摘要：Bursting dynamics of mappings is investigated in this paper. We
first present stability analysis of the mappings' equilibria with
various parameters. Then for three mappings P, P¯, and P^ with different parameters, we study their powers P4, P¯6, and P^4. We show that the mappings thus
obtained are chaotic by giving a rigorous verification of
existence of horseshoes in these mappings. Precisely, we prove
that the mapping P¯6 is semiconjugate to the 3-shift mapping; the mappings P4 and P^4 are semiconjugate to the 4-shift mapping.
