자연계 동조 현상의 이해와 공학적 활용 방안

  • Published : 2013.12.31

Abstract

본고에서는 자연계에 존재하는 동조 현상을 이해하고 공학적으로 활용하기 위하여 동조 현상에 관한 대표적인 수학적 모델을 살펴보고 동조의 원리를 분석한다. 또한 동조 현상을 공학적으로 활용한 주요 사례를 살펴봄으로써 자연계를 모방한 동기화 방식의 장단점을 분석하고 자연계 모방 기술의 필요성을 역설한다. 아울러 동조 현상을 공학적으로 활용하는데 필요한 향후 연구 이슈를 제시한다.

Keywords

References

  1. A. Pikovsky, M. Rosenblum, and J. Kurths, "Synchronization: A Universal Concept in Nonlinear Sciences," Cambridge University Press, 2001.
  2. 최현호, 이정륜, "생체모방 알고리즘 기반 통신 네트워크 기술," 한국통신학회지(정보와 통신), vol. 29, no. 4, pp. 62-71, Apr. 2012.
  3. S. H. Strogatz, "Sync: How Order Emerges From Chaos In the Universe, Nature, and Daily Life," Hyperion, Apr 2004.
  4. F. Dressler, O. B. Akan, "A Survey on Bio-inspired Networking," Computer Networks Journal (Elsevier), vol. 54, no. 6, pp. 881-900, April 2010. https://doi.org/10.1016/j.comnet.2009.10.024
  5. Z. Zhang, K. Long, J. Wang, and F. Dressler, "On Swarm Intelligence Inspired Self-Organized Networking: Its Bionic Mechanisms, Designing Principles and Optimization Approaches," IEEE Communications Surveys & Tutorials, no. 99, pp. 1-25, July 2013.
  6. C. Zheng and D. C. Sicker, "A Survey on Biologically Inspired Algorithms for Computer Networking," IEEE Communications Surveys & Tutorials, vol. 15, no. 3, pp. 1160-1191, Third Quarter 2013. https://doi.org/10.1109/SURV.2013.010413.00175
  7. C. W. Reynolds, "Flocks, Herds, and Schools: A Distributed Behavioral Model,"ACM Computer Graphics, vol. 21, no. 4, pp. 25-34, 1987. https://doi.org/10.1145/37402.37406
  8. C. S. Peskin, "Mathematical Aspects of Heart Physiology," Courant Institute of Mathematical Sciences, New York University, Tech. Rep., 1975.
  9. R. E. Mirollo and S. H. Strogatz, "Synchronization of Pulse-Coupled Biological Oscillators," SIAM J. Appl. Math., vol. 50, no. 6, pp. 1645-1662, 1990. https://doi.org/10.1137/0150098
  10. U. Ernst, K. Pawelzik, and T. Geisel, "ynchronization Induced by Temporal Delays in Pulse-Coupled Oscillators,"Phys. Rev. Lett., vol. 74, no. 9, pp. 1570-573, Feb. 1995. https://doi.org/10.1103/PhysRevLett.74.1570
  11. Y. Kuramoto and H. Araki, ed., "ecture Notes in Physics, International Symposium on Mathematical Problems in Theoretical Physics,"Springer-Verlag, New York, 1975.
  12. S. Strogatz, "From Kuramoto to Crawford: Exploring the Onset of Synchronization in Populations of Coupled Oscillators" Physica D, vol. 143, no. 1-4, pp. 1-20, Sep. 2000 https://doi.org/10.1016/S0167-2789(00)00094-4
  13. J. A. Acebrón, L. L. Bonilla, C. J. Pérez-Vicente, F. Ritort, and R. Spigler, "The Kuramoto Model: A Simple Paradigm for Synchronization Phenomena," Rev. Mod. Phys., vol. 77, pp. 137-185, 2005. https://doi.org/10.1103/RevModPhys.77.137
  14. R. Sepulchre, D. Paley, and N. Leonard, "Collective Motion and Oscillator Synchronization," in Proc. Block Island Workshop Cooperative Control, Block Island, RI, June 2003.
  15. A. Papachristodoulou and A. Jadbabaie, "Synchronization in Oscillator Networks: Switching Topologies and Non-homogeneous Delays,"in IEEE Conf. Decision and Control and Eur. Control Conf. (CDC-ECC '05), pp. 5692-5697, Dec. 2005.
