Steady-state mode interactions of radially symmetric modes for the Lugiato-Lefever equation on a disk

Tomoyuki Miyaji;  ; Yoshio Tsutsumi;

doi:10.3934/cpaa.2018078

Steady-state mode interactions of radially symmetric modes for the Lugiato-Lefever equation on a disk

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2018078 ◽

2018 ◽

Vol 17 (4) ◽

pp. 1633-1650

Author(s):

Tomoyuki Miyaji ◽

◽

Yoshio Tsutsumi ◽

Keyword(s):

Steady State ◽

Steady State Mode ◽

Mode Interactions

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High Corank Steady-State Mode Interactions on a Rectangle

Bifurcation and Symmetry ◽

10.1007/978-3-0348-7536-3_3 ◽

1992 ◽

pp. 23-33 ◽

Cited By ~ 1

Author(s):

Peter Ashwin

Keyword(s):

Steady State ◽

Steady State Mode ◽

Mode Interactions

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Hopf/Steady State Mode Interactions

Numerical Bifurcation Analysis for Reaction-Diffusion Equations - Springer Series in Computational Mathematics ◽

10.1007/978-3-662-04177-2_13 ◽

2000 ◽

pp. 283-303

Author(s):

Zhen Mei

Keyword(s):

Steady State ◽

Steady State Mode ◽

Mode Interactions

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Steady-state mode interactions in the presence of 𝑂(2)-symmetry and in nonflux boundary value problems

Contemporary Mathematics - Multiparameter Bifurcation Theory ◽

10.1090/conm/056/855084 ◽

1986 ◽

pp. 53-68 ◽

Cited By ~ 33

Author(s):

G. Dangelmayr ◽

D. Armbruster

Keyword(s):

Steady State ◽

Boundary Value Problems ◽

Boundary Value ◽

Steady State Mode ◽

Mode Interactions

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Hopf-steady-state mode interactions with 0(2) symmetry

Dynamics and Stability of Systems ◽

10.1080/02681119108806113 ◽

1991 ◽

Vol 6 (2) ◽

pp. 149-171 ◽

Cited By ~ 12

Author(s):

Andrew Hill ◽

Ian Stewart

Keyword(s):

Steady State ◽

Steady State Mode ◽

Mode Interactions

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Periodic and Steady-State Mode Interactions Lead to Tori

SIAM Journal on Applied Mathematics ◽

10.1137/0137003 ◽

1979 ◽

Vol 37 (1) ◽

pp. 22-48 ◽

Cited By ~ 128

Author(s):

W. F. Langford

Keyword(s):

Steady State ◽

Steady State Mode ◽

Mode Interactions

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Numerical methods for steady-state mode interactions

IMA Journal of Numerical Analysis ◽

10.1093/imanum/16.3.435 ◽

1996 ◽

Vol 16 (3) ◽

pp. 435-456 ◽

Cited By ~ 1

Author(s):

P. Aston

Keyword(s):

Steady State ◽

Numerical Methods ◽

Steady State Mode ◽

Mode Interactions

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Steady/Steady State Mode Interactions

Numerical Bifurcation Analysis for Reaction-Diffusion Equations - Springer Series in Computational Mathematics ◽

10.1007/978-3-662-04177-2_12 ◽

2000 ◽

pp. 255-281

Author(s):

Zhen Mei

Keyword(s):

Steady State ◽

Steady State Mode ◽

Mode Interactions

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Steady-state mode interactions in the presence of 0(2)-symmetry

Dynamics and Stability of Systems ◽

10.1080/02681118608806011 ◽

1986 ◽

Vol 1 (2) ◽

pp. 159-185 ◽

Cited By ~ 57

Author(s):

Gerhard Dangelmayr

Keyword(s):

Steady State ◽

Steady State Mode ◽

Mode Interactions

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Reformulation of the Fourier–Bessel steady state mode solver

Optics Communications ◽

10.1016/j.optcom.2016.05.006 ◽

2016 ◽

Vol 375 ◽

pp. 63-71 ◽

Cited By ~ 4

Author(s):

Robert C. Gauthier

Keyword(s):

Steady State ◽

Steady State Mode ◽

Mode Solver

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Autodyne effect application for stability analysis of the steady-state mode of UHF oscillating systems

2017 XI International Conference on Antenna Theory and Techniques (ICATT) ◽

10.1109/icatt.2017.7972657 ◽

2017 ◽

Author(s):

G. P. Ermak ◽

A. S. Vasiliev ◽

V. Ya. Noskov ◽

K. A. Ignatkov ◽

A. P. Chupahin ◽

...

Keyword(s):

Steady State ◽

Stability Analysis ◽

Steady State Mode ◽

Oscillating Systems ◽

Autodyne Effect

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