THE SHAPE OF LIMIT CYCLES FOR A CLASS OF QUINTIC POLYNOMIAL DIFFERENTIAL SYSTEMS | Zendy

Xuemei Wei | Zendy; Shuliang Shui | Zendy

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THE SHAPE OF LIMIT CYCLES FOR A CLASS OF QUINTIC POLYNOMIAL DIFFERENTIAL SYSTEMS

Author(s) -

Xuemei Wei,

Shuliang Shui

Publication year - 2013

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2013021

Subject(s) - mathematics , quintic function , limit (mathematics) , limit cycle , mathematical analysis , hopf bifurcation , differential (mechanical device) , polynomial , periodic orbits , bifurcation , class (philosophy) , nonlinear system , physics , quantum mechanics , artificial intelligence , computer science , thermodynamics

We consider the problem of finding limit cycles for a class of quintic polynomial differential systems and their global shape in the plane. An answer to this problem can be given using the averaging theory. More precisely, we analyze the global shape of the limit cycles which bifurcate from a Hopf bifurcation and periodic orbits of the linear center ẋ = −y, ẏ = x, respectively.

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