FROM THE BOX-WITHIN-A-BOX BIFURCATION STRUCTURE TO THE JULIA SET PART II: BIFURCATION ROUTES TO DIFFERENT JULIA SETS FROM AN INDIRECT EMBEDDING OF A QUADRATIC COMPLEX MAP

DOI10.1142/S021812740902475XzbMath1182.37032OpenAlexW2111627123WikidataQ121195787 ScholiaQ121195787MaRDI QIDQ5305125

Laura Gardini, Anna Agliari, Christian Mira

Publication date: 19 March 2010

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812740902475x

zbMATH Keywords

stabilityembeddingJulia setglobal bifurcationfractal setbasinnoninvertible map

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Low-dimensional dynamical systems (37E99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Chaotic Dynamics of a Three-dimensional Endomorphism

Cites Work

• FROM THE BOX-WITHIN-A-BOX BIFURCATION ORGANIZATION TO THE JULIA SET PART I: REVISITED PROPERTIES OF THE SETS GENERATED BY A QUADRATIC COMPLEX MAP WITH A REAL PARAMETER
• BASIN FRACTALIZATIONS GENERATED BY A TWO-DIMENSIONAL FAMILY OF (Z₁–Z₃–Z₁) MAPS
• BASIN BIFURCATIONS OF TWO-DIMENSIONAL NONINVERTIBLE MAPS: FRACTALIZATION OF BASINS
• On Some Properties of Invariant Sets of Two-Dimensional Noninvertible Maps
• On the Fractal Structure of Basin Boundaries in Two-Dimensional Noninvertible Maps

This page was built for publication: FROM THE BOX-WITHIN-A-BOX BIFURCATION STRUCTURE TO THE JULIA SET PART II: BIFURCATION ROUTES TO DIFFERENT JULIA SETS FROM AN INDIRECT EMBEDDING OF A QUADRATIC COMPLEX MAP