In this paper,we study a class of dynamical systems in R <SUP>n </SUP>— ideal systems and give an existence criterion of quasi-connecting orbits for such systems. Also, an existence criterion of connectin...In this paper,we study a class of dynamical systems in R <SUP>n </SUP>— ideal systems and give an existence criterion of quasi-connecting orbits for such systems. Also, an existence criterion of connecting orbits for general systems is given.展开更多
Using the concept of an isolated invariant set, some existence criteria of orbits connecting two critical points bifurcating from a single critical point for ordinary differential equations depending on a parameter ar...Using the concept of an isolated invariant set, some existence criteria of orbits connecting two critical points bifurcating from a single critical point for ordinary differential equations depending on a parameter are given.展开更多
In this paper,using the notion of an isolating block and Conley’s attractor theory,an existence criterion of trajectories connecting a pair of invariant sets of ordinary differential equations is given.
文摘In this paper,we study a class of dynamical systems in R <SUP>n </SUP>— ideal systems and give an existence criterion of quasi-connecting orbits for such systems. Also, an existence criterion of connecting orbits for general systems is given.
基金Research supported by the National Science Foundation of China(No.10271115).
文摘Using the concept of an isolated invariant set, some existence criteria of orbits connecting two critical points bifurcating from a single critical point for ordinary differential equations depending on a parameter are given.
基金Supported by the National Natural Science Foundation of China (No.10871181)
文摘In this paper,using the notion of an isolating block and Conley’s attractor theory,an existence criterion of trajectories connecting a pair of invariant sets of ordinary differential equations is given.
