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1

Synchronization of Pulse-Coupled Biological Oscillators

Renato E. Mirollo and Steven H. Strogatz

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 1.46 MB

english, 1990

2

Dynamics of a large system of coupled nonlinear oscillators

Paul C. Matthews, Renato E. Mirollo, Steven H. Strogatz

Journal:

Physica D: Nonlinear Phenomena

Year:

1991

Language:

english

File:

PDF, 1.92 MB

english, 1991

3

Phase-locking and critical phenomena in lattices of coupled nonlinear oscillators with random intrinsic frequencies

Steven H. Strogatz, Renato E. Mirollo

Journal:

Physica D: Nonlinear Phenomena

Year:

1988

Language:

english

File:

PDF, 1.27 MB

english, 1988

4

The spectrum of the locked state for the Kuramoto model of coupled oscillators

Renato E. Mirollo, Steven H. Strogatz

Journal:

Physica D: Nonlinear Phenomena

Year:

2005

Language:

english

File:

PDF, 248 KB

english, 2005

5

Collective dynamics of coupled oscillators with random pinning

Steven H. Strogatz, Charles M. Marcus, Robert M. Westervelt, Renato E. Mirollo

Journal:

Physica D: Nonlinear Phenomena

Year:

1989

Language:

english

File:

PDF, 3.40 MB

english, 1989

6

Stability of incoherence in a population of coupled oscillators

Steven H. Strogatz, Renato E. Mirollo

Journal:

Journal of Statistical Physics

Year:

1991

Language:

english

File:

PDF, 1013 KB

english, 1991

7

Dynamics of a globally coupled oscillator array

Kwok Yeung Tsang, Renato E. Mirollo, Steven H. Strogatz, Kurt Wiesenfeld

Journal:

Physica D: Nonlinear Phenomena

Year:

1991

Language:

english

File:

PDF, 909 KB

english, 1991

8

Synchronization of Pulse-Coupled Biological Oscillators

Mirollo, Renato E., Strogatz, Steven H.

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 2.02 MB

english, 1990

9

Hyperbolic geometry of Kuramoto oscillator networks

Chen, Bolun, Engelbrecht, Jan R, Mirollo, Renato

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2017

Language:

english

File:

PDF, 1.65 MB

english, 2017

10

Amplitude death in an array of limit-cycle oscillators

Renato E. Mirollo, Steven H. Strogatz

Journal:

Journal of Statistical Physics

Year:

1990

Language:

english

File:

PDF, 691 KB

english, 1990

11

Structure of Long-Term Average Frequencies for Kuramoto Oscillator Systems

Engelbrecht, Jan R., Mirollo, Renato

Journal:

Physical Review Letters

Year:

2012

Language:

english

File:

PDF, 162 KB

english, 2012

12

Dynamical phase transitions in periodically driven model neurons

Engelbrecht, Jan R., Mirollo, Renato

Journal:

Physical Review E

Year:

2009

Language:

english

File:

PDF, 538 KB

english, 2009

13

Jump Bifurcation and Hysteresis in an Infinite-Dimensional Dynamical System of Coupled Spins

Renato E. Mirollo and Steven H. Strogatz

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 1.06 MB

english, 1990

14

Classification of attractors for systems of identical coupled Kuramoto oscillators

Engelbrecht, Jan R., Mirollo, Renato

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2014

Language:

english

File:

PDF, 1.17 MB

english, 2014

15

Reversibility and noise sensitivity of Josephson arrays

Tsang, Kwok Yeung, Mirollo, Renato E., Strogatz, Steven H., Wiesenfeld, Kurt

Journal:

Physical Review Letters

Year:

1991

Language:

english

File:

PDF, 700 KB

english, 1991

16

Jump Bifurcation and Hysteresis in an Infinite-Dimensional Dynamical System of Coupled Spins

Mirollo, Renato E., Strogatz, Steven H.

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 1.37 MB

english, 1990

17

Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action

Marvel, Seth A., Mirollo, Renato E., Strogatz, Steven H.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2009

Language:

english

File:

PDF, 2.67 MB

english, 2009

18

Splay-Phase Orbits for Equivariant Flows on Tori

Mirollo, Renato E.

Journal:

SIAM Journal on Mathematical Analysis

Year:

1994

Language:

english

File:

PDF, 493 KB

english, 1994

19

Rhythm-induced spike-timing patterns characterized by 1D firing maps

Jan R. Engelbrecht, Kristen Loncich, Renato Mirollo, Michael E. Hasselmo, Motoharu Yoshida

Journal:

Journal of Computational Neuroscience

Year:

2013

Language:

english

File:

PDF, 979 KB

english, 2013

20

Splay states in globally coupled Josephson arrays: Analytical prediction of Floquet multipliers

Strogatz, Steven H., Mirollo, Renato E.

Journal:

Physical Review E

Year:

1993

Language:

english

File:

PDF, 308 KB

english, 1993

21

Scaling of spike-timing based neuron model for mammalian olfaction with network size

Bolun Chen,Jan R Engelbrecht,Renato Mirollo

Journal:

BMC Neuroscience

Year:

2014

Language:

english

File:

PDF, 198 KB

english, 2014

22

Splay states in networks of identical integrate-and-fire neurons

Jan R Engelbrecht,Bolun Chen,Renato Mirollo

Journal:

BMC Neuroscience

Year:

2014

Language:

english

File:

PDF, 196 KB

english, 2014

23

The asymptotic behavior of the order parameter for the infinite-N Kuramoto model

Mirollo, Renato E.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2012

Language:

english

File:

PDF, 347 KB

english, 2012

24

Coupled nonlinear oscillators below the synchronization threshold: Relaxation by generalized Landau damping

Strogatz, Steven H., Mirollo, Renato E., Matthews, Paul C.

Journal:

Physical Review Letters

Year:

1992

Language:

english

File:

PDF, 700 KB

english, 1992

25

-function pulse coupling

Chen, Bolun, Engelbrecht, Jan R., Mirollo, Renato

Journal:

Physical Review E

Year:

2017

Language:

english

File:

PDF, 1.31 MB

english, 2017

26

Dynamics of the Kuramoto-Sakaguchi oscillator network with asymmetric order parameter

Chen, Bolun, Engelbrecht, Jan R., Mirollo, Renato

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2019

File:

PDF, 1.26 MB

2019