Efficient control of spiral wave location in an excitable medium with localized heterogeneities

New Journal of Physics

Volumn 10, Issue , 2008, Pages

  Schlesner, J ^a   Zykov, V S ^a   Brandtstadter H ^a   Gerdes, I ^a   Engel, H ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONTROL THEORY; DETECTORS; MATHEMATICAL MODELS; NUMERICAL METHODS; OPTICAL PROPERTIES; PERTURBATION TECHNIQUES; PHOTOSENSITIVITY; ROBUST CONTROL; SPEED; TWO DIMENSIONAL;

(E ,2E) THEORY; APPLIED (CO); BELOUSOV ZHABOTINSKY (BZ) MEDIUM; DRIFT VELOCITIES; EFFICIENT CONTROL; EXCITABLE MEDIUM; FEEDBACK ALGORITHMS; IN ORDER; LARGE DELAYS; NUMERICAL DATA; NUMERICAL SIMULATIONS; OREGONATOR MODEL; PERTURBATION STRENGTH; SPIRAL WAVES; TWO-DIMENSIONAL (2D);

WAVES;

EID: 45749150374     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/10/1/015003     Document Type: Article

References (34)

1. Gerisch G 1971 Naturwissenschaften 58 430
2. Winfree A T 1972 Science 175 634
3. Zhabotinsky A M and Zaikin A N 1973 J. Theor. Biol. 40 45
4. Allessie M A, Bonke F I M and Schopmann F J G 1973 Circ. Res. 33 54
5. Davidenko J M, Pertsov A V, Salomonsz R, Baxter W and Jalife J 1992 Nature 355 349
6. Gorelova N A and Bures J 1983 J. Neurobiol. 14 353
7. Jakubith S, Rotermund H H, Engel W, von Oertzen A and Ertl G 1990 Phys. Rev. Lett. 65 3013
8. Lechleiter J, Girard S E, Peralta E G and Clapham D E 1991 Science 252 123
9. Biktashev V N and Holden A 1994 J. Theor. Biol. 169 101
10. Panfilov A V, Müller S C, Zykov V S and Keener J K 2000 Phys. Rev. E 61 4644
11. Christini D J and Glass L 2002 Chaos 12 732
12. Li G, Ouyang Q, Petrov V and Swinney H 1996 Phys. Rev. Lett. 77 2105
13. Kapral R and Showalter K (ed) 1995 Chemical Waves and Patterns (Dordrecht: Kluwer)
14. Agladze K I, Davydov V A and Mikhailov A S 1987 JETP Lett. 45 767
15. Schütze J, Steinbock O and Müller S C 1992 Nature 356 45
16. Markus M, Nagy-Ungvarai Z and Hess B 1992 Science 257 225
17. Fast V G and Pertsov A M 1992 J. Cardiovasc. Electrophysiol. 3 255
18. Steinbock O, Zykov V S and Müller S C 1993 Nature 366 322
19. Braune M and Engel H 1993 Chem. Phys. Lett. 211 534
20. Sendina-Nadal I et al 2000 Phys. Rev. Lett. 84 2734
21. Davydov V A, Zykov V S and Mikhailov A S 1991 Sov. Phys.-Usp. 34 665
22. Mantel R M and Barkley D 1996 Phys. Rev. E 54 4791
23. Sandstede B, Scheel A and Wulff C 1999 J. Nonlinear Sci. 9 439
24. Zykov V S and Engel H 2004 Physica D 199 243
25. Zykov V S and Engel H 2007 Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology ed L Schimansky-Geier, B Fiedler, J Kurths and E Schöll (Singapore: World Scientific) p 243
26. Grill S, Zykov V S and Müller S C 1995 Phys. Rev. Lett. 75 3368
27. Karma A and Zykov V S 1999 Phys. Rev. Lett. 83 2453
28. Brandtstädter H, Braune M, Schebesch I and Engel H 2000 Chem. Phys. Lett. 323 145
29. Zykov V S, Kheowan O, Rangsiman O and Müller S C 2002 Phys. Rev. E 65 26206
30. Barkley D, Kness M and Tuckerman L S 1990 Phys. Rev. A 42 2489
31. Krug H-J, Pohlmann L and Kuhnert L 1990 J. Phys. Chem. 94 4862
32. FitzHugh R 1961 Biophysics 1 445
33. Nagumo J, Arimoto S and Yoshizawa S 1962 Proc. IRE 50 2061
34. Winfree A T 1991 Chaos 1 303