Results 1 to 10 of about 269 (98)
Melnikov’s method in String Theory [PDF]
Journal of High Energy Physics, 2016 37 pages, 5 ...
Asano, Yuhma +2 more
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On the Melnikov function [PDF]
ریاضی و جامعه, 2023 In this article, we have tried to introduce one of the most important topics in the subject of dynamical systems, namely the Melnikov function, in simple language.
Majid Karimi Amaleh
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Beyond the Melnikov method II: Multidimensional setting [PDF]
Journal of Differential Equations, 2018 25 ...
Maciej J. Capiński, Piotr Zgliczyński
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Advances in Mechanical Engineering, 2020 The power-split hybrid electric vehicle (PS-HEV) has multiple working modes to maintain high operation efficiency according to different conditions. The main modes involved in the vehicle driving process are pure electric mode and the hybrid driving mode.
Dou Lei +6 more
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Analysis of Tangential Nonlinear Vibration on Machine Hydrostatic Slide
Shock and Vibration, 2019 In this paper, the nonlinear dynamic responses of the hydrostatic slide were investigated and the effects of damping and external force to control the vibration system were discussed.
Zhongkui Zhang +3 more
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Poincaré-Melnikov-Arnold Method for Twist Maps [PDF]
, 1999 The Poincar\'e--Melnikov--Arnold method is the standard tool for detecting splitting of invariant manifolds for systems of ordinary differential equations close to ``integrable'' ones with associated separatrices. This method gives rise to an integral (continuous sum) known as the Melnikov function (or Melnikov integral).
Delshams Valdés, Amadeu +1 more
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Poincaré - Melnikov - Arnold method for analytic planar maps [PDF]
Nonlinearity, 1996 The Poincare-Melnikov-Arnold method for planar maps gives rise to a Melnikov function defined by an infinite and (a priori) analytically uncomputable sum. Under an assumption of meromorphicity, residues theory can be applied to provide an equivalent finite sum. Moreover, the Melnikov function turns out to be an elliptic function and a general criterion
Delshams Valdés, Amadeu +1 more
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Arnold diffusion in the dynamics of a 4-machine power system undergoing a large fault [PDF]
, 1983 We focus on the seemingly complicated dynamics of a four-machine power system which is undergoing a sudden fault. Adopting a Hamiltonian (energy) formulation, we consider the system as an interconnection of (one degree of freedom) subsystems.
Marsden, Jerrold E. +2 more
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Chaotic Threshold for a Class of Power System Model
Shock and Vibration, 2019 This paper deals with the bifurcation and chaotic dynamic characteristic of a single-machine infinite-bus (SMIB) power system under two kinds of harmonic excitation disturbance, which are induced by the external periodic load and the outer mechanical ...
Xiaodong Wang, Zhenyong Lu, Caiqin Song
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Chaos and bifurcation in time delayed third order phase-locked loop [PDF]
, 2021 In this paper, the modern nonlinear theory is applied to a third order phase locked loop (PLL) with a feedback time delay. Due to this delay, different behaviors that are not accounted for in a conventional PLL model are identified, namely, oscillatory ...
Ghareeb, Ibrahim +3 more
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