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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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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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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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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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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Finite-time stochastic input-to-state stability and observer-based controller design for singular nonlinear systems [PDF]
, 2020 This paper investigated observer-based controller for a class of singular nonlinear systems with state and exogenous disturbance-dependent noise. A new sufficient condition for finite-time stochastic input-to-state stability (FTSISS) of stochastic ...
Cao, Jinde +4 more
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Multistability in Horizontal Platform System with and without Time Delays
Shock and Vibration, 2018 Chaotic behavior and bifurcation analysis of horizontal platform systems (HPS) have been investigated widely by many researchers. However, the multistable features of such systems have not been investigated, and hence we identified the multistable ...
Karthikeyan Rajagopal +3 more
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The passivity of adaptive output regulation of nonlinear exosystem with application of aircraft motions [PDF]
, 2017 This paper deals with passivity of adaptive output regulation of nonlinear exosystem. It is shown that factorisable low-high frequency gains and harmonic uncertainties are estimated to the exogenous signals with adaptive nonlinear system.
Kumar, R. Ravi Ravi +2 more
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