Our study is concerned with a particular class of hybrid dynamical systems, namely systems with discontinuous vector fields. We will show that such systems can exhibit a novel class of bifurcations which are not observed in smooth dynamical systems. Particularly, we concentrate on bifurcations which arise due to the existence of so-called sliding motion. Using appropriate discrete mappings we show the possible existence of complex transitions which we term sliding, multisliding and grazing-sliding bifurcations. Relay feedback systems are used as a representative example.
On a novel class of bifurcations in hybrid dynamical systems: the case of relay feedback systems / Kowalczyk, P., DI BERNARDO, M.. - STAMPA. - 2034:(2001), pp. 361-374. [10.1007/3-540-45351-2_30]
On a novel class of bifurcations in hybrid dynamical systems: the case of relay feedback systems
DI BERNARDO, MARIO
2001
Abstract
Our study is concerned with a particular class of hybrid dynamical systems, namely systems with discontinuous vector fields. We will show that such systems can exhibit a novel class of bifurcations which are not observed in smooth dynamical systems. Particularly, we concentrate on bifurcations which arise due to the existence of so-called sliding motion. Using appropriate discrete mappings we show the possible existence of complex transitions which we term sliding, multisliding and grazing-sliding bifurcations. Relay feedback systems are used as a representative example.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
