Results 101 to 110 of about 308 (136)
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Melnikov’s method for chaos of the nanoplate postulating nonlinear foundation
Applied Mathematical Modelling, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Xiaohua, Zhou, Liangqiang
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Melnikov's method for rigid bodies subject to small perturbation torques
Archive of Applied Mechanics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tong, X., Tabarrok, B.
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Fundamental Theory of the Melnikov Function Method
2012Chapter 6 introduces the fundamental theory of Melnikov function method. Basic definitions and fundamental lemmas are presented. A main theory on the number of limit cycles is given.
Maoan Han, Pei Yu
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The Multiple Scales Method, Homoclinic Bifurcation and Melnikov's Method for Autonomous Systems
International Journal of Bifurcation and Chaos, 1998Melnikov's method is a well-established technique for detecting homoclinic bifurcation of perturbed autonomous or forced systems. This method uses a regular perturbation expansion in terms of a small parameter in the system. Whilst the approach correctly estimates the parameter values for the bifurcation and transverse intersections of separatrices ...
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Markov and Melnikov based methods for vessel capsizing criteria
Ocean Engineering, 2013Abstract Vessel capsizing analysis in random beam sea has been approached using different analytical methods in the past decades. However, due to the strong softening nonlinear stiffness and stochastic excitation, there is still no general method of dealing with capsizing prediction in a random sea.
Zhiyong Su, Jeffrey M. Falzarano
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On the Equivalence of the Melnikov Functions Method and the Averaging Method
Qualitative Theory of Dynamical Systems, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On some applications of Melnikov's method to chaos and subharmonics
Bulletin of the Australian Mathematical Society, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Melnikov method and exponentially small splitting of separatrices
Physica D: Nonlinear Phenomena, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Melnikov method and elliptic equations with critical exponent
1994We consider the existence of ground states for the problem Delta u + K(\x\)U-(n+2/(n-2)) = 0 where K(\x\) is a positive, bounded, continuous function. We use dynamical systems methods, especially the method of the Melnikov function to find conditions under which this problem admits a ground state or a singular ground state.
JOHNSON, RUSSELL ALLAN +2 more
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