Clustering of non-identical clocks

Progress of Theoretical Physics

Volumn 125, Issue 3, 2011, Pages 473-490

  CzoŁczyński, Krzysztof ^a   Perlikowski, Przemyslaw ^a   Stefańki, Andrzej ^a   Kapitaniak, Tomasz ^a  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

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Indexed keywords

EID: 79955087337     PISSN: 0033068X     EISSN: 13474081     Source Type: Journal    
DOI: 10.1143/PTP.125.473     Document Type: Article

References (20)

1. C. Huygens, Horoloqium Oscilatorium (Apud F. Muquet, Parisiis, 1673), English translation: The pendulum clock (Iowa State University Press, Ames, 1986).
2. C. Huygens, Letter to de Sluse, in Oeuveres Completes de Christian Huygens (letters; no. 1333 of 24 February 1665, no. 1335 of 26 February 1665, no. 1345 of 6 March 1665), (Societě Hollandaise Des Sciences, Martinus Nijhoff, La Haye, 1893).
3. A. Pikovsky, M. Resenblum and J. Kurths, Synchronization: An Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001).
4. I. I. Blekham, Synchronization in Science and Technology (ASME, New York, 1988).
5. A. Yu. Pogromsky, V. N. Belykh and H. Nijmeijer, "Controlled synchronization of pendula", in Proceedings of the 42nd IEEE Conference on Design and Control. 200S, Maui, Hawaii (IEEE, 2003), pp. 4381-4385.
6. M. Bennet, M. F. Schatz, H. Rockwood and K. Wiesenfeld, Proc. R. Soc. London A 458 (2002), 563.
7. M. Senator, J. Sound and Vibration 291 (2006), 566.
8. R., Dilao, Chaos 19 (2009), 023118.
9. M. Kumon, R. Washiza ki, J. Sato, R., K. I. Mizumoto and Z. Iwai, "Controlled synchronization of two 1-DOF coupled oscillators" in Proceedings of the 15th IFAC World Congress, Barcelona, 2002 (Pergamon, 2003).
10. A. L. Fradkov and B. Andrievsky, Int. J. Non-linear Mech. 42 (2007), 895.
11. J. Pantaleone, Am. J. Phys. 70 (2002), 992.
12. H. Ulrichs, A. Mann and U. Parlitz, Chaos 19 (2009), 043120.
13. K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak, Physica A 388 (2009), 5013.
14. K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak, Prog. Theor. Phys. 122 (2009), 1027.
15. A. L. Rowlings, The Science of Clocks and Watches (Pitman, New York 1944).
16. A. Andronov, A. Witt and S. Khaikin, Theory of Oscillations (Pergamon, Oxford, 1966).
17. F. C. Moon and P. D. Stiefel, Philos. Trans. R. Soc. A 364 (2006), 2539.
18. A. V. Roup, D. S. Bernstein, S. G. Nersesov, W. S. Haddad and V. Chellaboina, Int. J. Control 76 (2003), 1685.
19. A. M. Lepschy, G. A. Mian and U. Viaro, IEEE Trans. Education 35 (1993), 3.
20. K. Czolczynski, P. Perlikowski, A. Stefariski and T. Kapitaniak, Int. J. Bif. Chaos (2011), in press. 491-507