Control of a noise-induced transition in a nonlinear dynamical system

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 2, 2008, Pages

  Astrov, Yu A ^a   Fradkov, A L ^b   Guzenko, P Yu ^b,c  

^a IOFFE INSTITUTE   (Russian Federation)

^b INSTITUTE OF PROBLEMS OF MECHANICAL ENGINEERING   (Russian Federation)

^c St Petersburg Palace of Creative Youth   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DYNAMICAL SYSTEMS; GRADIENT METHODS; IMAGE CONVERTERS; LASER APPLICATIONS; MATHEMATICAL MODELS;

NOISE-INDUCED TRANSITIONS; NONLINEAR DYNAMICAL SYSTEM; RESONANCELIKE REGULARITY;

NONLINEAR SYSTEMS;

EID: 40749150075     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.026201     Document Type: Article

References (20)

1. V. S. Anishchenko, A. B. Neiman, F. Moss, and L. Schimansky-Geier, Phys. Usp. PHUSEY 1063-7869 10.1070/pu1999v042n01ABEH000444 169, 7 (1999).
2. Yu. L. Klimontovich, Phys. Usp. PHUSEY 1063-7869 169, 37 (1999).
3. P. S. Landa, J. Commun. Technol. Electron. JTELEJ 1064-2269 46, 1069 (2001).
4. W. Horsthemke and R. Lefever, Noise-Induced Transitions. Theory and Applications in Physics, Chemistry, and Biology (Springer, Berlin, 1984).
5. V. A. Vasiliev, Y. M. Romanovskii, D. S. Chernavskii, and V. G. Yakhno, Autowave Processes in Kinetic Systems (VEB Deutscher Verlag der Wissenschaften, Berlin, 1987).
6. Yu. A. Astrov, " Dynamic Properties of Discharge Glow in a Device with Resistive Electrode, " Ioffe Physico-Technical Institute Report No. 1255, 1988 (in Russian).
7. Yu. A. Astrov, L. M. Portsel, S. P. Teperick, H. Willebrand, and H.-G. Purwins, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.354749 74, 2159 (1993).
8. Yu. A. Astrov and S. P. Teperick, Sov. Phys. Tech. Phys. SPTPA3 0038-5662 34, 550 (1989).
9. A. L. Fradkov and A. Yu. Pogromsky, Introduction to Control of Oscillations and Chaos (World Scientific, Singapore, 1998).
10. A. L. Fradkov, Phys. Usp. PHUSEY 1063-7869 10.1070/ PU2005v048n02ABEH002047 48, 103 (2005).
11. A. L. Fradkov, Cybernetical Physics: From Control of Chaos to Quantum Control (Springer, Berlin, 2007).
12. J.-H. R. Kim, H. Maurer, Yu. A. Astrov, M. Bode, and H.-G. Purwins, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.2001.6741 170, 395 (2001).
13. A. L. Fradkov, Physica D PDNPDT 0167-2789 128, 159 (1999).
14. H. Nijmeijer, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(01)00251-2 154, 219 (2001).
15. G. Santoboni, A. Yu. Pogromsky, and H. Nijmeijer, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 13, 453 (2003).
16. S. Nee, Nature (London) NATUAS 0028-0836 10.1038/367123a0 367, 123 (1994).
17. G. L. Lippi, S. Barland, and F. Monsieur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.62 85, 62 (2000).
18. Yu. A. Astrov, E. Ammelt, S. P. Teperick, and H.-G. Purwins, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(95)00926-4 211, 184 (1996).
19. Yu. A. Astrov and Yu. A. Logvin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2983 79, 2983 (1997).
20. Yu. A. Astrov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.035203 67, 035203 (R) (2003).