Global bifurcations of a periodically forced biological oscillator (original) (raw)

Bifurcation and chaos in a periodically stimulated cardiac oscillator

Rafael Pérez Pascual

Physica D: Nonlinear Phenomena, 1983

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Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias

Leon Glass

Journal of Mathematical Biology, 1982

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Universal Bifurcations and the Classification of Cardiac Arrhythmias

Leon Glass

Annals of the New York Academy of Sciences, 1987

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Predicting the onset of period-doubling bifurcations in noisy cardiac systems

Leon Glass

Proceedings of the National Academy of Sciences of the United States of America, 2015

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Phase-locked rhythms in periodically stimulated heart cell aggregates

Leon Glass

American Journal of Physiology-Heart and Circulatory Physiology, 1988

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Evolution of rhythms during periodic stimulation of embryonic chick heart cell aggregates

Leon Glass

Circulation Research, 1991

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B.Tech Thesis (Physiological and Pathological Rhythms: Role of Feedback in Stability and Periodicity)

Celestine Preetham Lawrence

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Entrainment of aperiodic and periodic oscillations in the Mercury Beating Heart system using external periodic forcing

Iram de Nicolás

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Characterizing Spatial Dynamics of Bifurcation to Alternans in Isolated Whole Rabbit Hearts Based on Alternate Pacing

Xiaopeng Zhao

BioMed Research International, 2015

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Period-doubling bifurcation to alternans in paced cardiac tissue: Crossover from smooth to border-collision characteristics

Hana Dobrovolny

Physical review …, 2007

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Nonlinear Dynamics of Paced Cardiac Cells

alan garfinkel, James Weiss

2006

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Self-similarity in periodically forced oscillators

Jacques Bélair

Physics Letters A, 1983

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B.Tech Project Presentation (Physiological to Pathological Rhythms: Role of Feedback in Stability and Periodicity)

Celestine Preetham Lawrence

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Global bifurcation structure of a Bonhoeffer-van der Pol oscillator driven by periodic pulse trains

Michael Stiber

Biological Cybernetics, 1994

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Coexisting chaotic and multi-periodic dynamics in a model of cardiac alternans

juan diego restrepo

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2014

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How Physics can help in understanding Cardiac Rhythms Predicting a Control of complex oscillatory behavior

Letter Manh

Proceedings of the 2014 International Conference on Physics, 2014

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Periodic pulsatile stimulation of a nonlinear oscillator

Jacques Bélair

Journal of Mathematical Biology, 1986

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Period doubling cascades of limit cycles in cardiac action potential models as precursors to chaotic early Afterdepolarizations

M.A.K. Bulelzai

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Evidence for chaotic behavior in driven ventricles

Max Valentinuzzi

Biophysical Journal, 1989

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Amplitude equation approach to spatiotemporal dynamics of cardiac alternans

blas echebarria

2007

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Nonlinear dynamics of periodically paced cardiac tissue

Alena Talkachova

Nonlinear Dynamics, 2012

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Nonlinear dynamics, chaos and complex cardiac arrhythmias

Leon Glass

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1987

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Bifurcation and Chaos in a Model of Cardiac Early Afterdepolarizations

Arik Yochelis, James Weiss

Physical Review Letters, 2009

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Numerical Bifurcation Analysis of Pacemaker Dynamics in a Model of Smooth Muscle Cells

Hammed O Fatoyinbo, Bruce Van-Brunt

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Cardiac arrhythmias and circle maps��� A classical problem

Leon Glass

1991

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Bifurcations, chaos, and sensitivity to parameter variations in the Sato cardiac cell model

Ulrich Parlitz

Communications in Nonlinear Science and Numerical Simulation, 2016

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