References
Weidlich, W., Behavioral Science, 1988, vol. 33, pp. 241–256.
Weidlich, W., Phys. Rep., 1991, vol. 204, no. 1, pp. 1–169.
Trubetskov, D.I., Vvedenie v sinergetiku. Khaos i struktury (Introduction to Synergetics. Chaos and Structures), Moscow: Editorial URSS, 2004.
Magnitskii, Yu.N., in Dinamika neodnorodnykh sistem (Dynamics of Inhomogeneous Systems), Moscow, 2007, issue 11, pp. 42–46.
Magnitskii, Yu.N., Tr. mezhdunar. konf. “Sinergetika v estestvennykh naukakh” (Proc. Int. Conf. “Synergetics in Natural Science”), Tver, 2007, pp. 96–99.
Magnitskii, N.A. and Sidorov, S.V., Novye metody khaoticheskoi dinamiki (New Methods for Chaotic Dynamics), Moscow: URSS, 2004.
Magnitskii, N.A. and Sidorov, S.V., New Methods for Chaotic Dynamics, Singapore, 2006.
Magnitskii, N.A., Khaoticheskaya dinamika nelineinykh dissipativnykh sistem obyknovennykh differentsial’nykh uravnenii (Chaotic Dynamics of Nonlinear Dissipative Systems of Ordinary Differential Equations), Moscow, 2006.
Hassard, B.D., Kazarinoff, N.D., and Wan, I., Theory and Applications of Hopf Bifurcation, Cambridge: Cambridge Univ., 1981. Translated under the title Teoriya i prilozheniya bifurkatsii rozhdeniya tsikla, Moscow: Mir, 1985.
Author information
Authors and Affiliations
Additional information
Original Russian Text © Yu.N. Magnitskii, 2007, published in Differentsial’nye Uravneniya, 2007, Vol. 43, No. 12, pp. 1618–1625.
Rights and permissions
About this article
Cite this article
Magnitskii, Y.N. Regular and chaotic dynamics in nonlinear systems of ordinary differential equations of Weidlich-Trubetskov type. Diff Equat 43, 1660–1667 (2007). https://doi.org/10.1134/S0012266107120051
Received:
Issue Date:
DOI: https://doi.org/10.1134/S0012266107120051