RELATIONSHIPS BETWEEN DARBOUX INTEGRABILITY AND LIMIT CYCLES FOR A CLASS OF ABLE EQUATIONS

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SHARIATI H.; MOHAMMADI NEJADEH H.M.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

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Journal: Journal of Sciences, Islamic Republic of Iran Year:2006 | Volume:17 | Issue:3 Page(s): 265-272

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Title

RELATIONSHIPS BETWEEN DARBOUX INTEGRABILITY AND LIMIT CYCLES FOR A CLASS OF ABLE EQUATIONS

Author(s)

SHARIATI H. | MOHAMMADI NEJADEH H.M. | Issue Writer Certificate

Keywords

LIMIT CYCLES

DARBOUX INTEGRABLE

HOMOGENEOUS POLYNOMIAL

ABEL EQUATIONS

BERNOULLI EQUATION

Abstract

We consider the class of polynomial ial differential equation x =pn (x, y) +p n+m (x, y)+pn+2m (x, y), y=Qn (x, y)+Qn+m (x, y)+Q n+2m (x, y). For m, n ≥1 where Pi and Qi are HOMOGENEOUS POLYNOMIALs of degree i. Inside this class of polynomial differential equation we consider a subclass of DARBOUX INTEGRABLE systems. Moreover, under additional conditions we proved such DARBOUX INTEGRABLE systems can have at most 1 limit cycle.

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APA: Copy

SHARIATI, H., & MOHAMMADI NEJADEH, H.M.. (2006). RELATIONSHIPS BETWEEN DARBOUX INTEGRABILITY AND LIMIT CYCLES FOR A CLASS OF ABLE EQUATIONS. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 17(3), 265-272. SID. https://sid.ir/paper/545617/en

Vancouver: Copy

SHARIATI H., MOHAMMADI NEJADEH H.M.. RELATIONSHIPS BETWEEN DARBOUX INTEGRABILITY AND LIMIT CYCLES FOR A CLASS OF ABLE EQUATIONS. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2006;17(3):265-272. Available from: https://sid.ir/paper/545617/en

IEEE: Copy

H. SHARIATI, and H.M. MOHAMMADI NEJADEH, “RELATIONSHIPS BETWEEN DARBOUX INTEGRABILITY AND LIMIT CYCLES FOR A CLASS OF ABLE EQUATIONS,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 17, no. 3, pp. 265–272, 2006, [Online]. Available: https://sid.ir/paper/545617/en

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