REFERENCES
Bartuccelli, M., Constantin, P., Doering, C.R., Gibbon, J.D., and Gisselfalt, M., Physica D., 1990, vol. 44, pp. 421-444.
Iwasaki, H. and Toh, S., Progr. Theor. Phys., 1992, vol. 87, p. 1127.
Platt, N., Spiegel, E.A., and Tresser, C., Phys. Rev. Lett., 1993, vol. 70, pp. 279-282.
Ott, E. and Sommerer, J.C., Phys. Lett. A, 1994, vol. 188, p. 39.
Venkataramani, A.S., Antonsen Jr., T.M., Ott, E., and Sommerer, J.C., Physica D., 1996, vol. 96, pp. 66-99.
Berge, P., Pomeau, Y., and Vidal, C., Order Within Chaos. Towards a Deterministic Approach to Turbulence, New York: Wiley, 1986. Translated under the title Poryadok v khaose. O deterministskom podkhode k turbulentnosti, Moscow, 2000.
Malinetskii, G.G. and Potapov, A.B., Sovremennye problemy nelineinoi dinamiki (Modern Problems of Nonlinear Dynamics), Moscow, 2000.
Mishchenko, E.F., Kolesov, Yu.S., Kolesov, A.Yu., and Rozov, N.Kh., Periodicheskie dvizheniya i bifurkatsionnye protsessy v singulyarno vozmushchennykh sistemakh (Periodic Motions and Bifurcation Processes in Singularly Perturbed Systems), Moscow, 1995.
Milnor, J., Commun. Math. Phys., 1985, vol. 99, no.2, pp. 177-196.
Devaney, R., An Introduction to Chaotic Dynamical Systems, Addison-Wesley, 1989.
Banks, J., Brooks, J., Cairns, G., Davis, G., and Stacey, P., Amer. Math. Monthly, 1992, vol. 99, no.4, pp. 332-334.
Afraimovich, V.S., Bykov, V.V., and Shil'nikov, L.P., Trudy Mosk. Mat. Obshch., 1982, vol. 44, pp. 150-212.
Plykin, R.V., Sataev, E.A., and Shlyachkov, S.V., Itogi Nauki i Tekhniki. Sovr. Problemy Matematiki, 1991, vol. 66, pp. 100-148.
Robinson, C., Nonlinearity, 1989, vol. 2, no.4, pp. 495-518.
Vasil'eva, A.B. and Butuzov, V.F., Asimptoticheskie razlozheniya reshenii singulyarno vozmushchennykh uravnenii (Asymptotic Expansions of Singularly Perturbed Equations), Moscow, 1973.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kolesovand, A.Y., Rozov, N.K. Attractors of Hard Turbulence Type in Relaxation Systems. Differential Equations 38, 1694–1702 (2002). https://doi.org/10.1023/A:1023899811176
Issue Date:
DOI: https://doi.org/10.1023/A:1023899811176