Synchronization of slow-fast systems

[1]  Andrey Shilnikov,et al.  Fast reciprocal inhibition can synchronize bursting neurons. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Xiaoming Liang,et al.  Phase synchronization of inhibitory bursting neurons induced by distributed time delays in chemical coupling. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Kristina Todorović,et al.  Synchronization of bursting neurons with delayed chemical synapses. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Andrey Shilnikov,et al.  When weak inhibition synchronizes strongly desynchronizing networks of bursting neurons. , 2008, Physical review letters.

[5]  Albert C. J. Luo Global tangency and Transversality of Periodic Flows and Chaos in a Periodically Forced, damped Duffing oscillator , 2008, Int. J. Bifurc. Chaos.

[6]  Alessandro Torcini,et al.  Dynamical phases of the Hindmarsh-Rose neuronal model: studies of the transition from bursting to spiking chaos. , 2007, Chaos.

[7]  Kristina Todorović,et al.  Influence of noise on dynamics of coupled bursters. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Jürgen Kurths,et al.  Network mechanism for burst generation. , 2007, Physical review letters.

[9]  Arkady Pikovsky,et al.  A universal concept in nonlinear sciences , 2006 .

[10]  P. Bressloff,et al.  Bursting: The genesis of rhythm in the nervous system , 2005 .

[11]  Allan R. Willms,et al.  BIFURCATIONS IN THE FAST DYNAMICS OF NEURONS: IMPLICATIONS FOR BURSTING , 2005 .

[12]  Martin Hasler,et al.  Synchronization of bursting neurons: what matters in the network topology. , 2005, Physical review letters.

[13]  Andrey Shilnikov,et al.  Transition between tonic spiking and bursting in a neuron model via the blue-sky catastrophe. , 2005, Physical review letters.

[14]  A Vulpiani,et al.  Multiple-scale analysis and renormalization for preasymptotic scalar transport. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Yu Jiang Comment on "transitions to synchrony in coupled bursting neurons". , 2004, Physical review letters.

[16]  E. Knobloch,et al.  Relaxation oscillations in a nearly inviscid Faraday system , 2004 .

[17]  Hugo L D de S Cavalcante,et al.  Experimental deterministic coherence resonance. , 2004, Physical review letters.

[18]  Mingzhou Ding,et al.  Transitions to synchrony in coupled bursting neurons. , 2004, Physical review letters.

[19]  Arkady Pikovsky,et al.  Slow-fast dynamics in Josephson junctions , 2003 .

[20]  Ulrich Parlitz,et al.  Synchronization and antisynchronization of chaotic power drop-outs and jump-ups of coupled semiconductor lasers. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Samuel Paolucci,et al.  On slow manifolds of chemically reactive systems , 2002 .

[22]  K. Kaneko,et al.  How fast elements can affect slow dynamics , 2001, nlin/0108038.

[23]  Jürgen Kurths,et al.  Synchronization: Phase locking and frequency entrainment , 2001 .

[24]  Jürgen Kurths,et al.  Synchronization - A Universal Concept in Nonlinear Sciences , 2001, Cambridge Nonlinear Science Series.

[25]  A. Selverston,et al.  Synchronous Behavior of Two Coupled Biological Neurons , 1998, chao-dyn/9811010.

[26]  Charles J. Wilson,et al.  Membrane potential synchrony of simultaneously recorded striatal spiny neurons in vivo , 1998, Nature.

[27]  J. Hindmarsh,et al.  A model of neuronal bursting using three coupled first order differential equations , 1984, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[28]  S. Rudner,et al.  A subharmonic Josephson relaxation oscillator—amplification and locking , 1981 .

[29]  M. Rabinovich,et al.  Stochastic oscillations in dissipative systems , 1981 .

[30]  P. Richards,et al.  Relaxation Oscillations in Point Contact Josephson Junctions. , 1975 .

[31]  D. Sullivan,et al.  Generation of Harmonics and Subharmonics of the Josephson Oscillation , 1970 .

[32]  Frank L. Vernon,et al.  Relaxation Oscillations in Josephson Junctions , 1968 .

[33]  N. Bogolyubov,et al.  Asymptotic Methods in the Theory of Nonlinear Oscillations , 1961 .

[34]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.