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An unusual 3D autonomous quadratic chaotic system with two stable node-foci. (English) Zbl 1193.34091

MSC:
34C28 Complex behavior and chaotic systems of ordinary differential equations
34C23 Bifurcation theory for ordinary differential equations
34C37 Homoclinic and heteroclinic solutions to ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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References:
[1] Barnett S., Polynominals and Linear Control Systems (1983)
[2] DOI: 10.1142/S0218127499001024 · Zbl 0962.37013
[3] DOI: 10.1088/0951-7715/19/12/013 · Zbl 1118.34042
[4] DOI: 10.1007/978-1-4612-1140-2 · Zbl 0515.34001
[5] Hassard B., Theory and Application of Hopf Bifurcation (1981) · Zbl 0474.34002
[6] DOI: 10.1016/S0375-9601(03)00111-7 · Zbl 1009.37010
[7] DOI: 10.1007/s10884-004-4290-4 · Zbl 1061.34036
[8] DOI: 10.1088/0951-7715/21/8/001 · Zbl 1163.34028
[9] DOI: 10.1088/0305-4470/29/17/012 · Zbl 0905.58044
[10] DOI: 10.1137/0153053 · Zbl 0781.34031
[11] DOI: 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2 · Zbl 1417.37129
[12] DOI: 10.1142/S0218127402004620 · Zbl 1063.34510
[13] DOI: 10.1016/j.chaos.2006.03.037 · Zbl 1130.37018
[14] DOI: 10.1016/0375-9601(76)90101-8 · Zbl 1371.37062
[15] Shaw R., ZNatur. A 36 pp 80–
[16] Silva C. P., IEEE. Trans. Circ. Syst.-I 40 pp 657–
[17] DOI: 10.1007/978-1-4612-5767-7
[18] DOI: 10.1103/PhysRevE.50.R647
[19] DOI: 10.1119/1.19538
[20] DOI: 10.1016/S0375-9601(00)00026-8
[21] Sprott J. C., Chaos and Time-Series Analysis (2003) · Zbl 1012.37001
[22] Ueta T., Proc. IEEE Int. Symp. Circuits and Systems 31 pp 505–
[23] DOI: 10.1016/S0167-2789(00)00033-6 · Zbl 0956.37038
[24] DOI: 10.1088/0951-7715/16/3/314 · Zbl 1030.37010
[25] DOI: 10.1137/0518047 · Zbl 0622.34041
[26] DOI: 10.1142/S0218127406016501 · Zbl 1185.37088
[27] DOI: 10.1142/S0218127407019792 · Zbl 1149.37308
[28] DOI: 10.1142/S0218127408021063 · Zbl 1147.34306
[29] DOI: 10.1142/S0218127403008089 · Zbl 1046.37018
[30] DOI: 10.1016/S0960-0779(03)00251-0 · Zbl 1053.37015
[31] DOI: 10.1007/s11071-005-4195-8 · Zbl 1142.70012
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