In this paper we use the theory of symmetric covariant tensor space and simultaneous classification method to successively classify the so-called cubic Kolmogorov type system. As an application of the result obtained,...In this paper we use the theory of symmetric covariant tensor space and simultaneous classification method to successively classify the so-called cubic Kolmogorov type system. As an application of the result obtained, we characterize the local phase portrait of the isolated critical points at infinity for a class of that system, and give some necessary and sufficient conditions for all its trajectories to be bounded.展开更多
文摘In this paper we use the theory of symmetric covariant tensor space and simultaneous classification method to successively classify the so-called cubic Kolmogorov type system. As an application of the result obtained, we characterize the local phase portrait of the isolated critical points at infinity for a class of that system, and give some necessary and sufficient conditions for all its trajectories to be bounded.
