China Instilute of Atomic Energy, Beijing 102413, China;
Department of Electrical and Comnputer Engineering,University of Houston, Houston, TX 77204-4793, USA.;
China Instilute of Atomic Energy, Beijing 102413, China;
China Instilute of Atomic Energy, Beijing 102413, China;
high current proton beam. transfer matrix theory; qualitative analysis; halo-chaos; particles rnin cell simulation; nonlinear feedback control;