Results 91 to 100 of about 10,996,377 (201)

Chaos prediction in nano-resonators based on nonlocal elasticity theory

open access: yesMATEC Web of Conferences, 2018
By decreasing the thickness of micro- and nano- beams, classical continuum theory is not accurate to predict the static and dynamic response due to the absence of length scale parameter.
Nahvi Hassan, Maleki Mehdi
doaj   +1 more source

Melnikov’s Criteria and Chaos Analysis in the Nonlinear Schrödinger Equation with Kerr Law Nonlinearity

open access: yesAbstract and Applied Analysis, 2014
The dynamics of the nonlinear Schrödinger equation with Kerr law nonlinearity with two perturbation terms are investigated. By using Melnikov method, the threshold values of chaotic motion under periodic perturbation are given. Moreover we also study the
Jiuli Yin, Liuwei Zhao, Lixin Tian
doaj   +1 more source

Some Remarks on the Melnikov Function [PDF]

open access: yes, 2002
We study the Melnikov function associated with a periodic perturbation of a differential equation having a homoclinic orbit. Our main interest is the characterization of perturbations that give rise to vanishing or non-vanishing of the Melnikov function.
Battelli, Flaviano, Feckan, Michal
core   +2 more sources

Comprehensive analysis of the mechanism of sensitivity to initial conditions and fractal safe basins for wind turbine blade dynamics

open access: yesNext Energy
The aim of this work is to enhance the understanding of the nonlinear dynamics of wind turbine blade oscillators. A novel in-plane and out-of-plane dynamic model of wind turbine blade oscillators (featuring Mathieu-Duffing oscillators) is proposed to ...
Bo Qin, Ying Zhang
doaj   +1 more source

Kirill Melnikov

open access: yes, 2007
We present an estimate of perturbative QCD corrections to the decay Z ! Wu ¯ d. A simple approximate approach is described in detail. The difference of masses of MZ and MW is used as an expansion parameter.
Institut Fur Physik   +3 more
core  

Singular separatrix splitting and Melnikov method: an experimental study

open access: yes, 1997
Delshams, Amadeu; Ramirez-Ros, Rafael. (1997). Singular separatrix splitting and Melnikov method: an experimental study.
Ramirez-Ros, Rafael, Delshams, Amadeu
core  

Investigation on nonlinear rolling dynamics of amphibious vehicle under wind and wave load

open access: yesJournal of Measurement Science and Instrumentation, 2015
Nonlinear amphibious vehicle rolling under regular waves and wind load is analyzed by a single degree of freedom system.Considering nonlinear damping and restoring moments,a nonlinear rolling dynamical equation of amphibious vehicle is established.The ...
MA Xin-mou, CHANG Lie-zhen
doaj  

General System Theory and Linguistic Systemology by Professor G.P. Melnikov: Methodology and Method. Article 1

open access: yesRUDN Journal of Language Studies, Semiotics and Semantics, 2014
The publication treats the foundations, methodology and several methods to develop the general system theory, or systemology, which ascend theoretical treaties by L. von.
V N Denisenko, E A Krasina
doaj  

Poincaré-Melnikov-Arnold method for twist maps

open access: yes
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.
Delshams Valdés, Amadeu   +1 more
core  

Capsize criteria in beam seas: Melnikov analysis vs. safe basin erosion [PDF]

open access: yes
International audienceWe study the problem of capsizing of a rolling ship in harmonic and random beam seas, by means of the Melnikov method and safe basin calculations. In the random excitation case, we consider an integro-differential Cummins-type model
Papoutsellis, Christos   +3 more
core   +1 more source

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