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GLOBAL  ANALYSIS  OF  MONODROMY  GROUP OF  A  RICCATI  EQUATION  ON  TORUS  T^2

GLOBAL ANALYSIS OF MONODROMY GROUP OF A RICCATI EQUATION ON TORUS T2
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摘要 For d particular Riccati equation on torns T2,an exact relation (28) between the generators of its monodromy group and theparameter A E R is obtained, so that the dependence of the properties of themonodromy group on the parameter A can be discussed globally. It is provedthat the limit set of the monodromy group has a fractal structure if and only if For d particular Riccati equation on torns T2,an exact relation (28) between the generators of its monodromy group and theparameter A E R is obtained, so that the dependence of the properties of themonodromy group on the parameter A can be discussed globally. It is provedthat the limit set of the monodromy group has a fractal structure if and only if
出处 《Annals of Differential Equations》 1999年第1期1-13,共13页 微分方程年刊(英文版)
关键词 doubly periodic Riccati equation Floquet exponent moneydromy group fractalAMS Subject Classification 32540 doubly periodic Riccati equation, Floquet exponent, moneydromy group, fractalAMS Subject Classification 32540
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