Self-excited chaotic dynamics of a nonlinear thermo-visco-elastic system that is subject to laser irradiation

Applied Physics Letters

Volumn 101, Issue 13, 2012, Pages

  Hollander, E ^a   Gottlieb, O ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BENCHMARK EXPERIMENTS; CHAOTIC BIFURCATION; CONTINUUM BASED MODELING; MULTIPLE PERIODIC SOLUTIONS; PERIODIC OSCILLATION; PHOTOTHERMAL EFFECTS; SELF EXCITED OSCILLATION; SUBCRITICAL HOPF BIFURCATION;

CONTINUUM MECHANICS; DYNAMICAL SYSTEMS; HOPF BIFURCATION;

NANOCANTILEVERS;

EID: 84877897617     PISSN: 00036951     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4755844     Document Type: Article

References (25)

1. N. A. D., Stokes, R. M. A., Fatah, and S., Venkatesh, Sens. Actuators, A, 21, 369-372 (1990). 10.1016/0924-4247(90)85073-D
2. K., Hane and K., Suzuki, Sens. Actuators, A, 51, 179-182 (1996). 10.1016/0924-4247(95)01218-4
3. K., Aubin, M., Zalalutdinov, T., Alan, R. B., Reichenbach, R., Rand, A., Zehnder, J., Parpia, and H., Craighead, J. MEMS, 13 (6), 1018-1026 (2004). 10.1109/JMEMS.2004.838360
4. T. J., Kippenberg and K. J., Vahala, Science, 321, 1172 (2008). 10.1126/science.1156032
5. F., Marquardt and S. M., Girvin, Physics, 2, 40 (2009). 10.1103/Physics.2.40
6. G. C., Ratcliff, D. A., Erie, and R., Superfine, Appl. Phys. Lett., 72, 1911 (1998). 10.1063/1.121224
7. G., Jourdan, F., Comin, and J., Chevrier, Phys. Rev. Lett., 101, 133904 (2008). 10.1103/PhysRevLett.101.133904
8. H., Holscher, P., Milde, U., Zerweck, L. M., Eng, and R., Hoffman, Appl. Phys. Lett., 94, 223514 (2009). 10.1063/1.3149700
9. C., Metzger, M., Ludwig, C., Neuenhahn, A., Ortleib, I., Favero, K., Karrai, and F., Marquardt, Phys. Rev. Lett., 101, 133903 (2008). 10.1103/PhysRevLett.101.133903
10. S., Zaitsev, O., Gottlieb, and E., Buks, Nonlinear Dyn., doi: 10.1007/s11071-012-0371-9 (2012) (online). 10.1007/s11071-012-0371-9
11. T., Carmon, H., Rokhsari, L., Yang, T. J., Kippenberg, and K. J., Vahala, Phys. Rev. Lett., 94, 223902 (2005). 10.1103/PhysRevLett.94.223902
12. F., Marquardt, J. G. E., Harris, and S. M., Girvin, Phys. Rev. Lett., 96, 103901 (2006). 10.1103/PhysRevLett.96.103901
13. D. M., Weld and A., Kapitulnik, Appl. Phys. Lett., 89, 164102 (2006). 10.1063/1.2362598
14. T., Carmon and K. J., Vahala, Phys. Rev. Lett., 98, 123901 (2007). 10.1103/PhysRevLett.98.123901
15. F., Marino and F., Marin, Phys. Rev. E, 83, 015202 (2011). 10.1103/PhysRevE.83.015202
16. K., Hane and K., Suzuki, Appl. Opt., 36 (21), 5006-5009 (1997). 10.1364/AO.36.005006
17. S., Hornstein and O., Gottlieb, Nonlinear Dyn., 54, 93-122 (2008). 10.1007/s11071-008-9335-5
18. B. A., Boley and J. H., Weiner, Theory of Thermal Stresses (Wiley, 1960).
19. Z., Knittle, Optics of Thin Films (Wiley, 1976).
20. E., Hollander and O., Gottlieb, in, Proceeding of 7th European Nonlinear Dynamics Conference, MS-08, EUROMECH, Rome, 24-29 July 2011 (Sapienza University of Rome, 2011), pp. 1-2.
21. O., Gottlieb and A. R., Champneys, in IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics, edited by, G., Rega, and, F., Vestroni, (Springer, 2005), pp. 117-126.
22. A., Maali, C., Hurth, R., Boisgard, C., Jai, T., Cohen-Bouhacina, and J. P., Aime, J. Appl. Phys., 97, 074907 (2005). 10.1063/1.1873060
23. S., Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer, 1990).
24. J., Guckenheimer and P., Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields (Springer, 1983).
25. C., Grebogi, E., Ott, and J. A., Yorke, Physica D, 7, 181-200 (1983). 10.1016/0167-2789(83)90126-4