The Dynamics of Planar Quadratic Maps with Nonempty Bounded Critical Set

DOI10.1142/S0218127498000073zbMath0936.37006MaRDI QIDQ4219808

Chia-Hsing Nien

Publication date: 24 May 2000

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

zbMATH Keywords

periodic pointssinkcritical setbounded orbitsplanar quadratic map

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Combinatorial dynamics (types of periodic orbits) (37E15)

Related Items (6)

Chaos in rational systems in the plane containing quadratic terms ⋮ A FAMILY OF COMPLETELY PERIODIC QUADRATIC DISCRETE DYNAMICAL SYSTEM ⋮ Dynamics of maps with nilpotent Jacobians ⋮ Classification of critical sets and their images for quadratic maps of the plane ⋮ REAL CONTINUATION FROM THE COMPLEX QUADRATIC FAMILY: FIXED-POINT BIFURCATION SETS ⋮ THE DYNAMICS OF NQ-SYSTEMS IN THE PLANE

Cites Work

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• Complex dynamics in two-dimensional endomorphisms
• BASIN BIFURCATIONS OF TWO-DIMENSIONAL NONINVERTIBLE MAPS: FRACTALIZATION OF BASINS
• Homoclinic bifurcations in n-dimensional endomorphisms, due to expanding periodic points
• ON BEHAVIORS OF TWO-DIMENSIONAL ENDOMORPHISMS: ROLE OF THE CRITICAL CURVES
• FRACTAL AGGREGATION OF BASIN ISLANDS IN TWO-DIMENSIONAL QUADRATIC NONINVERTIBLE MAPS
• On Some Properties of Invariant Sets of Two-Dimensional Noninvertible Maps

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