Criteria for the nonexistence of periodic orbits in planar differential systems

J. Giné, J. Llibre
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Abstract

In this work we summarize some well-known criteria for the nonexistence of periodic orbits in planar differential systems. Additionally we present two new criteria and illustrate with examples these criteria.
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平面微分系统周期轨道不存在的判据
在这项工作中,我们总结了平面微分系统周期轨道不存在的一些众所周知的判据。此外,我们提出了两个新的标准,并举例说明了这些标准。
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Time-Reversibility and Ivariants of Some 3-dim Systems A survey on local integrability and its regularity Some families of quadratic systems with at most one limit cycle Criteria for the nonexistence of periodic orbits in planar differential systems The bifurcation diagram of the configurations of invariant lines of total multiplicity exactly three in quadratic vector fields
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