Mots-clés : line multipliers cycles
@article{VUU_2011_1_a3,
author = {V. A. Gustomesov},
title = {A study of iteration of cubic maps with the position of linear conjugacy},
journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
pages = {20--39},
year = {2011},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VUU_2011_1_a3/}
}
TY - JOUR AU - V. A. Gustomesov TI - A study of iteration of cubic maps with the position of linear conjugacy JO - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki PY - 2011 SP - 20 EP - 39 IS - 1 UR - http://geodesic.mathdoc.fr/item/VUU_2011_1_a3/ LA - ru ID - VUU_2011_1_a3 ER -
V. A. Gustomesov. A study of iteration of cubic maps with the position of linear conjugacy. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2011), pp. 20-39. http://geodesic.mathdoc.fr/item/VUU_2011_1_a3/
[1] Sharkovskii A. N., Kolyada S. F., Sivak A. G., Fedorenko V. V., Dinamika odnomernykh otobrazhenii, Naukova dumka, Kiev, 1989, 216 pp. | MR
[2] Gukenkheimer Dzh., Kholms F., Nelineinye kolebaniya, dinamicheskie sistemy i bifurkatsii vektornykh polei, IKI, Moskva–Izhevsk, 2002, 560 pp.
[3] Shapiro A. P., Luppov A. P., Rekurrentnye uravneniya v populyatsionnoi biologii, Nauka, M., 1982, 131 pp. | MR
[4] Scjolding H., Branner-Jorgensen B., Christiansen P. L., Jensen H. E., “Bifurcations in Discrete Dynamical Systems with Cubic Maps”, SIAM J. Appl. Math., 43:3 (1983), 520–534 | DOI | MR
[5] Kuznetsov A. P., Kuznetsov S. P., Sataev I. R., “Korazmernost i tipichnost v kontekste problemy opisaniya perekhoda k khaosu cherez udvoeniya perioda v dissipativnykh dinamicheskikh sistemakh”, Regulyarnaya i khaoticheskaya dinamika, 2:3–4 (1997), 90–105 | MR | Zbl
[6] Li M.-C., “Point Bifurcations and Bubbles for a Cubic Family”, Journ. Difference Equat. and Appl., 9:6 (2003), 553–558 | DOI | MR | Zbl
[7] Cabral F., Lago A., Gallas J., “A Picture Book of Two Families of Cubic Maps”, International Journal of Modern Physics C, 4:3 (1993), 553–568 | DOI | MR | Zbl
[8] Kuznetsov A. P., “Cherez ekran kompyutera – v mir nelineinoi dinamiki”, Izvestiya vuzov. Prikladnaya nelineinaya dinamika, 6:5 (1998), 89–101
[9] Gustomesov V. A., “Izuchenie iteratsii kvadratichnykh funktsii s pozitsii lineinoi sopryazhënnosti”, Sb. dokl. Vseros. konf., ch. 1, Samar. gos. ped. un-t, Samara, 2007, 92–96
[10] Branner B., Hubbard J. H., “The Iteration of Cubic Polinomials, part 1: The Global Topology of Parameter Space”, Acta Matem., 160 (1988), 143–206 | DOI | MR | Zbl
[11] Branner B., Hubbard J. H., “The Iteration of Cubic Polinomials, part 2: Patterns and Parapatterns”, Acta Matem., 169 (1992), 229–325 | DOI | MR | Zbl
[12] Milnor J., “Remarks on Iterated Cubic Maps”, Experimental Math., 1 (1992), 5–24 | MR | Zbl
[13] Nishizawa K., Nojiri A., “Center Curves in the Moduli Space of the Real Cubic Maps”, Proc. Japan Acad. Ser. A, 69:6 (1993), 179–184 | DOI | MR | Zbl
[14] Gustomesov V. A., “Issledovanie tsiklov kubicheskikh otobrazhenii s pozitsii lineinoi sopryazhënnosti”, Tez. dokl. II Ukrainskogo matematicheskogo kongressa, Kiev, 2009 http://www.imath.kiev.ua/~congress2009/Abstracts/Gustomesov
[15] Gaushus E. V., Issledovanie dinamicheskikh sistem metodom tochechnykh preobrazovanii, Nauka, M., 1976, 368 pp. | MR
[16] Kurosh A. G., Kurs vysshei algebry, Nauka, M., 1968, 350 pp. | MR