Noninvertible maps and their embedding into higher dimensional invertible maps

DOI10.1134/S1560354710020127zbMath1203.37032OpenAlexW2030716406MaRDI QIDQ618200

Christian Mira

Publication date: 14 January 2011

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354710020127

zbMATH Keywords

basin of attractiondiscrete dynamicsnoninvertible mapsglobal bifurcationsfractal setsembedding problemscritical sets

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10)

Cites Work

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• Recurrences and discrete dynamic systems
• On models with non-rough Poincaré homoclinic curves
• Subthreshold oscillations in a map-based neuron model
• BASIN FRACTALIZATIONS GENERATED BY A TWO-DIMENSIONAL FAMILY OF (Z₁–Z₃–Z₁) MAPS
• Mathematical Problems of Nonlinear Dynamics: A Tutorial
• On Some Properties of Invariant Sets of Two-Dimensional Noninvertible Maps
• On the Embedding of a (p-1)-Dimensional Noninvertible Map into a p-Dimensional Invertible Map (p=2,3)
• Plane Maps with Denominator. Part II: Noninvertible Maps with Simple Focal Points
• ORIGIN OF CHAOS IN A TWO-DIMENSIONAL MAP MODELING SPIKING-BURSTING NEURAL ACTIVITY
• PLANE MAPS WITH DENOMINATOR I: SOME GENERIC PROPERTIES
• PLANE MAPS WITH DENOMINATOR. PART III: NONSIMPLE FOCAL POINTS AND RELATED BIFURCATIONS
• A METHOD TO CALCULATE BASIN BIFURCATION SETS FOR A TWO-DIMENSIONAL NONINVERTIBLE MAP
• SLOW–FAST DYNAMICS GENERATED BY NONINVERTIBLE PLANE MAPS

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