AbstractThis paper is concerned with a one-dimensional vibrating string equation with a nonlinear boundary condition at one endpoint. By applying the snap-back repeller theory, the gradient of the wave equation is proved to be chaotic in the sense of both Devaney and Li–Yorke under some conditions. In addition, an illustrative example is provided with computer simulations
Abstract: In this paper, one-dimensional (1D) nonlinear wave equations utt − uxx C V.x/u D f.u/; wit...
We consider a one-dimensional weakly damped wave equation, with a damping coefficient depending on t...
We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear dam...
AbstractThis paper is concerned with the one-dimensional wave equation on a unit interval, where the...
AbstractThis paper deals with the chaotic behavior of the solutions of a mixed problem for the one-d...
AbstractThe one-dimensional linear wave equation with a van der Pol nonlinear boundary condition is ...
AbstractThis paper is concerned with a one-dimensional vibrating string equation with a nonlinear bo...
In this paper we consider an approximate one-dimensional model for describing the nonlinear dynamics...
An N mode truncation of the equations governing the resonantly forced non-linear motions of a stretc...
AbstractThis paper concerns a non-linear system of wave equations describing the motion in space of ...
The normal form for codimension one border collision bifurcations of fixed points of discrete time p...
The finite motions of a suspended elastic cable subjected to a planar harmonic excitation can be stu...
In this paper an initial-boundary value problem for a nonlinear string (or wave) equation with non-c...
Vibrations or oscillations can be caused in overhead cable lines or bridge cables due to strong rain...
A new derivation of a wave equation for small vibrations of elastic strings fastened at ends varying...
Abstract: In this paper, one-dimensional (1D) nonlinear wave equations utt − uxx C V.x/u D f.u/; wit...
We consider a one-dimensional weakly damped wave equation, with a damping coefficient depending on t...
We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear dam...
AbstractThis paper is concerned with the one-dimensional wave equation on a unit interval, where the...
AbstractThis paper deals with the chaotic behavior of the solutions of a mixed problem for the one-d...
AbstractThe one-dimensional linear wave equation with a van der Pol nonlinear boundary condition is ...
AbstractThis paper is concerned with a one-dimensional vibrating string equation with a nonlinear bo...
In this paper we consider an approximate one-dimensional model for describing the nonlinear dynamics...
An N mode truncation of the equations governing the resonantly forced non-linear motions of a stretc...
AbstractThis paper concerns a non-linear system of wave equations describing the motion in space of ...
The normal form for codimension one border collision bifurcations of fixed points of discrete time p...
The finite motions of a suspended elastic cable subjected to a planar harmonic excitation can be stu...
In this paper an initial-boundary value problem for a nonlinear string (or wave) equation with non-c...
Vibrations or oscillations can be caused in overhead cable lines or bridge cables due to strong rain...
A new derivation of a wave equation for small vibrations of elastic strings fastened at ends varying...
Abstract: In this paper, one-dimensional (1D) nonlinear wave equations utt − uxx C V.x/u D f.u/; wit...
We consider a one-dimensional weakly damped wave equation, with a damping coefficient depending on t...
We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear dam...
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