COMPLEX PATTERNS ON THE PLANE: DIFFERENT TYPES OF BASIN FRACTALIZATION IN A TWO-DIMENSIONAL MAPPING

DOI10.1142/S0218127403006558zbMath1056.37060arXivnlin/0204028OpenAlexW2102296517MaRDI QIDQ4653771

Danièle Fournier-Prunaret, Ricardo López-Ruiz

Publication date: 8 March 2005

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

Full work available at URL: https://arxiv.org/abs/nlin/0204028

zbMATH Keywords

invariant setsself-similaritycritical curvesbasinsfractalizationtwo-dimensional noninvertible mapscontact bifurcationsabsorbing and chaotic areasComplex patterns

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99)

Related Items (7)

BIFURCATIONS OF STABLE SETS IN NONINVERTIBLE PLANAR MAPS ⋮ \(Awaking\) and \(sleeping\) of a complex network ⋮ BIFURCATIONS OF THE GLOBAL STABLE SET OF A PLANAR ENDOMORPHISM NEAR A CUSP SINGULARITY ⋮ Periodic and chaotic events in a discrete model of logistic type for the competitive interaction of two species ⋮ Solving an inverse parametric control problem for one-dimensional maps ⋮ Indirect Allee effect, bistability and chaotic oscillations in a predator--prey discrete model of logistic type ⋮ Strong persistence of an attractor and generalized partial synchronization in a coupled chaotic system

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• 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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