On the Embedding of a (p-1)-Dimensional Noninvertible Map into a p-Dimensional Invertible Map (p=2,3)

DOI10.1142/S0218127403007631zbMath1056.37021OpenAlexW2157121755MaRDI QIDQ4653864

Clara Grácio, Christian Mira

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127403007631

zbMATH Keywords

endomorphismEmbeddingsaddle manifoldsnoninvertible mapinvertible mapdiffomorphism

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Invariant manifold theory for dynamical systems (37D10)

Related Items (6)

Nonlinear Maps: From the Toulouse Colloqium (1973) to NOMA’13 ⋮ Noninvertible maps and their embedding into higher dimensional invertible maps ⋮ BASIN FRACTALIZATIONS GENERATED BY A TWO-DIMENSIONAL FAMILY OF (Z₁–Z₃–Z₁) MAPS ⋮ Homoclinic and Big Bang Bifurcations of an Embedding of 1D Allee’s Functions into a 2D Diffeomorphism ⋮ Unnamed Item ⋮ Dynamical Analysis and Big Bang Bifurcations of 1D and 2D Gompertz's Growth Functions

Cites Work

• On models with non-rough Poincaré homoclinic curves
• IMPLICIT APPROXIMATION OF A STABLE SADDLE MANIFOLD GENERATED BY A TWO-DIMENSIONAL QUADRATIC MAP
• Homoclinic and Heteroclinic Situations Specific to Two-Dimensional Noninvertible Maps
• EXTENSIONS OF THE NOTION OF CHAOTIC AREA IN SECOND-ORDER ENDOMORPHISMS
• Annular chaotic areas
• PLANE MAPS WITH DENOMINATOR I: SOME GENERIC PROPERTIES

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