Using elementary phase-plane analysis, combined with results from the theory of topological horseshoes and linked twist maps, we prove the presence of chaos-like dynamics for a vertically driven planar pendulum and other, more general, related equations
Results on the dynamics of the planar pendulum with parametric vertical timeperiodic forcing are rev...
Results on the dynamics of the planar pendulum with parametric vertical timeperiodic forcing are rev...
We consider the effect of horizontally shaking the pivot point of a damped pendulum. While similar ...
Using phase–plane analysis, findings from the theory of topological horseshoes and linked-twist maps...
Results on the dynamics of the planar pendulum with parametric vertical time-periodic forcing are re...
Results on the dynamics of the planar pendulum with parametric vertical time-periodic forcing are re...
A periodically forced mathematical pendulum is one of the typical and popular nonlinear oscillators ...
Educação Superior::Ciências Exatas e da Terra::MatemáticaApparently simple physical systems often ha...
Educação Superior::Ciências Exatas e da Terra::MatemáticaApparently simple physical systems often ha...
Chaotic behavior of a physical system is characterized by its unpredictability and extreme sensitivi...
This thesis involves the analysis of four classes of nonlinear oscillators. We investigate a damped ...
This thesis involves the analysis of four classes of nonlinear oscillators. We investigate a damped ...
We examine the nonlinear response of two planar pendula under external and kinematic excitations, wh...
Numerical simulations have shown that a parametrically damped, but otherwise undriven pendulum posse...
Numerical simulations have shown that a parametrically damped, but otherwise undriven pendulum posse...
Results on the dynamics of the planar pendulum with parametric vertical timeperiodic forcing are rev...
Results on the dynamics of the planar pendulum with parametric vertical timeperiodic forcing are rev...
We consider the effect of horizontally shaking the pivot point of a damped pendulum. While similar ...
Using phase–plane analysis, findings from the theory of topological horseshoes and linked-twist maps...
Results on the dynamics of the planar pendulum with parametric vertical time-periodic forcing are re...
Results on the dynamics of the planar pendulum with parametric vertical time-periodic forcing are re...
A periodically forced mathematical pendulum is one of the typical and popular nonlinear oscillators ...
Educação Superior::Ciências Exatas e da Terra::MatemáticaApparently simple physical systems often ha...
Educação Superior::Ciências Exatas e da Terra::MatemáticaApparently simple physical systems often ha...
Chaotic behavior of a physical system is characterized by its unpredictability and extreme sensitivi...
This thesis involves the analysis of four classes of nonlinear oscillators. We investigate a damped ...
This thesis involves the analysis of four classes of nonlinear oscillators. We investigate a damped ...
We examine the nonlinear response of two planar pendula under external and kinematic excitations, wh...
Numerical simulations have shown that a parametrically damped, but otherwise undriven pendulum posse...
Numerical simulations have shown that a parametrically damped, but otherwise undriven pendulum posse...
Results on the dynamics of the planar pendulum with parametric vertical timeperiodic forcing are rev...
Results on the dynamics of the planar pendulum with parametric vertical timeperiodic forcing are rev...
We consider the effect of horizontally shaking the pivot point of a damped pendulum. While similar ...