https://ddd.uab.cat/record/258226; urn:10.1016/j.exmath.2021.06.001; urn:oai:ddd.uab.cat:258226; urn:scopus_id:85119228556; urn:articleid:07230869v39n4p624; urn:gsduab:5033; urn:oai:egreta.uab.cat:publications/723ba505-3f84-47bd-bce2-af82e5eb4654

Availability: https://ddd.uab.cat/record/258226

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