Loading…
Dynamics of a ring of pulse-coupled oscillators: group-theoretic approach
We use group-theoretic methods to analyze phase-locking in a ring of identical integrate-and-fire oscillators with distributed delays. It is shown how certain phase-locked solutions emerge through symmetry breaking bifurcations as some characteristic delay of the system is varied. The reduction to a...
Saved in:
Main Authors: | P.C. Bressloff, S. Coombes, Barry J. De Souza |
---|---|
Format: | Default Article |
Published: |
1997
|
Subjects: | |
Online Access: | https://hdl.handle.net/2134/1724 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Loading…
Traveling waves in a chain of pulse-coupled oscillators
by: P.C. Bressloff, et al.
Published: (1998)
by: P.C. Bressloff, et al.
Published: (1998)
Loading…
Desynchronization, mode locking and bursting in strongly coupled integrate-and-fire oscillators
by: P.C. Bressloff, et al.
Published: (1998)
by: P.C. Bressloff, et al.
Published: (1998)
Loading…
Mean-field theory of globally coupled integrate-and-fire neural oscillators with dynamic synapses
by: P.C. Bressloff
Published: (1999)
by: P.C. Bressloff
Published: (1999)
Loading…
Spike train dynamics underlying pattern formation in integrate-and-fire oscillator networks
by: P.C. Bressloff, et al.
Published: (1998)
by: P.C. Bressloff, et al.
Published: (1998)
Loading…
A dynamical theory of spike train transitions in networks of integrate-and-fire oscillators
by: P.C. Bressloff, et al.
Published: (1999)
by: P.C. Bressloff, et al.
Published: (1999)
Loading…
Mode locking and Arnold tongues in integrate-and-fire neural oscillators
by: S. Coombes, et al.
Published: (1999)
by: S. Coombes, et al.
Published: (1999)
Loading…
Phase locking in networks of synaptically coupled McKean relaxation oscillators
by: S. Coombes
Published: (2001)
by: S. Coombes
Published: (2001)
Loading…
Intrinsic modulation of pulse-coupled integrate-and-fire neurons
by: S. Coombes, et al.
Published: (1997)
by: S. Coombes, et al.
Published: (1997)
Loading…
Traveling waves and pulses in a one-dimensional network of excitable integrate-and-fire neurons
by: P.C. Bressloff
Published: (1999)
by: P.C. Bressloff
Published: (1999)
Loading…
Spontaneous oscillations in a nonlinear delayed-feedback shunting model of the pupil light reflex
by: P.C. Bressloff, et al.
Published: (1998)
by: P.C. Bressloff, et al.
Published: (1998)
Loading…
Dynamics of compartmental model recurrent neural networks
by: P.C. Bressloff
Published: (1994)
by: P.C. Bressloff
Published: (1994)
Loading…
Dynamics of synaptically coupled integrate-and-fire-or-burst neurons
by: S. Coombes
Published: (2003)
by: S. Coombes
Published: (2003)
Loading…
Synchrony in an array of integrate-and-fire neurons with dendritic structure
by: P.C. Bressloff, et al.
Published: (1997)
by: P.C. Bressloff, et al.
Published: (1997)
Loading…
Saltatory waves in the spike-diffuse-spike model of active dendritic spines
by: S. Coombes, et al.
Published: (2003)
by: S. Coombes, et al.
Published: (2003)
Loading…
Solitary waves in a model of dendritic cable with active spines
by: S. Coombes, et al.
Published: (1999)
by: S. Coombes, et al.
Published: (1999)
Loading…
The dynamical effects of dendritic structure on neural systems
by: Barry J. De Souza
Published: (2000)
by: Barry J. De Souza
Published: (2000)
Loading…
Stochastic dynamics of the diffusive Haken model with subthreshold periodic forcing
by: P.C. Bressloff, et al.
Published: (1998)
by: P.C. Bressloff, et al.
Published: (1998)
Loading…
Dynamical mechanism for sharp orientation tuning in an integrate-and-fire model of a cortical hypercolumn.
by: P.C. Bressloff, et al.
Published: (1999)
by: P.C. Bressloff, et al.
Published: (1999)
Loading…
The effects of quasi-active membrane on multiply periodic traveling waves in integrate-and-fire systems
by: Matthew P. James, et al.
Published: (2003)
by: Matthew P. James, et al.
Published: (2003)
Loading…
Chaotic Bloch oscillations in dissipative optical systems driven by a periodic train of coherent pulses
by: Alexey Verbitskiy, et al.
