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Variant scoring tools for deep mutational scanning. [PDF]
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Kinesiophobia in patients with heart failure: concept analysis using Rodgers' evolutionary approach. [PDF]
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Equivalence of the Melnikov Function Method and the Averaging Method
Qualitative Theory of Dynamical Systems, 2015In this paper, the authors study the problem of equivalence between the Melnikov method and the averaging method for studying the number of limit cycles which can bifurcate from the period annulus of planar analytic differential systems.
Xiang Zhang +2 more
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Melnikov vector function for high-dimensional maps
Physics Letters, Section A: General, Atomic and Solid State Physics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Melnikov function and limit cycle bifurcation from a nilpotent center [PDF]
We investigate a general near-Hamiltonian system on the plane whose unperturbed system has a nilpotent center. Our main purpose is to give an algorithm for calculating the first coefficients of the expansion of the first order Melnikov function.
Jiao Jiang, Maoan Han
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Chaotic heteroclinic tangles with the degenerate Melnikov function
Nonlinear Dynamics, 2022Yi Zhong
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Existence of at Most 1, 2, or 3 Zeros of a Melnikov Function and Limit Cycles [PDF]
We investigate the existence of at most one, two, or three limit cycles bifurcated from a periodic annulus of a Hamiltonian system under a class of perturbations and obtain some sufficient conditions which ensure that the corresponding Melnikov function ...
Maoan Han
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Melnikov function and Poincaré map
Applied Mathematics and Mechanics, 1988The following ODE is investigated: \(x''+g(x)=\epsilon \mu f(x,x')+\epsilon \delta h(x,x',\omega t)\) where \(h(x,x',\omega t)\) is periodic in t. A relationship between the Melnikov function and the Poincaré mapping is established and a new proof for the Melnikov method is given. Some illustrative examples are also presented.
Xu, Zhenyuan, Li, Li
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MELNIKOV FUNCTIONS AND PERTURBATION OF A PLANAR HAMILTONIAN SYSTEM
Chinese Annals of Mathematics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Qibao, Han, Mao'an
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