Real dynamics for damped Newton’s method applied to cubic polynomials
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摘要
In this paper we study the real dynamics of the damped Newton’s methods applied to cubic polynomials, but instead of taking a value of the damping factor λ∈(0,1), we consider all values of λ∈R. The method for unusual values of λ presents different behaviors such as convergence to n-cycles or even chaos.
论文关键词：Real dynamics,Damped Newton’s method,Lyapunov expononents,Feigenbaum diagrams,Cubic polynomials,Scaling Theorem
论文评审过程：Received 8 August 2013, Revised 28 October 2013, Available online 16 December 2013.
论文官网地址：https://doi.org/10.1016/j.cam.2013.11.019
