Bifurcations of hidden orbits in discontinuous maps

DOI10.1088/1361-6544/ac12aczbMath1480.37049OpenAlexW3183429923MaRDI QIDQ5003127

Mike R. Jeffrey, Viktor Avrutin

Publication date: 29 July 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ac12ac

zbMATH Keywords

border collision bifurcationsdiscontinuous mapsunstable orbitshidden orbitssteep mapsstiff maps

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems involving maps of the interval (37E05) Bifurcation theory for difference equations (39A28)

Related Items (3)

Periods 1 + 2 imply chaos in steep or nonsmooth maps ⋮ Analysis of atypical orbits in one-dimensional piecewise-linear discontinuous maps ⋮ The two-process model for sleep-wake regulation: a nonsmooth dynamics perspective

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