@article{oai:ir.soken.ac.jp:00003283, author = {平田, 光司 and HIRATA, Kohji and PETRACCA, Stefania and RUGGIERO, Francesco}, issue = {13}, journal = {Physical Review Letters, Physical Review Letters}, month = {Apr}, note = {Using a simple wake function, it is shown that the equilibrium bunch length in electron storage rings with localized wake can have a cusp-catastrophe behavior. Contrary to the results of the conventional theory for a distributed wake force, the system becomes bistable (period 1 and period 2) and exhibits hysteresis in some region of the parameter space. These features are predicted by a Gaussian approximation and confirmed by multiparticle tracking.}, pages = {1693--1696}, title = {New type of bunch lengthening with cusp catastrophe in electron storage rings}, volume = {66}, year = {1991} }