论文信息 - Intertwined basins of Attraction in Planar Systems

Intertwined basins of Attraction in Planar Systems

In this paper, we investigate the intertwined basins of attraction. Using a general definition, we discuss the local intertwining properties and present an easy condition to guarantee the existence of intertwined basins for planar dynamical systems.

Changming Ding

[1] J. Hofbauer,et al. Intermingled basins in a two species system , 2004, Journal of mathematical biology.

[2] James A. Yorke,et al. Basins of Wada , 1991 .

[3] J. Yorke,et al. Fractal basin boundaries , 1985 .

[4] Intermingled basins for the triangle map , 1996, Ergodic Theory and Dynamical Systems.

[5] A Characterization of theω-Limit Sets of Planar Continuous Dynamical Systems , 1998 .

[6] Celso Grebogi,et al. Basin boundary metamorphoses: changes in accessible boundary orbits , 1987 .