Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-01-01

Journal: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Included Journals: EI、SCIE

Volume: 23

Issue: 1

ISSN: 0218-1274

Key Words: Equipotential point algorithm; strike frequency; single point's iteration track; Julia set; fractal

Abstract: Escape time algorithm is a classical algorithm to calculate the Julia sets, but it has the disadvantage of dull color and cannot record the iterative process of the points. In this paper, we present the equipotential point algorithm to calculate the Julia sets by recording the strike frequency of the points in the iterative process. We calculate and analyze the Julia sets in the complex plane by using this algorithm. Finally, we discuss the iteration trajectory of a single point.