Results 11 to 20 of about 4,930,166 (237)
Perturbation of a Period Annulus with a Unique Two-Saddle Cycle in Higher Order Hamiltonian
Complexity, 2019 In this paper, we study the number of limit cycles emerging from the period annulus by perturbing the Hamiltonian system x˙=y,y˙=x(x2-1)(x2+1)(x2+2). The period annulus has a heteroclinic cycle connecting two hyperbolic saddles as the outer boundary.
Hongying Zhu +3 more
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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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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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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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Brazilian Journal of Cardiovascular Surgery, 2015 Introduction:Mitral valve repair is the treatment of choice to correct mitral insufficiency, although the literature related to mitral valve annulus behavior after mitral repair without use of prosthetic rings is scarce.Objective:To analyze mitral ...
Marco Antônio Vieira Guedes +6 more
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Computational simulation of the intervertebral disc [PDF]
, 2013 The intervertebral disc is a complex structure unlike any other in the human body. The capability to withstand high loads and deformations in six degrees of freedom is facilitated by the unique soft tissue structures. However, the mechanical behaviour of
Luxmoore, Bethany Jane
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The cyclicity of the period annulus of a reversible quadratic system [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2021 We prove that perturbing the periodic annulus of the reversible quadratic polynomial differential system $\dot x=y+ax^2$, $\dot y=-x$ with a ≠ 0 inside the class of all quadratic polynomial differential systems we can obtain at most two limit cycles, including their multiplicities.
Liu, Changjian +2 more
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On the maximum number of period annuli for second order conservative equations
Mathematical Modelling and Analysis, 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.
Armands Gritsans, Inara Yermachenko
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Dynamics of annulus maps II: Periodic points for coverings [PDF]
Fundamenta Mathematicae, 2016 Summary: Let \(f\) be a covering map of the open annulus \(A= S^1\times (0,1)\) of degree \(d\), \(|d| > 1\). Assume that \(f\) preserves an essential (i.e not contained in a disk of \(A\)) compact subset \(K\). We show that \(f\) has at least the same number of periodic points in each period as the map \(z^d\) on \(S^1.\)
Iglesias, Jorge +3 more
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Action and periodic orbits on annulus
, 2021 14 ...
Deng, Yanxia, Xia, Zhihong
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