Results 21 to 30 of about 25,399 (257)
Frontiers in Cardiovascular Medicine, 2022 ObjectiveThe objective of this study was to observe the safety and efficacy of electrophysiological mapping following the Cox-Maze IV procedure and to investigate whether a correlation exists between recurrence of atrial fibrillation (AF) with the ...
Zhishan Sun +7 more
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Existence of non-contractible periodic orbits for homeomorphisms of the open annulus [PDF]
Mathematische Zeitschrift, 2019 In this article we consider homeomorphisms of the open annulus $\mathbb{A}=\mathbb{R}/\mathbb{Z}\times \mathbb{R}$ which are isotopic to the identity and preserve a Borel probability measure of full support, focusing on the existence of non-contractible periodic orbits.
Conejeros, Jonathan, Tal, Fábio Armando
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Hilbert’s 16th problem on a period annulus and Nash space of arcs [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2019 AbstractThis paper introduces an algebro-geometric setting for the space of bifurcation functions involved in the local Hilbert’s 16th problem on a period annulus. Each possible bifurcation function is in one-to-one correspondence with a point in the exceptional divisorEof the canonical blow-upBIℂnof the Bautin idealI.
Gavrilov, Lubomir +2 more
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Solutions of two-point boundary value problems via phase-plane analysis
Electronic Journal of Qualitative Theory of Differential Equations, 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.
Svetlana Atslega, Felix Sadyrbaev
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S-shaped bifurcations in a two-dimensional Hamiltonian system
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We study the solutions to the following Dirichlet boundary problem: \begin{equation*}\frac{d^2x(t)}{dt^2}+\lambda f(x(t))=0,\end{equation*} where $x \in \mathbb{R}$, $t \in \mathbb{R}$, $\lambda \in \mathbb{R}^+$, with boundary conditions: \begin ...
Andre Zegeling, Paul Zegeling
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Analytic Tools to Bound the Criticality at the Outer Boundary of the Period Annulus [PDF]
Journal of Dynamics and Differential Equations, 2016 In this paper we consider planar potential differential systems and we study the bifurcation of critical periodic orbits from the outer boundary of the period annulus of a center. In the literature the usual approach to tackle this problem is to obtain a uniform asymptotic expansion of the period function near the outer boundary.
F. Mañosas, D. Rojas, J. Villadelprat
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Frontiers in Energy Research, 2022 The integrity of cement sheath seals in casing connection sections is an important part of preventing air channelization. It is of great significance to evaluate the failure mechanism of cement sheath seals in casing connection sections under complex ...
Zhong Li, Yi Wu, Renjun Xie, Zhiqiang Wu
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The bifurcation of limit cycles of two classes of cubic systems with homogeneous nonlinearities
Electronic Journal of Qualitative Theory of Differential Equations, 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 ...
Yi Shao, Yongzeng Lai, Chunxiang A
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Rotation sets and monotone periodic orbits for annulus homeomorphisms [PDF]
Commentarii Mathematici Helvetici, 1992 This paper is about the existence of periodic points for homeomorphisms of the annulus and contains an affirmative answer to a question posed by \textit{G. R. Hall} [Contemp. Math. 81, 135--152 (1988; Zbl 0677.58026)]. Using Thurston-Nielsen theory for surface homeomorphisms, the following theorem is proved: If \(f\) is an orientation and boundary ...
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Shape and period of limit cycles bifurcating from a class of Hamiltonian period annulus [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2013 In this work we are concerned with the problem of shape and period of isolated periodic solutions of perturbed analytic radial Hamiltonian vector fields in the plane. Fran¸coise develop a method to obtain the first non vanishing Poincaré-Pontryagin-Melnikov function.
Prohens, Rafel, Torregrosa, Joan
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