  16. F. Cucker, and S. Smale, "Emergent Behavior in Flocks", IEEE Transactions on Automatic Control, vol. 52, no. 5, pp. 852-960, May 2007. https://doi.org/10.1109/TAC.2007.895842
  17. S.-Y. Ha and J.-G. Liu, "A Simple Proof of the Cucker-Smale Flocking Dynamics and Mean-Field Limit," Commun. Math. Sci. vol. 7, no. 2, pp. 297- 325, 2009.
  18. R. Olfati-Saber, J. Fax, and R. Murray, "Consensus and Cooperation in Networked Multi-Agent Systems," Proc. IEEE, vol. 95, pp. 215-233, Jan. 2007.
  19. A. Tyrrell, G. Auer, and C. Bettstetter, "Firefly Synchronization in Ad Hoc Networks," in Proc. of the MiNEMA workshop, 2006.
  20. A. Tyrrell and G. Auer, "Imposing a Reference Timing onto Firefly Synchronization in Wireless Networks," IEEE Vehicular Technology Conference (VTC), pp. 222-226, Apr. 2007.
  21. Y.-W. Hong and A. Scaglione, "A Scalable Synchronization Protocol for Large Scale Sensor Networks and Its Applications," IEEE Journal on Selected Areas in Communications, vol. 23, no. 5, pp. 1085- 1099, May 2005. https://doi.org/10.1109/JSAC.2005.845418
  22. G. A. Puerta, E. A. Aguirre, and M. A. Alzate, "Effect of Topology and Mobility in Bio-inspired Synchronization of Mobile Ad Hoc Networks, " IEEE Latin- American Conference on Communications(LATINCOM), pp.1-6, Sep. 2010.
  23. H.-J. Yoo, M.-N. Lee, and Y.-S. Cho, "A Distributed Frequency Synchronization Technique for OFDMA-Based Mesh Networks Using Bio-Inspired Algorithm," J. Korean Inst. Commun. Inform. Soc. (KICS), vol.37B, no. 11, pp 1022-1032, Nov. 2012. https://doi.org/10.7840/kics.2012.37B.11.1022
  24. G. Werner-Allen, G. Tewari, A. Patel, M. Welsh, and R. Nagpal, "Firefly-inspired Sensor Network Synchronicity with Realistic Radio Effects, " Proceedings of the 3rd International Conference on Embedded Networked Sensor System (SenSys'05), pp. 142-153, Nov. 2005.
  25. J. Degesys, I. Rose, A. Patel, and R. Nagpal, "DESYNC: Self-Organizing Desynchronization and TDMA on Wireless Sensor Networks,"in Proc. of Int. Symposium on Information Processing in Sensor Networks (IPSN), pp. 11-20, Apr 2007.
  26. A. Patel, J. Degesys, and R. Nagpal, "Desynchronization: The Theory of Self-Organizing Algorithms for Round-Robin Scheduling," in Proc. of Int. Conference on Self-Adaptive and Self-Organizing Systems (SASO), pp. 87-96, July 2007.
  27. J. Degesys and R. Nagpal, "Towards Desynchronization of Multi-hop Topologies," in Proc. of Int. Conf. on Self-Adaptive and Self-Organizing Systems (SASO), pp. 129-138, Oct. 2008.
  28. R. Pagliari, Y. P. Hong, and A. Scaglione, "Bio-inspired Algorithms for Decentralized Round-Robin and Proportional Fair Scheduling," IEEE Journal on Selected Areas in Communications, vol. 28, no. 4, pp. 564-575, May 2010. https://doi.org/10.1109/JSAC.2010.100506
  29. R. Olfati-Saber and J. S. Shamma, "Consensus Filters for Sensor Networks and Distributed Sensor Fusion," in IEEE Conf. Decision and Control and Eur. Control Conf. (CDC-ECC '05), pp. 6698-6703, Dec. 2005.
