Results 21 to 30 of about 5,152,512 (204)
Morse and Melnikov functions for NLS Pde's [PDF]
Communications in Mathematical Physics, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Y., McLaughlin, David W.
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Shock and Vibration, 2016 Nonlinear magnetic forces are always used to enlarge resonant bandwidth of vibration energy harvesting systems with piezoelectric cantilever beams. However, how to determine properly the distance between two magnets is one of the key engineering problems.
Zhongsheng Chen +4 more
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Chaos in charged AdS black hole extended phase space
Physics Letters B, 2018 We present an analytical study of chaos in a charged black hole in the extended phase space in the context of the Poincare–Melnikov theory. Along with some background on dynamical systems, we compute the relevant Melnikov function and find its zeros ...
M. Chabab +4 more
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A Melnikov Method for Homoclinic Orbits with Many Pulses [PDF]
, 1998 We present an extension of the Melnikov method which can be used for ascertaining the existence of homoclinic and heteroclinic orbits with many pulses in a class of near‐integrable systems.
Camassa, Roberto +2 more
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On the expansion of the Melnikov function near a double heteroclinic loop with two nilpotent cusps
上海师范大学学报. 自然科学版, 2020 In this paper, we give all the different topological types of phase portrait for the unperturbed Liénard system ẋ=y, ẏ=-g(x) in the case that deg g(x)=7 and the system has 2, 3, 4 and 5 singular points, respectively.
MIAO Jiale, YANG Junmin
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Existence of Solitary Waves in a Perturbed KdV-mKdV Equation
Journal of Mathematics, 2021 In this paper, we establish the existence of a solitary wave in a KdV-mKdV equation with dissipative perturbation by applying the geometric singular perturbation technique and Melnikov function.
Chengqun Li, Minzhi Wei, Yuanhua Lin
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this article we study the existence and positions of limit cycles in piecewise smooth perturbations of planar Hamiltonian centers. By using the regularization method we provide an analytical expression for the first order Melnikov function frequently ...
Luis Mello +2 more
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Applied Sciences, 2023 The dynamic vibration absorber (DVA) is widely used in engineering models with complex vibration modes. The research on the stability and periodic motions of the DVA model plays an important role in revealing its complex vibration modes and energy ...
Ziyu Guo +3 more
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Limit cycle bifurcations in a planar piecewise quadratic system with multiple parameters
Advances in Difference Equations, 2020 This paper is concerned with the number of limit cycles bifurcating from a period annulus for some planar piecewise smooth non-Hamiltonian systems. We construct a planar piecewise quadratic system with multiple parameters, obtain its lower bound for the ...
Shuhua Gong, Maoan Han
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On the Number of Limit Cycles of a Piecewise Quadratic Near-Hamiltonian System
Abstract and Applied Analysis, 2014 This paper is concerned with the problem for the maximal number of limit cycles for a quadratic piecewise near-Hamiltonian system. By using the method of the first order Melnikov function, we find that it can have 8 limit cycles.
Jing Tian
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