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T. Geisel, J. Nierwetberg, and A. Zacherl, Phys. Rev. Lett. 54, 616 (1985)
M.F. Shlesinger and J. Klafter, Phys. Rev. Lett. 54, 2551 (1985, comment on Ref. [1]
M.F. Shlesinger, B.J. West, and J. Klafter, Phys. Rev. Lett. 58, 1100 (1987)
A. Zacherl, T. Geisel, J. Nierwetberg, and G. Radons, Phys. Lett. A 114, 317 (1986); J. P. Bouchaud and P. Le Doussal, J. Stat. Phys. 41, 225 (1985)
T. Geisel, A. Zacherl, and G. Radons, Phys. Rev. Lett. 59, 2503 (1987) and Z. Phys. 71, 117 (1988)
J. D. Meiss and E. Ott, Phys. Rev. Lett. 55, 2741 (1985) and Physica D 20, 387 (1986)
T. Geisel and S. Thomae, Phys. Rev. Lett. 52, 1936 (1984)
J. Klafter and R. Silbey, J. Chem. Phys. 72, 843 (1980)
G. Zumofen and J. Klafter, Phys. Rev. E 47, 851 (1993)
G. Zumofen and J. Klafter, Physica D 69, 436 (1993)
X.-J. Wang, Phys. Rev. A 45, 8407 (1992)
T. Geisel and J. Nierwetberg, Phys. Rev. Lett. 48, 7 (1982)
R.F. Miracky, M.H. Devoret, and J. Clarke, Phys. Rev. A 31, 2509 (1985)
A. Lasota and J.A. Yorke, Trans. Amer. Math. Soc. 186, 481 (1973)
P. Manneville, J. Phys. (Paris) 41, 1235 (1980); Y. Pomeau and P. Manneville, Commun. Math. Phys. 74,189 (1980)
I. Procaccia and H. Schuster, Phys. Rev. A 28, 1210 (1983)
e.g. T. Leisel, in Physics of Superionic Conductors, ed. M.B. Salamon, Topics in Current Physics, Vol. 15, p. 201. Berlin, Springer 1979
see e.g. R.S. MacKay, Lect. Notes in Phys. 247, 390 (1986)
I. C. Percival, AIP Conference Proceedings 57, 1179 (1980); Aubry, S., in Solitons and Condensed Matter Physics, eds. A.R. Bishop and T. Schneider, p. 264. Berlin, Springer 1978
R. S. MacKay, J. D. Meiss, and I. C. Percival, Phys. Rev. Lett. 52, 697 (1984) and Physica 13 D, 55 (1984); D. Bensimon and L.P. Kadanoff, Physica D 13, 82 (1984)
L. P. Kadanoff, Phys. Rev. Lett. 47, 1641 (1981), S. J. Shenker and L.P. Kadanoff, J. Stat. Phys. 27, 631 (1982); R. S. MacKay, Physica 7 D, 283 (1983), J. M. Greene, R. S. MacKay, and J. Stark, Physica D 21, 267 (1986)
T. Geisel, J. Wagenhuber, P. Niebauer, and G. Obermair, Phys. Rev. Lett. 64,1581 (1990), and Phys. Rev. B. 45, 4372 (1992)
G. Petschel and T. Geisel, Phys. Rev. A 44, 7959, (1991)
G.M. Zaslavsky, R.Z. Sagdeev, D.K. Chaikovsky, and A.A. Chernikov, Sov. Phys. JETP 68, 995 (1989); and D.K. Chaikovsky and G.M. Zaslavsky, Chaos 1, 463 (1991)
R.A. Pasmanter, Fluid Dyn. Res. 3, 320 (1988)
A.A. Chernikov, B.A. Petrovichev, A.V. Rogalsky, R.Z. Sagdeev, and G.M. Zaslavsky, Phys. Lett. A 144, 127, (1990), and B.A. Petrovichev, AN. Rogalsky, R.Z. Sagdeev, and G.M. Zaslavsky, Phys. Lett. A 150, 391 (1990)
T.M. Antonsen and E. Ott, Phys. Rev. A 44, 851 (1991)
T.H. Solomon, E.R. Weeks, and H.L Swinney, Phys. Rev. Lett. 71, 3975 (1993)
P. Tabeling and O. Cardoso, Bull. Soc. Franc. Phys. 73, 13 (1989)
R. Ramshankar, D. Berlin, and J.P. Gollub, Physics Fluids A2, 1955 (1990)
H. Sakaki, K. Wagatsuma, J. Hamasaki, and S. Saito, Thin Solid Films 36, 497, (1976) R. T. Bate, Bull. Am. Phys. Soc. 22, 407 (1977); A.C. Warren, D.A. Antoniadis, H.I. Smith, and J. Melgnailis, IEEE Electron. Device Lett. 6, 294 (1985)
D. Weiss, M.L. Roukes, A. Menschig, P. Grambow, K.v. Klitzing, and G. Weimann, Phys. Rev. Lett. 66, 2790 (1991); and R. Schuster, K. Ensslin, J.P. Kotthaus, M. Holland, and S.P. Beaumont, Superlattices and Microstructures 12, 93 (1992)
R. Fleischmann, T. Geisel, and R. Ketzmerick, Phys. Rev. Lett. 68, 1367 (1992)
R. Fleischmann, T. Geisel, and R. Ketzmerick, Europhys. Lett. 25, 219 (1994)
T. Geisel, R. Ketzmerick, and G. Petschel, Phys. Rev. Lett. 66, 1651, (1991)
G. Petschel and T. Geisel, Phys. Rev. Lett. 71, 239 (1993)
R. Ketzmerick, G. Petschel, and T. Geisel, Phys. Rev. Lett. 69, 695 (1992)
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Geisel, T. (1992). Lévy walks in chaotic systems: Useful formulas and recent applications. In: Shlesinger, M.F., Zaslavsky, G.M., Frisch, U. (eds) Lévy Flights and Related Topics in Physics. Lecture Notes in Physics, vol 450. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59222-9_32
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