Bifurcations And Rotation Numbers for Maps of The Circle Associated With Flows on The Torus And Models of Cardiac Arrhythmias

DOI10.1080/02681119508806212zbMath0844.34041OpenAlexW2017106624MaRDI QIDQ4868254

Paul Glendinning

Publication date: 6 March 1996

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119508806212

zbMATH Keywords

rotation numbersdegree-one maps of the circle

Mathematics Subject Classification ID

Medical applications (general) (92C50) Dynamical systems and ergodic theory (37-XX)

Related Items (3)

Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model ⋮ Neuronal population dynamics with post inhibitory rebound:A reduction to piecewise linear discontinuous circle maps ⋮ Fractal Fourier spectra of Cherry flows

Cites Work

• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• Locking life-cycles onto seasons: Circle-map models of population dynamics and local adaptation
• Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Periodic pulsatile stimulation of a nonlinear oscillator
• Julia-Fatou-Sullivan theory for real one-dimensional dynamics
• Topologies and Rotation Numbers for Families of Monotone Functions on the Circle
• On Cherry flows
• Wandering Intervals for Lorenz Maps with Bounded Nonlinearity
• Rotation Numbers for Monotone Functions on the Circle
• Cardiac arrhythmias and circle maps−A classical problem
• Cardiac arrhythmias and circle mappings^a)
• Analytic Quasi-Periodic Curves of Discontinuous Type on a Torus

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