We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
THE QUASI-SINE FIBONACCI HYPERBOLIC DYNAMIC SYSTEM.
- Authors
XING-YUAN WANG; FENG-DAN GE
- Abstract
This paper researches the dynamic behavior of a general form of the Fibonacci function, which is a quasi-sine Fibonacci function. It analyses the fixed points of the quasi-sine Fibonacci function on the real axis and the complex plane, and then constructs the Julia set of it using the escape-time method, discovering that the Julia set is fractal and it is on the x-axis symmetry. Using the conception of critical point, the quasi-sine Fibonacci function is generalized. Later the paper examines the dynamic behavior of the generalized quasi-sine Fibonacci function on critical points, and finds that the Mandelbrot set is also on the x-axis symmetry. Finally, it is discovered that there is a jumping phenomenon on the critical points.
- Subjects
FIBONACCI sequence; NUMBER theory; MANDELBROT sets; FRACTALS; JULIA sets
- Publication
Fractals, 2010, Vol 18, Issue 1, p45
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X10004725