In this work, we perform a systematic numerical investigation of the nonlinear dynamics of an inverted pendulum between lateral rebounding barriers. The attractor scenario is determined and illustrated by bifurcation diagrams. Attention is focused on local and global, classical and non-classical bifurcations that lead to the attractors-basins metamorphoses, and on the role played by invariant manifolds of appropriate saddles. Our numerical results show that the basins of attraction that appear at a certain critical threshold exhibit fractal nature. We also focus our attention on the onset of the scattered cross-well chaotic attractor.
Some aspects of the non-smooth dynamics of an impacting inverted pendulum / Lenci, Stefano; Demeio, Lucio; Petrini, Milena. - 2005:(2005). (Intervento presentato al convegno 5th EUROMECH Nonlinear Dynamics Conference ENOC tenutosi a Eindhoven nel August 7-12 2005).
Some aspects of the non-smooth dynamics of an impacting inverted pendulum
LENCI, Stefano;DEMEIO, Lucio;PETRINI, Milena
2005-01-01
Abstract
In this work, we perform a systematic numerical investigation of the nonlinear dynamics of an inverted pendulum between lateral rebounding barriers. The attractor scenario is determined and illustrated by bifurcation diagrams. Attention is focused on local and global, classical and non-classical bifurcations that lead to the attractors-basins metamorphoses, and on the role played by invariant manifolds of appropriate saddles. Our numerical results show that the basins of attraction that appear at a certain critical threshold exhibit fractal nature. We also focus our attention on the onset of the scattered cross-well chaotic attractor.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.