From Mandelbrot-like sets to Arnold tongues

作者：

Highlights：

• We propose a coupling of two quadratic maps.

• There are two coupling terms, one being linear and the other quadratic.

• A two-dimensional parameter-space of the coupling is investigated.

• A transition from a Mandelbrot-like set to Arnold tongues is detected.

摘要

•We propose a coupling of two quadratic maps.•There are two coupling terms, one being linear and the other quadratic.•A two-dimensional parameter-space of the coupling is investigated.•A transition from a Mandelbrot-like set to Arnold tongues is detected.

论文关键词：Mandelbrot-like sets,Arnold tongues,Parameter-space,Lyapunov exponents,Coupled maps

论文评审过程：Available online 24 August 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.08.001