Pseudospectral Approximation of Hopf Bifurcation for Delay Differential Equations

B. A. J. de Wolff; F. Scarabel; S. M. Verduyn Lunel; O. Diekmann

doi:10.1137/20m1347577

Pseudospectral Approximation of Hopf Bifurcation for Delay Differential Equations

SIAM Journal on Applied Dynamical Systems ◽

10.1137/20m1347577 ◽

2021 ◽

Vol 20 (1) ◽

pp. 333-370

Author(s):

B. A. J. de Wolff ◽

F. Scarabel ◽

S. M. Verduyn Lunel ◽

O. Diekmann

Keyword(s):

Hopf Bifurcation ◽

Differential Equations ◽

Delay Differential Equations ◽

Delay Differential

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How do numerical methods perform for delay differential equations undergoing a Hopf bifurcation?

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00473-8 ◽

2000 ◽

Vol 125 (1-2) ◽

pp. 277-285 ◽

Cited By ~ 9

Author(s):

Neville J. Ford ◽

Volker Wulf

Keyword(s):

Hopf Bifurcation ◽

Numerical Methods ◽

Differential Equations ◽

Delay Differential Equations ◽

Delay Differential

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Preservation of Hopf bifurcation for neutral delay-differential equations byθ-methods

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.01.020 ◽

2013 ◽

Vol 248 ◽

pp. 76-87 ◽

Cited By ~ 3

Author(s):

Huan Su ◽

Wenxue Li ◽

Xiaohua Ding

Keyword(s):

Hopf Bifurcation ◽

Differential Equations ◽

Delay Differential Equations ◽

Neutral Delay ◽

Neutral Delay Differential Equations ◽

Delay Differential

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Numerical Hopf bifurcation for a class of delay differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(99)00181-8 ◽

2000 ◽

Vol 115 (1-2) ◽

pp. 601-616 ◽

Cited By ~ 38

Author(s):

Volker Wulf ◽

Neville J. Ford

Keyword(s):

Hopf Bifurcation ◽

Differential Equations ◽

Delay Differential Equations ◽

Delay Differential

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Generalized Hopf bifurcation in delay differential equations

Scientia Sinica Mathematica ◽

10.1360/012010-1047 ◽

2012 ◽

Vol 42 (2) ◽

pp. 91-105 ◽

Cited By ~ 10

Author(s):

ShangJiang GUO ◽

JianHong WU

Keyword(s):

Hopf Bifurcation ◽

Differential Equations ◽

Delay Differential Equations ◽

Generalized Hopf Bifurcation ◽

Delay Differential

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STABILITY OF COUPLED DELAY DIFFERENTIAL EQUATIONS NEAR HOPF BIFURCATION

EQUADIFF 2003 ◽

10.1142/9789812702067_0170 ◽

2005 ◽

Author(s):

FATIHCAN M. ATAY

Keyword(s):

Hopf Bifurcation ◽

Differential Equations ◽

Delay Differential Equations ◽

Delay Differential

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Hopf bifurcation via the Poincaré procedure in delay-differential equations with two delays

Revista Matemática Complutense ◽

10.1007/s13163-012-0099-6 ◽

2012 ◽

Vol 26 (1) ◽

pp. 193-213

Author(s):

M. L. Hbid ◽

E. Sánchez ◽

R. Ouifki

Keyword(s):

Hopf Bifurcation ◽

Differential Equations ◽

Delay Differential Equations ◽

Two Delays ◽

Delay Differential

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Numerical Hopf bifurcation of linear multistep methods for a class of delay differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.12.013 ◽

2009 ◽

Vol 208 (2) ◽

pp. 462-474 ◽

Cited By ~ 11

Author(s):

M.Z. Liu ◽

Qiubao Wang

Keyword(s):

Hopf Bifurcation ◽

Differential Equations ◽

Delay Differential Equations ◽

Multistep Methods ◽

Linear Multistep Methods ◽

Delay Differential

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Double Hopf bifurcation in delay differential equations

Arab Journal of Mathematical Sciences ◽

10.1016/j.ajmsc.2013.10.002 ◽

2014 ◽

Vol 20 (2) ◽

pp. 280-301 ◽

Cited By ~ 2

Author(s):

Redouane Qesmi ◽

Mohamed Ait Babram

Keyword(s):

Hopf Bifurcation ◽

Differential Equations ◽

Delay Differential Equations ◽

Double Hopf Bifurcation ◽

Delay Differential

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Hopf bifurcation in numerical approximation of a class delay differential equations

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00546-5 ◽

2003 ◽

Vol 146 (2-3) ◽

pp. 335-349 ◽

Cited By ~ 21

Author(s):

Chunrui Zhang ◽

Mingzhu Liu ◽

Baodong Zheng

Keyword(s):

Hopf Bifurcation ◽

Differential Equations ◽

Delay Differential Equations ◽

Numerical Approximation ◽

Delay Differential

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Numerical Hopf bifurcation of Runge–Kutta methods for a class of delay differential equations

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2009.04.008 ◽

2009 ◽

Vol 42 (5) ◽

pp. 3087-3099 ◽

Cited By ~ 17

Author(s):

Qiubao Wang ◽

Dongsong Li ◽

M.Z. Liu

Keyword(s):

Hopf Bifurcation ◽

Differential Equations ◽

Delay Differential Equations ◽

Runge Kutta ◽

Delay Differential

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