Uniqueness and attractivity of the carrying simplex for discrete-time competitive dynamical systems

作者：Wang Y^*; Jiang JF

来源：Journal of Differential Equations, 2002, 186(2): 611-632.

DOI：10.1016/S0022-0396(02)00025-6

For the discrete-time dissipative competitive dynamical system on R-+(n), it is proved that, generically, there is a unique (n - 1)-dim invariant carrying simplex attracting all nontrivial orbits, which solved the conjecture raised by H.L. Smith in 1986.

• 出版日期2002-12-10
• 单位中国科学技术大学