On the existence of low-period orbits in \(n\)-dimensional piecewise linear discontinuous maps

DOI10.1007/s11071-007-9318-yzbMath1170.70351OpenAlexW2058179280MaRDI QIDQ841776

S. S. Alam, Partha Sharathi Dutta, Soumitro Banerjee, Bitihotra Routroy

Publication date: 18 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-007-9318-y

zbMATH Keywords

periodic solutionsnormal formborder collision bifurcationdiscontinuous map

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Normal forms for nonlinear problems in mechanics (70K45)

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Cites Work

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• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• Micro-chaos in digital control
• Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits
• Bifurcations in two-dimensional piecewise smooth maps-theory and applications in switching circuits
• Nonsmooth bifurcations in a piecewise-linear model of the Colpitts oscillator
• NONLINEAR DYNAMICS OF A CLASS OF ANALOG-TO-DIGITAL CONVERTERS
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• Border-collision bifurcations in the buck converter
• BORDER-COLLISION BIFURCATIONS IN ONE-DIMENSIONAL DISCONTINUOUS MAPS
• DYNAMICS OF PIECEWISE LINEAR DISCONTINUOUS MAPS
• Circuit theory of power factor correction in switching converters
• Chaos in some 1-D discontinuous maps that appear in the analysis of electrical circuits
• Dynamics of a piecewise linear map with a gap

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