This is a talk on seminar given respectively at the University of London, the University of Warwick and the University of Floyence during February to May of 1990. The author would like to thank Professors I.C. Perciva...This is a talk on seminar given respectively at the University of London, the University of Warwick and the University of Floyence during February to May of 1990. The author would like to thank Professors I.C. Percival, D.K. Arrowsmith, S. Bullett, W. Parry, A. Manning and R. Conti for their encouragement and help.展开更多
Let （?） be the space of C’ vector fields defined on a 2-dimensional closed differentiable manifold M2 endowed with the C’ topology. Let ∑’ denote the set of all structurally stable vector fields. The complement ...Let （?） be the space of C’ vector fields defined on a 2-dimensional closed differentiable manifold M2 endowed with the C’ topology. Let ∑’ denote the set of all structurally stable vector fields. The complement （?）1=（?）’-∑’, is called the bifurcation set. In order to study （?）1, in [1] Andronov and Leontovitch first introduced Definition 1 below and studied the properties of dynamical systems of展开更多
文摘This is a talk on seminar given respectively at the University of London, the University of Warwick and the University of Floyence during February to May of 1990. The author would like to thank Professors I.C. Percival, D.K. Arrowsmith, S. Bullett, W. Parry, A. Manning and R. Conti for their encouragement and help.
文摘Let （?） be the space of C’ vector fields defined on a 2-dimensional closed differentiable manifold M2 endowed with the C’ topology. Let ∑’ denote the set of all structurally stable vector fields. The complement （?）1=（?）’-∑’, is called the bifurcation set. In order to study （?）1, in [1] Andronov and Leontovitch first introduced Definition 1 below and studied the properties of dynamical systems of
基金Project supported by the National Natural Science Foundation of China.
文摘Using the notion of an isolating block, some existence eriteria of trajectories connecting two erttical points of planar dynamical systems arc given.
