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Dickson, R. J.

Bounded quadratic systems in the plane. (English) Zbl 0191.10403

J. Differ. Equations 7, 251-273 (1970).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 33 Documents

Keywords:

ordinary differential equations
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References:

[1] Coppel, W. A., A survey of quadratic systems, J. Diff. Eq., 2, 293-304 (1966) · Zbl 0143.11903
[2] Duff, G. F.D, Limit cycles and rotated vector fields, Ann. Math., 57, 15-31 (1953), (2) · Zbl 0050.09103
[3] Yeh, Yen-Chien, A qualitative study of the integral curves of the differential equation \(dydx = Q00 + Q10x + Q01y + Q20x^2 + Q11xy + Q02y^2\) P00 + P10x + P01y + \(P20x^2\) + P11xy + \(P02y^2\),\) II, Uniqueness of limit cycles, Chinese Math., 3, 62-70 (1963)
[4] Markus, L., Quadratic differential equations and non-associative algebras, (Ann. Math. Studies, No. 45 (1960), Princeton Univ. Press), 185-213 · Zbl 0119.29803
[5] Dickson, R. J.; Perko, L. M., Quadratic differential systems, (Lockheed Research Report No. LMSC/L-56-68-1 (Feb. 1968), Lockheed Palo Alto Research Lab)
[6] Hartman, P., Ordinary Differential Equations (1964), Wiley: Wiley New York · Zbl 0125.32102
[7] Lefschetz, S., Differential Equations: Geometric Theory (1962), Interscience: Interscience New York · Zbl 0107.07101
[8] Andronov, A. A.; Leontovich, E. A.; Gordon, I. I.; Maier, A. L., The Qualitative Theory of Dynamical Systems of Second Order (1966), Nauk Publishing House: Nauk Publishing House Moscow, (in Russian) · Zbl 0168.06801
[9] Markus, L., Global structure of ordinary differential equations in the plane, Trans. Am. Math. Soc., 76, 127-148 (1954) · Zbl 0055.08102
[10] Tung, Chin-Chu, Positions of limit cycles of the system \(dxdt = Σ0 ⩽ i + k⩽ 2 aikx^iy^k\) dydt = Σ0 ⩽ i + k⩽ \(2 bjkx^i y^k\), Chinese Math., 3, 227-284 (1960)
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