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PROPERTIES IN THE LARGE OF QUADRATIC SYSTEMS IN THE PLANE 被引量:1

PROPERTIES IN THE LARGE OF QUADRATIC SYSTEMS IN THE PLANE
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摘要 The author proves that any quadratic system in the plane can be changed into the quadratic system (E<sub>1</sub>) or (E<sub>2</sub>) by means of linear transformations, and then gives a necessary and sufficient condition for the systems (E<sub>1</sub>) and (E<sub>2</sub>) to be bounded for t≥0 and to have precisely one monotone unboundol orbit for t≥0 respectively. The author proves that any quadratic system in the plane can be changed into the quadratic system (E_1) or (E_2) by means of linear transformations, and then gives a necessary and sufficient condition for the systems (E_1) and (E_2) to be bounded for t≥0 and to have precisely one monotone unboundol orbit for t≥0 respectively.
作者 韩茂安
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1989年第3期312-322,共11页 数学年刊(B辑英文版)
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