Basin Properties in Two-Dimensional Noninvertible Maps

DOI10.1142/S0218127498001777zbMath0995.37027OpenAlexW2042302426MaRDI QIDQ4941372

J. C. Cathala

Publication date: 29 February 2000

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

Full work available at URL: https://doi.org/10.1142/s0218127498001777

zbMATH Keywords

basin structuretwo-dimensional endomorphismsfirst rank pre-images

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (5)

BIFURCATIONS OF STABLE SETS IN NONINVERTIBLE PLANAR MAPS ⋮ ABOUT A NEW CLASS OF INVARIANT AREAS GENERATED BY TWO-DIMENSIONAL ENDOMORPHISMS ⋮ FRACTALIZATION OF BASIN BOUNDARY IN TWO-DIMENSIONAL NONINVERTIBLE MAPS ⋮ A METHOD TO CALCULATE BASIN BIFURCATION SETS FOR A TWO-DIMENSIONAL NONINVERTIBLE MAP ⋮ ON CRITICAL CURVES IN TWO-DIMENSIONAL ENDOMORPHISMS

Cites Work

• Sur certaines zones absorbantes et zones chaotiques d'un endomorphisme bidimensionnel. (On certain absorptive areas and chaotic areas of a two- dimensional endomorphism)
• Sur certaines zones chaotiques. (Some chaotic areas)
• The dynamics of density dependent population models
• Noninvertibility and the structure of basins of attraction in a model adaptive control system
• Snap-back repellers and chaos in a discrete population model with delayed recruitment
• Periodic solutions and chaos in a delay-differential equation modelling haematopoesis
• Some global bifurcations of two-dimensional endomorphisms by use of critical lines
• EXTENSIONS OF THE NOTION OF CHAOTIC AREA IN SECOND-ORDER ENDOMORPHISMS
• Annular chaotic areas

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