We analyze, by means of the Melnikov method, the possibility of modifying the threshold of homoclinic chaos in general one-dimensional problems, by introducing small periodic resonant modulations. We indicate in particular a prescription in order to increase the threshold (i.e., to prevent chaos), and consider then its application to the bistable Duffing-Holmes potential. All results are confirmed both by numerical and by analog simulations, showing that small modulations can in fact sensibly influence the onset of chaos.
|Autori:||Cicogna G; Fronzoni L|
|Titolo:||MODIFYING THE ONSET OF HOMOCLINIC CHAOS - APPLICATION TO A BISTABLE POTENTIAL|
|Anno del prodotto:||1993|
|Digital Object Identifier (DOI):||10.1103/PhysRevE.47.4585|
|Appare nelle tipologie:||1.1 Articolo in rivista|