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https://doi.org/10.3934/dcds.2020262
| Title: | The mandelbrot set is the shadow of a julia set | Authors: | Berteloot, F. Dinh, T.-C. |
Keywords: | Bifurcation Equilibrium measure Green current Julia set Mandelbrot set |
Issue Date: | 2020 | Publisher: | American Institute of Mathematical Sciences | Citation: | Berteloot, F., Dinh, T.-C. (2020). The mandelbrot set is the shadow of a julia set. Discrete and Continuous Dynamical Systems- Series A 40 (12) : 6611-6633. ScholarBank@NUS Repository. https://doi.org/10.3934/dcds.2020262 | Rights: | Attribution 4.0 International | Abstract: | Working within the polynomial quadratic family, we introduce a new point of view on bifurcations which naturally allows to see the set of bifurcations as the projection of a Julia set of a complex dynamical system in dimension three. We expect our approach to be extendable to other holomorphic families of dynamical systems. © 2020 American Institute of Mathematical Sciences. All rights reserved. | Source Title: | Discrete and Continuous Dynamical Systems- Series A | URI: | https://scholarbank.nus.edu.sg/handle/10635/199319 | ISSN: | 10780947 | DOI: | 10.3934/dcds.2020262 | Rights: | Attribution 4.0 International |
| Appears in Collections: | Staff Publications Elements |
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