Published: (2023)
by: Alexey Verbitskiy, et al.
Published: (2023)
Loading…
Dynamics of synaptically coupled McKean neurons
by: Matthew G. Denman-Johnson
Published: (2004)
by: Matthew G. Denman-Johnson
Published: (2004)
Loading…
Neural networks, lattice instantons, and the anti-integrable limit
by: P.C. Bressloff
Published: (1995)
by: P.C. Bressloff
Published: (1995)
Loading…
New mechanism for neural pattern formation
by: P.C. Bressloff
Published: (1996)
by: P.C. Bressloff
Published: (1996)
Loading…
Spatiotemporal processing in neural networks with random synaptic background activity
by: P.C. Bressloff
Published: (1995)
by: P.C. Bressloff
Published: (1995)
Loading…
Synaptically generated wave propagation in excitable neural media
by: P.C. Bressloff
Published: (1999)
by: P.C. Bressloff
Published: (1999)
Loading…
Period-adding bifurcations and chaos in a periodically stimulated excitable neural relaxation oscillator
by: S. Coombes, et al.
Published: (2000)
by: S. Coombes, et al.
Published: (2000)
Loading…
A continuum of weakly coupled oscillatory McKean neurons
by: Matthew G. Denman-Johnson, et al.
Published: (2003)
by: Matthew G. Denman-Johnson, et al.
Published: (2003)
Loading…
Wave group dynamics in weakly nonlinear long-wave models
by: Roger Grimshaw, et al.
Published: (2000)
by: Roger Grimshaw, et al.
Published: (2000)
Loading…
Will oscillating wave surge converters survive tsunamis?
by: L. O'Brien, et al.
Published: (2015)
by: L. O'Brien, et al.
Published: (2015)
Loading…
Calorimetric measurement of work for a driven harmonic oscillator
by: Rui Sampaio, et al.
Published: (2016)
by: Rui Sampaio, et al.
Published: (2016)
Loading…
Role of saddle tori in the mutual synchronization of periodic oscillations
by: Alexander G. Balanov, et al.
Published: (2005)
by: Alexander G. Balanov, et al.
Published: (2005)
Loading…
Two-dimensional pulse dynamics and the formation of bound states on electrified falling films
by: Mark G. Blyth, et al.
Published: (2018)
by: Mark G. Blyth, et al.
Published: (2018)
Loading…
Liapunov exponents and mode-locked solutions for integrate-and-fire dynamical systems
by: S. Coombes
Published: (1999)
by: S. Coombes
Published: (1999)
Loading…
Modulating pulse solutions for quasilinear wave equations
by: Mark D. Groves, et al.
Published: (2005)
by: Mark D. Groves, et al.
Published: (2005)
Loading…
Oscillations and waves in single- and multi-cellular systems with free calcium
by: Yulia Timofeeva
Published: (2003)
by: Yulia Timofeeva
Published: (2003)
Loading…
The pressure impulse of wave slamming on an oscillating wave energy converter
by: Emiliano Renzi, et al.
Published: (2018)
by: Emiliano Renzi, et al.
Published: (2018)
Loading…
High energy asymptotics and trace formulas for the perturbed harmonic oscillator
by: Ian Sorrell
Published: (2005)
by: Ian Sorrell
Published: (2005)
Loading…
Graded rings of rank 2 Sarkisov links
by: Gavin Brown, et al.
Published: (2010)
by: Gavin Brown, et al.
Published: (2010)
Loading…
Chemical reactions induced by oscillating external fields in weak thermal environments
by: Galen T. Craven, et al.
Published: (2015)
by: Galen T. Craven, et al.
Published: (2015)
Loading…
Experimental and theoretical characterisation of Josephson self-coupling in sub-terahertz flux-flow oscillator
by: D Gulevich, et al.
Published: (2013)
by: D Gulevich, et al.
Published: (2013)
Similar Items
-
Traveling waves in a chain of pulse-coupled oscillators
by: P.C. Bressloff, et al.
Published: (1998) -
Desynchronization, mode locking and bursting in strongly coupled integrate-and-fire oscillators
by: P.C. Bressloff, et al.
Published: (1998) -
Mean-field theory of globally coupled integrate-and-fire neural oscillators with dynamic synapses
by: P.C. Bressloff
Published: (1999) -
Spike train dynamics underlying pattern formation in integrate-and-fire oscillator networks
by: P.C. Bressloff, et al.
Published: (1998) -
A dynamical theory of spike train transitions in networks of integrate-and-fire oscillators
by: P.C. Bressloff, et al.
Published: (1999)