Bifurcations occurring in absorptive and chaotic areas

DOI10.1080/00207728708963971zbMath0617.58026OpenAlexW2019440289MaRDI QIDQ4727076

J. C. Cathala

Publication date: 1987

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728708963971

zbMATH Keywords

bifurcationsattractorabsorptive areaschaotic areasattractive limit sets

Mathematics Subject Classification ID

Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Some global bifurcations of two-dimensional endomorphisms by use of critical lines ⋮ Homoclinic bifurcations in n-dimensional endomorphisms, due to expanding periodic points ⋮ On the boundaries of absorbing and chaotic areas in second-order endomorphisms ⋮ ABOUT A NEW CLASS OF INVARIANT AREAS GENERATED BY TWO-DIMENSIONAL ENDOMORPHISMS ⋮ Chaos and fractal properties induced by noninvertibility of models in the form of maps ⋮ FRACTALIZATION OF BASIN BOUNDARY IN TWO-DIMENSIONAL NONINVERTIBLE MAPS ⋮ ON CRITICAL CURVES IN TWO-DIMENSIONAL ENDOMORPHISMS

Cites Work

• A two-dimensional mapping with a strange attractor
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