Hilbert's 16th problem and bifurcations of planar polynomial vector fields
J Li - International Journal of Bifurcation and Chaos, 2003 - World Scientific
The original Hilbert's 16th problem can be split into four parts consisting of Problems A–D. In
this paper, the progress of study on Hilbert's 16th problem is presented, and the relationship …
this paper, the progress of study on Hilbert's 16th problem is presented, and the relationship …
[图书][B] Qualitative theory of planar differential systems
Universitext Page 1 123 Universitext Qualitative Theory of Planar Differential Systems Freddy
Dumortier Jaume Llibre Joan C. Artés Page 2 Page 3 123 Freddy Dumortier, Jaume Llibre …
Dumortier Jaume Llibre Joan C. Artés Page 2 Page 3 123 Freddy Dumortier, Jaume Llibre …
On some open problems in planar differential systems and Hilbert's 16th problem
J Giné - Chaos, Solitons & Fractals, 2007 - Elsevier
This review paper contains a brief summary of topics and concepts related with some open
problems of planar differential systems. Most of them are related with 16th Hilbert problem …
problems of planar differential systems. Most of them are related with 16th Hilbert problem …
A survey of isochronous centers
J Chavarriga, M Sabatini - Qualitative theory of dynamical systems, 1999 - Springer
Св и з зйжк н л к в гк жк л г и ж зйаиз г и в в и зий н г зг жгвгйз ви жз г к игж Ќ а з в и да в К
Ь з д д ж гвз зиз г илг д жизК Св и Ќжзи гв Дз и гвз Оп ЕИ л ж к л згб в ж а и в ей з и и джгк …
Ь з д д ж гвз зиз г илг д жизК Св и Ќжзи гв Дз и гвз Оп ЕИ л ж к л згб в ж а и в ей з и и джгк …
[图书][B] Integrability of dynamical systems: algebra and analysis
X Zhang - 2017 - Springer
The theory of integrability plays an important role in the study of the dynamics of differential
systems. This theory is related to several branches of mathematics, such as algebraic …
systems. This theory is related to several branches of mathematics, such as algebraic …
Solution of the problem of the centre for cubic differential system with three invariant straight lines in generic position
For cubic differential system with three invariant straight lines such that not one pair of the
lines is parallel and no more than two lines pass through the same point (in generic position) …
lines is parallel and no more than two lines pass through the same point (in generic position) …
Center problem for several differential equations via Cherkas' method
A Gasull, J Torregrosa - Journal of Mathematical Analysis and Applications, 1998 - Elsevier
Cherkas' method characterizes centers for analytic Liénard differential equations. We extend
his method to degenerate Liénard differential equations and we apply this extension to solve …
his method to degenerate Liénard differential equations and we apply this extension to solve …
On integrability of differential equations defined by the sum of homogeneous vector fields with degenerate infinity
The paper deals with polynomials systems with degenerate infinity from different points of
view. We show the utility of the projective techniques for such systems, and a more detailed …
view. We show the utility of the projective techniques for such systems, and a more detailed …
[PDF][PDF] Some open problems related to 16th Hilbert problem
J Chavarriga, M Grau - Sci. Ser. A Math. Sci.(NS), 2003 - Citeseer
This article contains a brief summary of the topics and concepts related to 16b Hilbert
problem which refers to the existence of a bound on the number of limit cycles of a …
problem which refers to the existence of a bound on the number of limit cycles of a …
The problem of the centre for cubic systems with two parallel invariant straight lines and one invariant conic
D Cozma - Nonlinear Differential Equations and Applications …, 2009 - Springer
The Problem of the Centre for Cubic Systems with Two Parallel Invariant Straight Lines and
One Invariant Conic Page 1 Nonlinear differ. equ. appl. 16 (2009), 213–234 c© 2009 …
One Invariant Conic Page 1 Nonlinear differ. equ. appl. 16 (2009), 213–234 c© 2009 …