Dynamics of the periodic type-K competitive Kolmogorov systems

作者：Gyllenberg M; Wang Y^*

来源：Journal of Differential Equations, 2004, 205(1): 50-76.

DOI：10.1016/j.ide.2004.06.020

• time-periodic type-K competitive system
• Poincare map
• persistence
• invariant order decomposition
• exponential separation
• Pesin'
• s theory

For time-periodic dissipative and irreducible type-K competitive Kolmogorov systems, it is proved that there is a canonically defined countable family F of unordered, disjoint invariant sets with the property that, for every persistent trajectory whose omega-limit set is not a cycle, there exists a unique trajectory in some element of F such that these two trajectories are asymptotic and the corresponding points in these two trajectories are K-related.

• 出版日期2004-10-1