On a bifurcation structure mimicking period adding

DOI10.1098/RSPA.2010.0573zbMath1219.37064OpenAlexW2159134658WikidataQ57627289 ScholiaQ57627289MaRDI QIDQ3090308

Michael Schanz, Viktor Avrutin, Björn Schenke

Publication date: 28 August 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2010.0573

zbMATH Keywords

border collision bifurcationspiecewise smooth systemsnested period-incrementing bifurcation scenariosimple limiter control

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Dynamical systems in control (37N35) Dynamical systems involving maps of the interval (37E05)

Related Items (5)

Logistic-like and Gauss coupled maps: the born of period-adding cascades ⋮ Unstable Orbits and Milnor Attractors in the Discontinuous Flat Top Tent Map ⋮ The discontinuous flat top tent map and the nested period incrementing bifurcation structure ⋮ Nested mixed-mode oscillations ⋮ The Period Adding and Incrementing Bifurcations: From Rotation Theory to Applications

Cites Work

• Quantitative universality for a class of nonlinear transformations
• On multi-parametric bifurcations in a scalar piecewise-linear map
• On the fully developed bandcount adding scenario
• PIECEWISE CONSTANT SWITCHED DYNAMICAL SYSTEMS IN POWER ELECTRONICS
• Oversampled Sigma-Delta Modulation
• The effect of integrator leak in Sigma - Delta modulation
• BIFURCATIONS IN FLAT-TOPPED MAPS AND THE CONTROL OF CARDIAC CHAOS

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