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LIU Xing-bo. Existence and Uniqueness of Limit Cycle for A Nonlinear Equation[J]. Journal of East China Normal University (Natural Sciences), 2004, (3): 1-5,28.
Citation:
LIU Xing-bo. Existence and Uniqueness of Limit Cycle for A Nonlinear Equation[J]. Journal of East China Normal University (Natural Sciences), 2004, (3): 1-5,28.
LIU Xing-bo. Existence and Uniqueness of Limit Cycle for A Nonlinear Equation[J]. Journal of East China Normal University (Natural Sciences), 2004, (3): 1-5,28.
Citation:
LIU Xing-bo. Existence and Uniqueness of Limit Cycle for A Nonlinear Equation[J]. Journal of East China Normal University (Natural Sciences), 2004, (3): 1-5,28.
This paper considers the existence and uniqueness of limit cycle for a planar autonomous system x=Q(x,y), y=P(x). The conditions of existence of limit cycle in papers [7~9] are simplified, in addition, The uniqueness of limit cycle is discussed. Simpler conditions for the existence and uniqueness of limit cycle are obtained.