The structure of mode-locking regions of piecewise-linear continuous maps: I. Nearby mode-locking regions and shrinking points

DOI10.1088/1361-6544/aa4f49zbMath1395.37034OpenAlexW2560496289MaRDI QIDQ2958644

David J. W. Simpson

Publication date: 3 February 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/aa4f49

zbMATH Keywords

resonanceArnold tongueborder-collision bifurcationperiodicity region

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical aspects of attractors and their bifurcations (37G35) Bifurcation theory for difference equations (39A28)

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Cites Work

• Piecewise-smooth dynamical systems. Theory and applications
• CENTER BIFURCATION FOR TWO-DIMENSIONAL BORDER-COLLISION NORMAL FORM
• The Period Adding and Incrementing Bifurcations: From Rotation Theory to Applications
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