ВАНТ №6 2001

CONTENTS СОДЕРЖАНИЕ СТАТЬЯ

FORMALISM FOR CHAOTIC BEHAVIOR OF THE BUNCHED BEAM

Z. Parsa
Brookhaven National Laboratory, Physics Department 510 A, Upton, NY 11973
e-mail: Parsa@bnl.gov
V. Zadorozhny
Institute of Cybernetic, National Academy of Sciences of Ukraine
e-mail: Zvf@umex.istrada.net.ua


Using Cesaro mid of Fourier series the quasi-linear Vlasov’s equation is transformed to the integral Fredholm equation. New results on the oscillatory behavior of solution are obtained. An extension to perturbing equation is also included.


PACS: AMS 94B, 81P99, 57M20

Формализм для описания хаотического поведения бунчированного пучка

З. Парса, В. Задорожный