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On Canard Homoclinic of a Liénard Perturbation System

On Canard Homoclinic of a Liénard Perturbation System
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摘要 The classification on the orbits of some Liénard perturbation system with several parameters, which is relation to the example in [1] or [2], is discussed. The conditions for the parameters in order that the system has a unique limit cycle, homoclinic orbits, canards or the unique equilibrium point is globally asymptotic stable are given. The methods in our previous papers are used for the proofs. The classification on the orbits of some Liénard perturbation system with several parameters, which is relation to the example in [1] or [2], is discussed. The conditions for the parameters in order that the system has a unique limit cycle, homoclinic orbits, canards or the unique equilibrium point is globally asymptotic stable are given. The methods in our previous papers are used for the proofs.
机构地区 不详
出处 《Applied Mathematics》 2011年第10期1221-1224,共4页 应用数学(英文)
关键词 Liénard SYSTEM CANARDS Limit Cycles HOMOCLINIC ORBITS Global ASYMPTOTIC Stability Liénard System Canards Limit Cycles Homoclinic Orbits Global Asymptotic Stability
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