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Engineered mRNA-ribosome fusions for facile biosynthesis of selenoproteins. [PDF]
Thaenert A +5 more
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Spatial and Temporal Dynamics of Birch-Mining Eriocrania Moths in an Urban Landscape over Four Decades. [PDF]
Kozlov MV +3 more
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Antagonistic Effects of Corynebacterium pseudodiphtheriticum 090104 on Respiratory Pathogens. [PDF]
Ortiz Moyano R +9 more
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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.
Maoan Han +2 more
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Melnikov vector function for high-dimensional maps
Physics Letters A, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Chaotic heteroclinic tangles with the degenerate Melnikov function
Nonlinear Dynamics, 2022Yi Zhong, Fengjuan Chen
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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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Second order Melnikov function and its application
Physics Letters A, 1990Abstract Based on Melnikov's method, the second order Melnikov function for the study of subharmonic and ultrasubharmonic orbits in a class of planar Hamiltonian systems is derived. Using this function the existence criterion of subharmonic and ultrasubharmonic orbits is set. A nonlinear oscillator subject to perturbation as example is discussed.
Zengrong Liu, Guoqing Gu
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Some properties of Melnikov functions near a cuspidal loop
Science China Mathematics, 2023Limit cycle bifurcations of a near-Hamiltonian system near a cuspidal loop is studied. A method using first-order Melnikov functions is employed. A general method to obtain the number of limit cycles near the cuspidal loop is presented. The results are exemplified on a Liénard-like system.
Yang, Junmin, Han, Maoan
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