Extreme nonlinear dynamics of cantilever beams: effect of gravity and slenderness on the nonlinear modes [PDF]
, 2023 In this paper, the effect of gravity on the nonlinear extreme amplitude vibrations of a slender, vertically-oriented cantilever beam is investigated. The extreme nonlinear vibrations are modeled using a finite element discretization of the geometrically ...
DEBEURRE, Marielle +5 more
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New extended generalized Kudryashov method for solving three nonlinear partial differential equations [PDF]
, 2020 New extended generalized Kudryashov method is proposed in this paper for the first time. Many solitons and other solutions of three nonlinear partial differential equations (PDEs), namely, the (1+1)-dimensional improved perturbed nonlinear Schrödinger ...
Alngar, Mohamed E.M. +2 more
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On Nonlinear Vekua Type Equations [PDF]
, 2006 Nonlinear Vekua-Bers type differential equations are studied on the base of certain methods of nonlinear analysis.
S. V. Rogosin, Rogosin, S. V.
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Nonlinear Spectral Singularities for Confined Nonlinearities [PDF]
Physical Review Letters, 2013 5 pages, 1 figure, to appear in Phys.
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Chaos and Bifurcation Control Using Nonlinear Recursive Controller [PDF]
, 2002 Chaos and bifurcation control is achieved by nonlinear controller that is able to mitigate the characteristics of a class of nonlinear systems that are experiencing such phenomenon.
Zohdy, M. A., Harb, A. M.
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Modeling nonlinear systems using multiple piecewise linear equations [PDF]
, 2010 This paper describes a technique for modeling nonlinear systems using multiple piecewise linear equations. The technique provides a means for linearizing the nonlinear system in such a way as to not limit the large signal behavior of the ...
Lowe, G. K. K., Zohdy, M. A. A.
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Controllability of nonlinear fractional Langevin delay systems [PDF]
, 2019 In this paper, we discuss the controllability of fractional Langevin delay dynamical systems represented by the fractional delay differential equations of order 0 < α,β ≤ 1.
Annapoorani, Natarajan +2 more
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Efficient high-order finite difference methods for nonlinear Klein–Gordon equations. I: Variants of the phi-four model and the form-I of the nonlinear Klein–Gordon equation [PDF]
, 2015 In this paper, the problem of solving some nonlinear Klein–Gordon equations (KGEs) is considered. Here, we derive different fourth- and sixth-order explicit and implicit algorithms to solve the phi-four equation and the form-I of the nonlinear Klein ...
Queiruga-Dios, Araceli +3 more
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Perturbation solutions of fifth order oscillatory nonlinear systems [PDF]
, 2011 Oscillatory systems play an important role in the nature. Many engineering problems and physical systems of fifth degrees of freedom are oscillatory and their governing equations are fifth order nonlinear differential equations.
Akbar, M. Ali Ali +1 more
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International Journal of Bifurcation and Chaos, 1997 The objectives and some basic methods of numerical bifurcation analysis are described. Several computational examples are used to illustrate the power as well as the limitations of these techniques. Directions in which further algorithmic and software development is desirable are also discussed.
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