关键词: homoclinic chaos, heteroclinic chaos, non-existence of Shilnikov chaos

Abstract: In this paper, problems of a shallow spherical shell with circular base under eccentrically applied concentrated loads are discussed. The solutions for six cases of eccentrically applied concentrated loads are given, namely(1) Normal concentrated load,(2) Meridional tangential concentrated load,(3) Circumferential tangential concentrated load;(4) Concentrated moment in the tangential plane,(5) Concentrated moment in the meridional normal plane,(6) Concentrated moment in the circumferential normal plane.From the solutions of concentrated loads, the solutions of distributed line loads in the form of cosnfl along the circle are obtained.

Key words: homoclinic chaos, heteroclinic chaos, non-existence of Shilnikov chaos