Response of an oscillatory differential delay equation to a single stimulus

Journal of Mathematical Biology ◽

10.1007/s00285-016-1051-z ◽

2016 ◽

Vol 74 (5) ◽

pp. 1139-1196 ◽

Author(s):

Michael C. Mackey ◽

Marta Tyran-Kamińska ◽

Hans-Otto Walther

Keyword(s):

Single Stimulus ◽

Delay Equation ◽

Differential Delay Equation ◽

Differential Delay

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Periodic solutions of a differential-delay equation and the fixed point index

Applicable Analysis ◽

10.1080/00036818908839865 ◽

1989 ◽

Vol 33 (1-2) ◽

pp. 119-126 ◽

Author(s):

Steven A. Chapin

Keyword(s):

Fixed Point ◽

Periodic Solutions ◽

Fixed Point Index ◽

Delay Equation ◽

Point Index ◽

Differential Delay Equation ◽

Differential Delay

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GLOBAL ASYMPTOTIC STABILITY IN A DIFFERENTIAL DELAY EQUATION MODELING MEGAKARYOPOIESIS

Functional Differential Equations ◽

10.26351/fde/28/3-4/2 ◽

2021 ◽

Vol 28 (3) ◽

pp. 103-116

Author(s):

A. IVANOV

Keyword(s):

Asymptotic Stability ◽

Global Asymptotic Stability ◽

Delay Equation ◽

Equation Modeling ◽

Differential Delay Equation ◽

Differential Delay

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Strange Limit Cycles, Chaos, and Invariant Measure for a Simple Differential-Delay Equation

Erwin-Riesch Workshop: System Analysis of Biological Processes ◽

10.1007/978-3-663-19445-3_6 ◽

1987 ◽

pp. 73-81

Author(s):

Uwe an der Heiden

Keyword(s):

Invariant Measure ◽

Limit Cycles ◽

Delay Equation ◽

Differential Delay Equation ◽

Differential Delay

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Response of an oscillatory differential delay equation to a periodic stimulus

Journal of Mathematical Biology ◽

10.1007/s00285-018-1322-y ◽

2019 ◽

Vol 78 (6) ◽

pp. 1637-1679 ◽

Author(s):

Daniel C. De Souza ◽

Michael C. Mackey

Keyword(s):

Delay Equation ◽

Differential Delay Equation ◽

Differential Delay ◽

Periodic Stimulus

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A differential delay equation with wideband noise perturbations

Stochastic Processes and their Applications ◽

10.1016/0304-4149(90)90004-c ◽

1990 ◽

Vol 35 (2) ◽

pp. 231-249 ◽

Author(s):

G. Yin ◽

K.M. Ramachandran

Keyword(s):

Delay Equation ◽

Differential Delay Equation ◽

Differential Delay ◽

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Global continuation and complicated trajectories for periodic solutions of a differential-delay equation

Proceedings of Symposia in Pure Mathematics - Nonlinear Functional Analysis and Its Applications ◽

10.1090/pspum/045.2/843604 ◽

1986 ◽

pp. 155-167 ◽

Author(s):

John Mallet-Paret ◽

Roger D. Nussbaum

Keyword(s):

Periodic Solutions ◽

Delay Equation ◽

Differential Delay Equation ◽

Differential Delay ◽

Global Continuation

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Shape of transition layers in a differential-delay equation

IMA Journal of Applied Mathematics ◽

10.1093/imamat/hxx011 ◽

2017 ◽

Vol 82 (3) ◽

pp. 681-696 ◽

Author(s):

Jonathan A. D. Wattis

Keyword(s):

Delay Equation ◽

Differential Delay Equation ◽

Transition Layers ◽

Differential Delay

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Square wave periodic solutions in a singular differential delay equation

Journal of Coupled Systems and Multiscale Dynamics ◽

10.1166/jcsmd.2018.1152 ◽

2018 ◽

Vol 6 (2) ◽

pp. 136-146

Author(s):

Anatoli F. Ivanov ◽

Erik I. Verriest

Keyword(s):

Periodic Solutions ◽

Delay Equation ◽

Differential Delay Equation ◽

Square Wave ◽

Differential Delay

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Analysis of anNth-order nonlinear differential-delay equation

Physical Review A ◽

10.1103/physreva.39.197 ◽

1989 ◽

Vol 39 (1) ◽

pp. 197-205 ◽

Author(s):

Réal Vallée ◽

Christopher Marriott

Keyword(s):

Delay Equation ◽

Differential Delay Equation ◽

Differential Delay

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Periodic solutions of a singular differential delay equation with the Farey-type nonlinearity

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.10.006 ◽

2005 ◽

Vol 180 (1) ◽

pp. 137-145

Author(s):

Anatoli Ivanov ◽

Eduardo Liz

Keyword(s):

Periodic Solutions ◽

Delay Equation ◽

Differential Delay Equation ◽

Differential Delay

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