A STATISTICAL METHOD FOR DETECTING CYCLES IN DISCRETE DYNAMICAL SYSTEMS
1996 ◽
Vol 06
(12a)
◽
pp. 2375-2388
◽
Keyword(s):
This paper introduces a statistical method for detecting cycles in discrete time dynamical systems. The continuous state space is replaced by a discrete one consisting of cells. Hashing is used to represent the cells in the computer’s memory. An algorithm for a two-parameter bifurcation analysis is presented which uses the statistical method to detect cycles in the discrete state space. The output of this analysis is a colored cartogram where parameter regions are marked according to the long-term behavior of the system. Moreover, the algorithm allows the computation of basins of attraction of cycles.
1974 ◽
Vol 11
(04)
◽
pp. 669-677
◽
Keyword(s):
2009 ◽
Vol 13
(6)
◽
pp. 608-614
2003 ◽
Vol 14
(04)
◽
pp. 583-604
◽
Keyword(s):
1997 ◽
Vol 07
(11)
◽
pp. 2487-2499
◽
Keyword(s):