Synchronization of pulse-coupled oscillators with a refractory period and frequency distribution for a wireless sensor network.

The present paper considers the synchronization of globally pulse-coupled oscillators with a refractory period and frequency distribution. The oscillators are capable of achieving time synchronization for a practical wireless sensor network. Furthermore, as a result of the stability analysis of the synchronization, a procedure for designing the oscillators is provided: the determination of the allowable refractory period under a given frequency distribution range. These analytical results are verified by numerical examples.

[1]  Chen.  Threshold effects on synchronization of pulse-coupled oscillators. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  Umberto Spagnolini,et al.  "Small-world" effects of shadowing in pulse-coupled distributed time synchronization , 2007, IEEE Communications Letters.

[3]  Sergio D. Servetto,et al.  On the scalability of cooperative time synchronization in pulse-connected networks , 2005, IEEE Transactions on Information Theory.

[4]  Tetsuro Endo,et al.  Mode analysis of a ring of a large number of mutually coupled van der Pol oscillators , 1978 .

[5]  金子 邦彦.  Theory and applications of coupled map lattices , 1993 .

[6]  I-Jeng Wang,et al.  Decentralized synchronization protocols with nearest neighbor communication , 2004, SenSys '04.

[7]  Fikret Sivrikaya,et al.  Time synchronization in sensor networks: a survey , 2004, IEEE Network.

[8]  Hidehiro NAKANO,et al.  Synchronization from Pulse-Coupled Integrate-and-Fire Chaotic Oscillators , 2000 .

[9]  Radhika Nagpal,et al.  Firefly-inspired sensor network synchronicity with realistic radio effects , 2005, SenSys '05.

[10]  S. Strogatz,et al.  Synchronization of pulse-coupled biological oscillators , 1990 .

[11]  Sompolinsky,et al.  Pattern of synchrony in inhomogeneous networks of oscillators with pulse interactions. , 1993, Physical review letters.

[12]  Alex Arenas,et al.  Mechanisms of synchronization and pattern formation in a lattice of pulse-coupled oscillators , 1998 .

[13]  Anna Scaglione,et al.  A scalable synchronization protocol for large scale sensor networks and its applications , 2005, IEEE Journal on Selected Areas in Communications.

[14]  Per Östborn.  Phase transition to frequency entrainment in a long chain of pulse-coupled oscillators , 2002 .

[15]  G. Ermentrout,et al.  Synchrony, stability, and firing patterns in pulse-coupled oscillators , 2002 .

[16]  Tetsuro Endo,et al.  Mode analysis of a multimode ladder oscillator , 1976 .

[17]  Jean-Louis Deneubourg,et al.  Synchronization in chains of light-controlled oscillators , 2005 .

[18]  Bottani.  Pulse-coupled relaxation oscillators: From biological synchronization to self-organized criticality. , 1995, Physical review letters.

[19]  Akio Ushida,et al.  Spatio-temporal chaos in simple coupled chaotic circuits , 1995 .

[20]  Gerstner.  Rapid phase locking in systems of pulse-coupled oscillators with delays. , 1996, Physical review letters.

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

[22]  Pérez,et al.  Synchronization, diversity, and topology of networks of integrate and fire oscillators , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[23]  Umberto Spagnolini,et al.  Physical-layer distributed synchronization in wireless networks and applications , 2008, Phys. Commun..

[24]  Tetsushi Ueta,et al.  Synchronization of Electric Fireflies by Using Square Wave Generators , 1998 .

[25]  Toshimichi Saito,et al.  Grouping synchronization in a pulse-coupled network of chaotic spiking oscillators , 2004, IEEE Transactions on Neural Networks.

[26]  Tianping Chen,et al.  Desynchronization of pulse-coupled oscillators with delayed excitatory coupling , 2007 .

[27]  Jean-Louis Deneubourg,et al.  Synchronization in light-controlled oscillators , 2003 .

[28]  Marc Timme,et al.  Coexistence of regular and irregular dynamics in complex networks of pulse-coupled oscillators. , 2002, Physical review letters.

[29]  Randy H. Katz,et al.  Emerging challenges: Mobile networking for “Smart Dust” , 2000, Journal of Communications and Networks.

[30]  Vivien Kirk,et al.  Effect of a refractory period on the entrainment of pulse-coupled integrate-and-fire oscillators , 1997 .

[31]  Pulin Gong,et al.  Dynamically maintained spike timing sequences in networks of pulse-coupled oscillators with delays. , 2007, Physical review letters.

[32]  Naoki Wakamiya,et al.  Synchronization-Based Data Gathering Scheme for Sensor Networks , 2005, IEICE Trans. Commun..

[33]  H. Nakato.  Synchronization from Pulse-Coupled Integrate-and-Fire Chaotic Oscillators , 2000 .