TY - JOUR
T1 - The Formats of Julia Sets for Complex Dynamic Systems
AU - Liu , Changan
AU - Liu , Shutang
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 443
EP - 459
PY - 2021
DA - 2021/04
SN - 1
DO - http://doi.org/10.12150/jnma.2019.443
UR - https://global-sci.org/intro/article_detail/jnma/18834.html
KW - Fractals, variable coefficients, complex dynamic system, stable
domain, Julia sets.
AB - <p style="text-align: justify;">In this paper, the formats of Julia sets for a class of nonlinear
complex dynamic systems with variable coefficients were studied under certain
conditions. For the complex dynamic systems in piecewise cases, we proposed
some methods to control the forms of their Julia sets and stable domains
analytically. What&#39;s more, we illustrated that our methods worked well by
computational simulations. Our work provides a better understanding about
how to control the Julia sets of certain complex dynamic systems.</p>