Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I.

George Bard Ermentrout; Nancy Kopell

doi:10.1137/0515019

Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I.

SIAM Journal on Mathematical Analysis ◽

10.1137/0515019 ◽

1984 ◽

Vol 15 (2) ◽

pp. 215-237 ◽

Cited By ~ 327

Author(s):

George Bard Ermentrout ◽

Nancy Kopell

Keyword(s):

Coupled Oscillators ◽

Weakly Coupled Oscillators ◽

Weakly Coupled ◽

A Chain

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Frequency Plateaus in a Chain of Weakly Coupled Oscillators

Nonlinear partial differential equations - Contemporary Mathematics ◽

10.1090/conm/017/34 ◽

1983 ◽

pp. 401-404

Author(s):

Nancy Kopell

Keyword(s):

Coupled Oscillators ◽

Weakly Coupled Oscillators ◽

Weakly Coupled ◽

A Chain

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Weakly Coupled Oscillators

An Introduction to Modeling Neuronal Dynamics - Texts in Applied Mathematics ◽

10.1007/978-3-319-51171-9_28 ◽

2017 ◽

pp. 235-242

Author(s):

Christoph Börgers

Keyword(s):

Coupled Oscillators ◽

Weakly Coupled Oscillators ◽

Weakly Coupled

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The mean field of weakly coupled oscillators exhibits non-smooth phase noise

EPL (Europhysics Letters) ◽

10.1209/epl/i2005-10400-0 ◽

2006 ◽

Vol 73 (3) ◽

pp. 328-334 ◽

Cited By ~ 3

Author(s):

J. P Gleeson

Keyword(s):

Phase Noise ◽

Coupled Oscillators ◽

Mean Field ◽

Weakly Coupled Oscillators ◽

Weakly Coupled ◽

The Mean

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The autoresonance threshold in a system of weakly coupled oscillators

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543807060077 ◽

2007 ◽

Vol 259 (S2) ◽

pp. S111-S123 ◽

Cited By ~ 2

Author(s):

S. G. Glebov ◽

O. M. Kiselev ◽

V. A. Lazarev

Keyword(s):

Coupled Oscillators ◽

Weakly Coupled Oscillators ◽

Weakly Coupled

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Matrix perturbation analysis for weakly coupled oscillators

Systems & Control Letters ◽

10.1016/j.sysconle.2008.10.002 ◽

2009 ◽

Vol 58 (2) ◽

pp. 148-154 ◽

Cited By ~ 9

Author(s):

Zhiyong Chen ◽

Tetsuya Iwasaki

Keyword(s):

Perturbation Analysis ◽

Coupled Oscillators ◽

Matrix Perturbation ◽

Weakly Coupled Oscillators ◽

Weakly Coupled ◽

Matrix Perturbation Analysis

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A secondary bifurcation problem of weakly coupled oscillators with time delay

Japan Journal of Applied Mathematics ◽

10.1007/bf03167099 ◽

1986 ◽

Vol 3 (2) ◽

pp. 223-247 ◽

Cited By ~ 3

Author(s):

Yoshihisa Morita

Keyword(s):

Time Delay ◽

Coupled Oscillators ◽

Bifurcation Problem ◽

Weakly Coupled Oscillators ◽

Weakly Coupled ◽

Secondary Bifurcation

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Synchronization of weakly coupled oscillators: coupling, delay and topology

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/46/50/505101 ◽

2013 ◽

Vol 46 (50) ◽

pp. 505101 ◽

Cited By ~ 19

Author(s):

Enrique Mallada ◽

Ao Tang

Keyword(s):

Coupled Oscillators ◽

Coupling Delay ◽

Weakly Coupled Oscillators ◽

And Topology ◽

Weakly Coupled

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Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators

Nonlinearity ◽

10.1088/0951-7715/9/2/009 ◽

1996 ◽

Vol 9 (2) ◽

pp. 433-457 ◽

Cited By ~ 74

Author(s):

Dario Bambusi

Keyword(s):

Exponential Stability ◽

Coupled Oscillators ◽

Weakly Coupled Oscillators ◽

Weakly Coupled

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Long-Time Behavior of Weakly Coupled Oscillators

Journal of Statistical Physics ◽

10.1007/s10955-006-9133-8 ◽

2006 ◽

Vol 123 (6) ◽

pp. 1311-1337 ◽

Cited By ~ 20

Author(s):

M. I. Freidlin ◽

A. D. Wentzell

Keyword(s):

Coupled Oscillators ◽

Time Behavior ◽

Long Time Behavior ◽

Weakly Coupled Oscillators ◽

Weakly Coupled ◽

Long Time

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Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators

Nonlinearity ◽

10.1088/0951-7715/7/6/006 ◽

1994 ◽

Vol 7 (6) ◽

pp. 1623-1643 ◽

Cited By ~ 701

Author(s):

R S MacKay ◽

S Aubry

Keyword(s):

Coupled Oscillators ◽

Weakly Coupled Oscillators ◽

Weakly Coupled

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