Abstract
One of the most studied fractals corresponds to the Julia Set and one of its elements can be obtained with the following recursive formula in the complex plane: Zi+1 = Zi2 - 1, the result depends on the chosen starting complex number. We can define the Julia set of a complex variable polynomial as the boundary of the set of points that escape to infinity when iterating this polynomial. This means that the orbit of an element of the Julia set does not escape infinity.
Reference11 articles.
1. Ahmad K. Naimzada , Giorgio Ricchiuti. (2022). A note on biased fundamentalists. Chaos, Solitons & Fractals 45.pp:224–228.
2. Constantin Tulai, Ioana Popovici. (2020). Modeling risk using elements of game theory and fractals. Finance – Challenges of the Future.pp:78-83.
3. Cloud Makasu. (2021). On a stopped functional for a bidimensional process. Chaos, Solitons & Fractals 44.pp:1043–1044.
4. José Marão, Xinzhi Liu, Annibal Figueiredo.(2022).Using impulses to control the convergence toward invariant surfaces of continuous dynamical systems. Chaos, Solitons & Fractals 45.pp:1067–1079.
5. L. Barberis , C.A. Condat , P. Román. (2021). Vector growth universalities. Chaos, Solitons & Fractals 44.pp:1100–1105.