The dynamics of complex cubic polynomials have been studied extensively in the recent years. The main interest in this work is to focus on the Julia sets in the dynamical plane, and then is consecrated to the study of several topics in more detail. Newton's method is considered since it is the main tool for finding solutions to equations, which leads to some fantastic images when it is applied to complex functions and gives rise to a chaotic sequence.
M. S. Bazara, H. D. Sherali, and C. M. Shetty, Nonlinear Programming: Theory and Algorithms, John Wiley & Sons, New York, 1993.
View at: Zentralblatt MATHA. Cayley, “Desiderata and suggestions: no. 3.the Newton-Fourier imaginary problem,” American Journal of Mathematics, vol. 2, no. 1, 97, 1879.
View at: Google Scholar | MathSciNetJ. Milnor, “Remarks on iterated cubic maps,” Experimental Mathematics, vol. 1, no. 1, pp. 5–24, 1992.
View at: Google Scholar | Zentralblatt MATH | MathSciNetJ. Milnor, Dynamics in One Complex Variable. Introductory Lectures, Vieweg, Wiesbaden, 2nd edition, 2000.
View at: Zentralblatt MATH