In this paper we study the problem of explicit representation and convergence of Pal type (0;1) interpolation and its converse, with some additional conditions, on the non-uniformly distributed nodes on the unit cir...In this paper we study the problem of explicit representation and convergence of Pal type (0;1) interpolation and its converse, with some additional conditions, on the non-uniformly distributed nodes on the unit circle obtaIned by projecting the interlaced zeros of Pn (x) and Pn′ (x) on the unit circle. The motivation to this problem can be traced to the recent studies on the regularity of Birkhoff interpolation and Pal type interpolations on non-uniformly distributed zeros on the unit circle.展开更多
Using the Grad-Shafranov equation, the magnetic configuration is obtained. With this configuration, Brambilla's ray tracing theory has been used to study the propagation of LH waves. The qualitative study of the feas...Using the Grad-Shafranov equation, the magnetic configuration is obtained. With this configuration, Brambilla's ray tracing theory has been used to study the propagation of LH waves. The qualitative study of the feasibility of LHCD in the non-circular cross section tokamak HL-2A is made. The optimized current drive method is discussed.展开更多
We present some conditions such that under these conditions an endomorphism of the circle has nontrivial rotation set and this rotation set changes under small perturbations of the endomorphism. Therefore, we have a c...We present some conditions such that under these conditions an endomorphism of the circle has nontrivial rotation set and this rotation set changes under small perturbations of the endomorphism. Therefore, we have a cascade of hompoclinic tangencies.展开更多
文摘In this paper we study the problem of explicit representation and convergence of Pal type (0;1) interpolation and its converse, with some additional conditions, on the non-uniformly distributed nodes on the unit circle obtaIned by projecting the interlaced zeros of Pn (x) and Pn′ (x) on the unit circle. The motivation to this problem can be traced to the recent studies on the regularity of Birkhoff interpolation and Pal type interpolations on non-uniformly distributed zeros on the unit circle.
基金the National Science Foundation of China(Nos.10675043,10575031 and 10675042)
文摘Using the Grad-Shafranov equation, the magnetic configuration is obtained. With this configuration, Brambilla's ray tracing theory has been used to study the propagation of LH waves. The qualitative study of the feasibility of LHCD in the non-circular cross section tokamak HL-2A is made. The optimized current drive method is discussed.
文摘We present some conditions such that under these conditions an endomorphism of the circle has nontrivial rotation set and this rotation set changes under small perturbations of the endomorphism. Therefore, we have a cascade of hompoclinic tangencies.