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] Ordinary differential equations with applications
CC Chicone - 2006 - Springer
This book is based on a two-semester course in ordinary differential equations that I have
taught to graduate students for two decades at the University of Missouri. The scope of the …
taught to graduate students for two decades at the University of Missouri. The scope of the …
[图书][B] Theory of limit cycles
Y Ye, S Cai - 1986 - books.google.com
Page 1 Theory of Limit Cycles YE YAN-QIAN and Others M Volume 66 TRANSLATIONS OF
MATHEMATICAL MONOGRAPHS American Mathematical Society Page 2 Page 3 Theory of …
MATHEMATICAL MONOGRAPHS American Mathematical Society Page 2 Page 3 Theory of …
[图书][B] Limit cycles of differential equations
C Christopher, C Li, J Torregrosa - 2007 - Springer
My aim in these notes is to consider some of the topics which surround the Poincaré center-
focus problem for polynomial systems. That is, given a polynomial system x= P (x, y), y= Q (x …
focus problem for polynomial systems. That is, given a polynomial system x= P (x, y), y= Q (x …
[图书][B] Geometric configurations of singularities of planar polynomial differential systems
JC Artés, JC Artés - 2021 - Springer
In this book we consider planar polynomial differential systems, ie systems of the form dx dt=
p (x, y), dy dt= q (x, y) where p (x, y), q (x, y) are polynomials in x, y with real coefficients. To …
p (x, y), dy dt= q (x, y) where p (x, y), q (x, y) are polynomials in x, y with real coefficients. To …
Non-autonomous equations related to polynomial two-dimensional systems
MAM Alwash, NG Lloyd - Proceedings of the Royal Society of …, 1987 - cambridge.org
Periodic solutions of certain one-dimensional non-autonomous differential equations are
investigated (equation (1.4)); the independent variable is complex. The motivation, which is …
investigated (equation (1.4)); the independent variable is complex. The motivation, which is …
Transitional waves for conservation laws
EL Isaacson, D Marchesin, BJ Plohr - SIAM journal on mathematical analysis, 1990 - SIAM
A new class of fundamental waves arises in conservation laws that are not strictly
hyperbolic. These waves serve as transitions between wave groups associated with …
hyperbolic. These waves serve as transitions between wave groups associated with …
Limit cycles of polynomial systems-some recent developments
NG Lloyd - London Math. Soc. Lecture Note Ser, 1988 - books.google.com
×= P (x, y), ÿ= Q (x, y)(1) in which P and Q are polynomials. An account is given of some
recent work concerning the number of limit cycles of such systems and their relative …
recent work concerning the number of limit cycles of such systems and their relative …
The number of limit cycles of certain polynomial differential equations
TR Blows, NG Lloyd - Proceedings of the Royal Society of Edinburgh …, 1984 - cambridge.org
Two-dimensional differential systemsare considered, where P and Q are polynomials. The
question of interest is the maximum possible numberof limit cycles of such systems in terms …
question of interest is the maximum possible numberof limit cycles of such systems in terms …
A new dynamical approach of Emden-Fowler equations and systems
MF Bidaut-Veron, H Giacomini - 2010 - projecteuclid.org
We give a new approach to general Emden-Fowler equations and systems of the form (E_ ε)-
Δ _ pu=-\rm div (\left | ∇ u\right |^ p-2 ∇ u)= ε\left | x\right |^ au^ Q,(G)\left {-Δ _ pu=-\rm div …
Δ _ pu=-\rm div (\left | ∇ u\right |^ p-2 ∇ u)= ε\left | x\right |^ au^ Q,(G)\left {-Δ _ pu=-\rm div …