Synchronization of thermostatically controlled first-order systems

International Journal of Heat and Mass Transfer

Volumn 51, Issue 11-12, 2008, Pages 3032-3043

  Cai, Weihua ^a   Sen, Mihir ^a  

^a University of Notre Dame   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; NUMERICAL METHODS; SYNCHRONIZATION; THERMOSTATS;

SUSTAINED OSCILLATOR; SYNCHRONIZATION DYNAMICS;

CONTROL SYSTEM ANALYSIS;

CONTROL SYSTEM ANALYSIS; DIFFERENTIAL EQUATIONS; NUMERICAL METHODS; SYNCHRONIZATION; THERMOSTATS;

EID: 41949118600     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2007.09.010     Document Type: Article

References (25)

1. Pikovsky A., Rosenblum M., and Kurths J. Synchronization: A Universal Concept in Nonlinear Sciences (2001), Cambridge University Press, Cambridge
2. S.H. Strogatz, Sync: The Emerging Science of Spontaneous Order, Theia, New York, 2003.
3. Manrubia S.C., Mikhailov A.S., and Zanette D.H. Emergence of Dynamical Order: Synchronization Phenomena in Complex Systems (2004), World Scientific, New Jersey
4. Cai W., Sen M., and Yang K.T. Synchronization of self-sustained thermostatic oscillations in a thermal-hydraulic network. Int. J. Heat Mass Transfer 49 (2006) 4444-4453
5. W. Franco, Hydrodynamics and Control in Thermal-Fluid Networks, Ph.D. dissertation, Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN, 2003.
6. Franco W., Sen M., Yang K.T., and McClain R.L. Dynamics of thermal-hydraulic network control strategies. Exp. Heat Transfer 17 (2004) 161-179
7. Winfree A.T. The Geometry of Biological Time (1980), Springer, New York
8. Kuramoto Y. Chemical Oscillations, Waves, and Turbulence (1984), Springer, New York
9. Matthews P.C., and Strogatz S.H. Phase diagram for the collective behavior of limit-cycle oscillators. Phys. Rev. Lett. 65 14 (1990) 1701-1704
10. Yeung M.K.S., and Strogatz S.H. Time delay in the Kuramoto model of coupled oscillators. Phys. Rev. Lett. 82 3 (1999) 648-651
11. Register F., and Roy R. Spatiotemporal chaos synchronization in a large array of locally coupled nonidentical lasers. Laser Phys. 15 2 (2005) 313-319
12. Daniels B.C., Dissanayake S.T.M., and Trees B.R. Synchronization of coupled rotators: Josephson junction ladders and the locally coupled Kuramoto model. Phys. Rev. E 67 2 (2003) 26216-1-26216-14
13. Woafo P., and Kadji H.G.E. Synchronized states in a ring of mutually coupled self-sustained electrical oscillators. Phys. Rev. E 69 4 (2004) 46206-1-46206-9
14. Matias M.A. Observation of a fast rotating wave in rings of coupled chaotic oscillators. Phys. Rev. Lett. 78 2 (1997) 313-319
15. von Bremen H.F., and Udwadia F.E. Computational explorations into the dynamics of rings of coupled oscillators. Appl. Math. Comput. 129 (2002) 55-85
16. Dragoi V., and Grosu I. Synchronization of locally coupled neural oscillators. Neural Process. Lett. 7 3 (1998) 199-210
17. Kouomou Y.C., and Woafo P. Generalized correlated states in a ring of coupled nonlinear oscillators with a local injection. Phys. Rev. E 66 6 (2002) 66201-1-66201-6
18. Fukushima S., Nakanishi S., Fukami K., Sakai S.-I., Nagai T., Tada T., and Nakato Y. Observation of synchronized spatiotemporal reaction waves in coupled electrochemical oscillations of an NDR type. Electrochem. Commun. 7 4 (2005) 411-415
19. Davis P.J. Circulant Matrices (1979), John Wiley, New York
20. Filippov A.F. Differential Equations with Discontinuous Righthand Sides (1988), Kluwer Academic Publ., Dordrecht
21. Liberzon D. Switching in Systems and Control (2003), Birkhäuser, Boston
22. Yfoulis C.A., and Shorten R. A numerical technique for stability analysis of linear switched systems. Lect. Notes Comput. Sci. 2993 (2004) 631-645
23. Margoliot M. Stability analysis of switched systems using variational principles: An introduction. Automatica 42 12 (2006) 2059-2077
24. Pikovsky A.S., Rosenblum M.G., and Kurths J. Synchronization in a population of globally coupled chaotic oscillators. Europhys. Lett. 34 3 (1996) 165-170
25. Kiss I.Z., Zhai Y.M., and Hudson J.L. Emerging coherence in a population of chemical oscillators. Science 296 5573 (2002) 1676-1678