REAL CONTINUATION FROM THE COMPLEX QUADRATIC FAMILY: FIXED-POINT BIFURCATION SETS

DOI10.1142/S0218127400000256zbMath1090.37537MaRDI QIDQ5474069

James A. Montaldi, Bruce B. Peckham

Publication date: 23 June 2006

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

zbMATH Keywords

saddle-nodenumerical studyperiod-doubling and Hopf bifurcations

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10)

Related Items (5)

A system of alternately excited coupled non-autonomous oscillators manifesting phenomena intrinsic to complex analytical maps ⋮ DYNAMICS OF NONHOLOMORPHIC SINGULAR CONTINUATIONS: A CASE IN RADIAL SYMMETRY ⋮ Fixed curves near fixed points ⋮ Dynamics of quasiregular mappings with constant complex dilatation ⋮ Interactions of the Julia Set with Critical and (Un)Stable Sets in an Angle-Doubling Map on ℂ\{0}

Cites Work

• Real Perturbation of Complex Analytic Families: Points to Regions
• The Dynamics of Planar Quadratic Maps with Nonempty Bounded Critical Set
• Dynamics of Certain Nonconformal Degree-Two Maps of the Plane

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