This paper is concerned with the derivation of normal form maps associated to border-collision events in n-dimensional piecewise smooth discrete systems. It is shown that these maps can be put in a standard form by means of appropriate coordinate transformations which reduces, in the two-dimensional case, to the border-collision normal form map studied by Yorke et al. (1994). This represents a key step towards the derivation of a general classification of border-collisions in high-dimensional systems.
Normal forms of border collision in high dimensional non-smooth maps / DI BERNARDO, Mario. - STAMPA. - (2003), pp. 76-79. ( Proceedings IEEE Symposium on Circuits and Systems 2003 Bangkok, Thailand MAGGIO 2003) [10.1109/ISCAS.2003.1204959].
Normal forms of border collision in high dimensional non-smooth maps
DI BERNARDO, MARIO
2003
Abstract
This paper is concerned with the derivation of normal form maps associated to border-collision events in n-dimensional piecewise smooth discrete systems. It is shown that these maps can be put in a standard form by means of appropriate coordinate transformations which reduces, in the two-dimensional case, to the border-collision normal form map studied by Yorke et al. (1994). This represents a key step towards the derivation of a general classification of border-collisions in high-dimensional systems.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
