Zobrazeno 1 - 10
of 116
pro vyhledávání: '"period annulus"'
Autor:
Armands Gritsans, Inara Yermachenko
Publikováno v:
Mathematical Modelling and Analysis, Vol 26, Iss 4, Pp 612-630 (2021)
We consider a second order scalar conservative differential equation whose potential function is a Morse function with a finite number of critical points and is unbounded at infinity. We give an upper bound for the number of nonglobal nontrivial peri
Externí odkaz:
https://doaj.org/article/fc54a7ad90ec49ea83dc9abd3dc3d582
Autor:
Shaoqing Wang, Jiazhong Yang
Publikováno v:
Electronic Journal of Differential Equations, Vol 2020, Iss 79,, Pp 1-12 (2020)
In this article, we study a rich and complex phenomena of planar piecewise linear systems having two domains of which the separation curves are not straight. We show that for positive integers n and m and non-negative integers $n_1,n_2,\ldots,n_m$
Externí odkaz:
https://doaj.org/article/89190879dd8e4de3b212dced5580d111
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2019, Iss 50, Pp 1-15 (2019)
In this paper, we study the bifurcation of limit cycles of the periodic annulus of two classes of cubic isochronous systems. By using complete elliptic integrals of the first, second kinds and the Chebyshev criterion, we show that the upper bound for
Externí odkaz:
https://doaj.org/article/95e9b0a16f9f437b91a9a737dacac5db
Publikováno v:
Proceedings of the American Mathematical Society, 2006 Feb 01. 134(2), 531-539.
Externí odkaz:
https://www.jstor.org/stable/4098316
Akademický článek
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Autor:
Svetlana Atslega, Felix Sadyrbaev
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 4, Pp 1-10 (2016)
We consider period annuli (continua of periodic solutions) in equations of the type $x''+g(x)=0$ and $x''+f(x) x'^2 + g(x)= 0,$ where $g$ and $f$ are polynomials. The conditions are provided for existence of multiple nontrivial (encircling more than
Externí odkaz:
https://doaj.org/article/2a94247fd3b34194a792b43e7cb6bdfc
Akademický článek
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Autor:
Inara Yermachenko, Armands Gritsans
Publikováno v:
Mathematical Modelling and Analysis, Vol 26, Iss 4, Pp 612-630 (2021)
Mathematical Modelling and Analysis; Vol 26 No 4 (2021); 612-630
Mathematical Modelling and Analysis; Vol 26 No 4 (2021); 612-630
We consider a second order scalar conservative differential equation whose potential function is a Morse function with a finite number of critical points and is unbounded at infinity. We give an upper bound for the number of nonglobal nontrivial peri
Autor:
Linping Peng, Zhaosheng Feng
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 111,, Pp 1-27 (2015)
This article concerns the bifurcation of limit cycles from a cubic integrable and non-Hamiltonian system. By using the averaging theory of the first and second orders, we show that under any small cubic homogeneous perturbation, at most two limit
Externí odkaz:
https://doaj.org/article/d4021f2102d4415f890a14b6899f1285
Autor:
Linping Peng, Zhaosheng Feng
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 95,, Pp 1-14 (2014)
This article concerns the bifurcation of limit cycles for a quartic system with an isochronous center. By using the averaging theory, it shows that under any small quartic homogeneous perturbations, at most two limit cycles bifurcate from the peri
Externí odkaz:
https://doaj.org/article/304757c7f3de49efb64e9b70aa39c564