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First-order nonlinear dynamic initial value problems
(2021-01-01)
We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two ...
First-order nonlinear dynamic initial value problems
(Inderscience Enterprises Ltd, 2021-01-01)
We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two ...
Asymptotic approach for the nonlinear equatorial long wave interactions
(2011-08-30)
In the present work we use an asymptotic approach to obtain the long wave equations. The shallow water equation is put as a function of an external parameter that is a measure of both the spatial scales anisotropy and the ...
Asymptotic approach for the nonlinear equatorial long wave interactions
(2011-08-30)
In the present work we use an asymptotic approach to obtain the long wave equations. The shallow water equation is put as a function of an external parameter that is a measure of both the spatial scales anisotropy and the ...
Stiffness nonlinearity in structural dynamics: Our friend or enemy?
(2017-04-25)
The effects of nonlinearity, particularly stiffness nonlinearity, has been of concern to structural engineers for many years. Primarily this has been because this type of nonlinearity can cause unpredictable dynamics, and ...
Some remarks on bifurcation analysis of a nonlinear vibrating system excited by a shape memory alloy material (SMA)
(2011-10-01)
In this paper, the dynamical response of a coupled oscillator is investigated, taking in consideration the nonlinear behavior of a SMA spring coupling the two oscillators. Due to the nonlinear coupling terms, the system ...
Some remarks on bifurcation analysis of a nonlinear vibrating system excited by a shape memory alloy material (SMA)
(2011-10-01)
In this paper, the dynamical response of a coupled oscillator is investigated, taking in consideration the nonlinear behavior of a SMA spring coupling the two oscillators. Due to the nonlinear coupling terms, the system ...
Influence of hysteresis loop shape on the nonlinear dynamics of shape memory alloy oscillator excited by non-ideal energy sources
(2014-12-10)
The dynamical response of systems with shape memory alloy (SMA) presents a different behavior due to their nonlinear characteristic. SMA nonlinear response is associated with adaptive dissipation related to their hysteretic ...
Eigenvalue optimization-based formulations for nonlinear dynamics and control problems
(Elsevier Science Sa, 2007-11)
Eigenvalues play an important role in many fields of applied mathematics to engineering. For some applications it may be desirable to calculate the variables of a model in order to optimize an objective function and/or to ...