planar polynomial differential systems Latest Research Papers

Limit cycles of a class of planar polynomial differential systems

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7645 ◽

2021 ◽

Author(s):

Nassima Debz ◽

Amel Boulfoul ◽

Abdelhak Berkane

Keyword(s):

Limit Cycles ◽

Differential Systems ◽

Polynomial Differential Systems ◽

Planar Polynomial Differential Systems

Geometric Configurations of Singularities of Planar Polynomial Differential Systems

10.1007/978-3-030-50570-7 ◽

2021 ◽

Author(s):

Joan C. Artés ◽

Jaume Llibre ◽

Dana Schlomiuk ◽

Nicolae Vulpe

Keyword(s):

Differential Systems ◽

Polynomial Differential Systems ◽

Geometric Configurations ◽

Planar Polynomial Differential Systems

The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2021.1.51 ◽

2021 ◽

pp. 1-12

Author(s):

Vladimir Cheresiz ◽

Evgenii Volokitin

Keyword(s):

Algebraic Curves ◽

Differential Systems ◽

Polynomial Differential Systems ◽

Planar Polynomial Differential Systems

Limit Cycles for a Class of Zp-Equivariant Differential Systems

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127420501151 ◽

2020 ◽

Vol 30 (08) ◽

pp. 2050115

Author(s):

Jing Gao ◽

Yulin Zhao

Keyword(s):

Differential System ◽

Limit Cycles ◽

Melnikov Function ◽

Differential Systems ◽

First Order ◽

Polynomial Differential Systems ◽

Number Of Zeros ◽

Planar Polynomial Differential Systems

In this paper, we study a class of [Formula: see text]-equivariant planar polynomial differential systems [Formula: see text]. It is shown that for any [Formula: see text] there is a differential system of the above type having at least [Formula: see text] limit cycles. This is proved by estimating the number of zeros of the first-order Melnikov function.

New Family of Centers of Planar Polynomial Differential Systems of Arbitrary Even Degree

Journal of Dynamical and Control Systems ◽

10.1007/s10883-019-09432-x ◽

2019 ◽

Vol 25 (4) ◽

pp. 619-630 ◽

Cited By ~ 1

Author(s):

Jaume Llibre ◽

Marzieh Mousavi ◽

Arefeh Nabavi

Keyword(s):

Differential Systems ◽

Polynomial Differential Systems ◽

New Family ◽

Planar Polynomial Differential Systems

LIMIT CYCLES FOR TWO CLASSES OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS WITH UNIFORM ISOCHRONOUS CENTERS

Journal of Applied Analysis & Computation ◽

10.11948/2156-907x.20180189 ◽

2019 ◽

Vol 9 (3) ◽

pp. 943-961 ◽

Cited By ~ 1

Author(s):

Bo Huang ◽

◽

Wei Niu ◽

◽

...

Keyword(s):

Limit Cycles ◽

Differential Systems ◽

Polynomial Differential Systems ◽

Isochronous Centers ◽

Planar Polynomial Differential Systems

Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities

Journal of Differential Equations ◽

10.1016/j.jde.2018.05.019 ◽

2018 ◽

Vol 265 (9) ◽

pp. 3888-3913 ◽

Cited By ~ 7

Author(s):

Jianfeng Huang ◽

Haihua Liang ◽

Jaume Llibre

Keyword(s):

Limit Cycles ◽

Existence And Uniqueness ◽

Differential Systems ◽

Polynomial Differential Systems ◽

Uniqueness Of Limit Cycles ◽

Planar Polynomial Differential Systems

Centers and Uniform Isochronous Centers of Planar Polynomial Differential Systems

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-018-9672-0 ◽

2018 ◽

Vol 30 (3) ◽

pp. 1295-1310 ◽

Cited By ~ 2

Author(s):

Jaume Llibre ◽

Rafael Ramírez ◽

Valentín Ramírez ◽

Natalia Sadovskaia

Keyword(s):

Differential Systems ◽

Polynomial Differential Systems ◽

Isochronous Centers ◽

Planar Polynomial Differential Systems

Normal Forms of Planar Polynomial Differential Systems

Qualitative Theory of Dynamical Systems ◽

10.1007/s12346-018-0273-4 ◽

2018 ◽

Vol 18 (1) ◽

pp. 11-33

Author(s):

Abderrahmane Turqui ◽

Dahira Dali

Keyword(s):

Normal Forms ◽

Differential Systems ◽

Polynomial Differential Systems ◽

Planar Polynomial Differential Systems

Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree~$4$

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj-2016-46-5-1619 ◽

2016 ◽

Vol 46 (5) ◽

pp. 1619-1642

Author(s):

Jaume Llibre ◽

Claudia Valls

Keyword(s):

First Integrals ◽

Differential Systems ◽

Polynomial Differential Systems ◽

Planar Polynomial Differential Systems

planar polynomial differential systems
Recently Published Documents

TOTAL DOCUMENTS

H-INDEX

Limit cycles of a class of planar polynomial differential systems

Geometric Configurations of Singularities of Planar Polynomial Differential Systems

The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities

Limit Cycles for a Class of Zp-Equivariant Differential Systems

New Family of Centers of Planar Polynomial Differential Systems of Arbitrary Even Degree

LIMIT CYCLES FOR TWO CLASSES OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS WITH UNIFORM ISOCHRONOUS CENTERS

Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities

Centers and Uniform Isochronous Centers of Planar Polynomial Differential Systems

Normal Forms of Planar Polynomial Differential Systems

Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree~$4$

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planar polynomial differential systemsRecently Published Documents

TOTAL DOCUMENTS

H-INDEX

Limit cycles of a class of planar polynomial differential systems

Geometric Configurations of Singularities of Planar Polynomial Differential Systems

The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities

Limit Cycles for a Class of Zp-Equivariant Differential Systems

New Family of Centers of Planar Polynomial Differential Systems of Arbitrary Even Degree

LIMIT CYCLES FOR TWO CLASSES OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS WITH UNIFORM ISOCHRONOUS CENTERS

Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities

Centers and Uniform Isochronous Centers of Planar Polynomial Differential Systems

Normal Forms of Planar Polynomial Differential Systems

Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree~$4$

planar polynomial differential systems
Recently Published Documents