  30. D. P. Spanos, R. Olfati-Saber, and R. M. Murray, "Approximate Distributed Kalman Filtering in Sensor Networks with Quantifiable Performance," in Proc. 4th Int. Symp. Information Processing in Sensor Networks, pp. 133-139, Apr. 2005.
  31. L. Xiao, S. Boyd, and S. Lall, "A Scheme for Asynchronuous Distributed Sensor Fusion Based on Average Consensus," in Proc. 4th Int. Symp. Information Processing in Sensor Networks, pp. 63-70, Apr. 2005.
  32. D. Spanos, R. Olfati-Saber, and R. M. Murray, "Dynamic Consensus on Mobile Networks," presented at the 16th IFAC World Congr., Prague, Czech, 2005.
  33. L. Xiao and S. Boyd, "Fast Linear Iterations for Distributed Averaging," Systems & Control Letters, vol. 52, pp. 65-78, 2004.
  34. D. J. Watts and S. H. Strogatz, "Collective Dynamics of 'Small-World' Networks," Nature, vol. 393, pp. 440-442, Jun. 1998. https://doi.org/10.1038/30918
  35. R. Olfati-Saber, "Ultrafast Consensus in Small- World Networks," in Proc. Am. Control Conf., pp. 2371-2378, Jun. 2005.
  36. J. A. Fax and R. M. Murray, "Information Flow and Cooperative Control of Vehicle Formations," IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1465- 1476, Sep. 2004. https://doi.org/10.1109/TAC.2004.834433
  37. J. Lin, A. S. Morse, and B. D. O. Anderson, "The Multi-Agent Rendezvous Problem," in Proc. 42nd IEEE Conf. Decision and Control, pp. 1508-1513, Dec. 2003.
  38. J. Cortes, S. Martinez, and F. Bullo, "Robust Rendezvous for Mobile Autonomous Agents via Proximity Graphs in Arbitrary Dimensions," IEEE Trans. Autom. Control, vol. 51, no. 8, pp. 1289- 1298, Aug. 2004.
  39. R. Olfati-Saber, "Flocking for Multi-Agent Dynamic Systems: Algorithms and Theory," IEEE Trans. Autom. Control, vol. 51, no. 3, pp. 401-420, Mar. 2006. https://doi.org/10.1109/TAC.2005.864190
  40. X.-S. Yang, Z. Cui, R. Xiao, A. H. Gandomi, and M. Karamanoglu, "Swarm Intelligence and Bio- Inspired Computation, Theory and Applications," 1st Edition, Elsevier, May 2013.
  41. H.-H. Choi and J.-R. Lee, "Distributed Transmit Power Control for Maximizing End-to-End Throughput in Wireless Multi-hop Networks," Springer Wireless Personal Communications, Aug. 2013.
  42. H.-H. Choi and J.-R. Lee, "A Bio-Inspired Transmit Power Control Algorithm for Linear Multi-Hop Wireless Networks," IARIA International Conference on Networks (ICN) 2014, Feb. 2014.
  43. J. Mannermaa, K. Kalliomaki, T. Mansten, and S. Turunen, "Timing Performance of Various GPS Receivers," in Proc. Joint Meeting Eur. Freq. Time Forum and IEEE Int. Freq. Control Symp., pp. 287- 290, Apr. 1999.
  44. D. L. Mills, "Internet Time Synchronization: The Network Time Protocol,"IEEE Trans. Commun., vol. 39, no. 10, pp. 1482-1493, Oct. 1991. https://doi.org/10.1109/26.103043
  45. J. Elson, L. Girod, and D. Estrin, "Fine-grained Network Time Synchronization Using Reference Broadcasts," SIGOPS Oper. Syst. Rev., vol. 36, pp. 147-163, Dec 2002. https://doi.org/10.1145/844128.844143