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
In this paper we analyze the dynamics of a four dimensional mechanical system which exhibits sensiti...
AbstractThe one-dimensional linear wave equation with a van der Pol nonlinear boundary condition is ...
AbstractIn this paper, we consider the dynamical behavior of a second order strongly damped lattice ...
AbstractThis paper deals with the chaotic behavior of the solutions of a mixed problem for the one-d...
AbstractThis paper is concerned with a one-dimensional vibrating string equation with a nonlinear bo...
AbstractThe analogue of Li–Yorke chaos [T.Y. Li, J. Yorke, Period three implies chaos, Amer. Math. M...
AbstractWe discuss the existence of periodic solutions to the wave equation with variable coefficien...
International audienceThe Burridge-Knopoff model describes the dynamics of an elastic chain of block...
AbstractThis work is concerned with analysis and optimization in coefficients of the 1−D,T-periodic ...
AbstractWe investigate nonlinear dynamics near an unstable constant equilibrium in the classical Kel...
AbstractWe report on the first steps made towards the computational proof of the chaotic behaviour o...
In this paper, an explicit formulation of the shooting scheme for computation of multiple periodic a...
AbstractWe are interested in the existence of travelling-waves for the nonlinear Schrödinger equatio...
Methods proving the existence of chaos in the sense of Poincaré-Birkhoff-Smale horseshoes are presen...
We study a PDE modelling a compressed beam with small friction and subjected to a periodic forc...
In this paper we analyze the dynamics of a four dimensional mechanical system which exhibits sensiti...
AbstractThe one-dimensional linear wave equation with a van der Pol nonlinear boundary condition is ...
AbstractIn this paper, we consider the dynamical behavior of a second order strongly damped lattice ...
AbstractThis paper deals with the chaotic behavior of the solutions of a mixed problem for the one-d...
AbstractThis paper is concerned with a one-dimensional vibrating string equation with a nonlinear bo...
AbstractThe analogue of Li–Yorke chaos [T.Y. Li, J. Yorke, Period three implies chaos, Amer. Math. M...
AbstractWe discuss the existence of periodic solutions to the wave equation with variable coefficien...
International audienceThe Burridge-Knopoff model describes the dynamics of an elastic chain of block...
AbstractThis work is concerned with analysis and optimization in coefficients of the 1−D,T-periodic ...
AbstractWe investigate nonlinear dynamics near an unstable constant equilibrium in the classical Kel...
AbstractWe report on the first steps made towards the computational proof of the chaotic behaviour o...
In this paper, an explicit formulation of the shooting scheme for computation of multiple periodic a...
AbstractWe are interested in the existence of travelling-waves for the nonlinear Schrödinger equatio...
Methods proving the existence of chaos in the sense of Poincaré-Birkhoff-Smale horseshoes are presen...
We study a PDE modelling a compressed beam with small friction and subjected to a periodic forc...
In this paper we analyze the dynamics of a four dimensional mechanical system which exhibits sensiti...
AbstractThe one-dimensional linear wave equation with a van der Pol nonlinear boundary condition is ...
AbstractIn this paper, we consider the dynamical behavior of a second order strongly damped lattice ...
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