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Styness, D., Hanan W.G., Pouryahya, S. and Herffernan, D.M. (2010) Scaling Relations and Critical Exponents for Two Dimensional Two Parameter Maps. The European Physical Journal B, 77, 469-478. https://doi.org/10.1140/epjb/e2010-00265-4

has been cited by the following article:

• TITLE: Bifurcation of Parameter-Space and Chaos in Mira 2 Map

  AUTHORS: Tao Jiang, Zhiyang Yang

  KEYWORDS: Mira 2 Map, Parameter-Space, Arnold Tongues

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.5 No.9, October 16, 2017

  ABSTRACT: In this paper, we investigate Mira 2 map in parameter-space (A-B) and obtain some interesting dynamical behaviors. According to the parameter space of Mira 2 map, we take A and B as some groups of values and display complex dynamical behaviors, including period-1, 2, 3, 4, 5, ???, 38, ??? orbits, Arnold tongues observed in the circle map [7], crisis, some chaotic attractors, period-doubling bifurcation to chaos, quasi-period behaviors to chaos, chaos to quasi-period behaviors, bubble and onset of chaos.