BIFURCATION OF LIMIT CYCLES IN A NEAR HAMILTONIAN SYSTEM WITH A CUSP OF ORDER TWO AND A SADDLE

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Bakhshalizadeh A.; ZANGENEH H.R.Z.; KAZEMI R.

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Seminar Paper

Paper Information

Seminar: IRANIAN CONFERENCE ON APPLIED MATHEMATICS
Year:2013 | Issue:5

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Title

BIFURCATION OF LIMIT CYCLES IN A NEAR HAMILTONIAN SYSTEM WITH A CUSP OF ORDER TWO AND A SADDLE

Author(s)

Bakhshalizadeh A. | ZANGENEH H.R.Z. | KAZEMI R. | Issue Writer Certificate

Keywords

MELNIKOV FUNCTION

LIMIT CYCLES

HETEROCLINIC LOOP

CHEBEYSHEV PROPERTY

Abstract

IN THIS PAPER THE ASYMPTOTIC EXPANSION OF MELNIKOV FUNCTION OF FIRST-ORDER ABOUT A HETEROCLINIC LOOP CONNECTING A CUSP OF ORDER TWO AND A HYPERBOLIC SADDLE FOR A PLANAR NEAR- HAMILTONIAN SYSTEM IS GIVEN. WE FIND THAT AT MOST THREE LIMIT CYCLES CAN BE BIFURCATED FROM THE PERIOD ANNULUS, ALSO WE GIVE DIFFERENT DISTRIBUTION OF BIFURCATED LIMIT CYCLES.

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APA: Copy

Bakhshalizadeh, A., ZANGENEH, H.R.Z., & KAZEMI, R.. (2013). BIFURCATION OF LIMIT CYCLES IN A NEAR HAMILTONIAN SYSTEM WITH A CUSP OF ORDER TWO AND A SADDLE. IRANIAN CONFERENCE ON APPLIED MATHEMATICS. SID. https://sid.ir/paper/929891/en

Vancouver: Copy

Bakhshalizadeh A., ZANGENEH H.R.Z., KAZEMI R.. BIFURCATION OF LIMIT CYCLES IN A NEAR HAMILTONIAN SYSTEM WITH A CUSP OF ORDER TWO AND A SADDLE. 2013. Available from: https://sid.ir/paper/929891/en

IEEE: Copy

A. Bakhshalizadeh, H.R.Z. ZANGENEH, and R. KAZEMI, “BIFURCATION OF LIMIT CYCLES IN A NEAR HAMILTONIAN SYSTEM WITH A CUSP OF ORDER TWO AND A SADDLE,” presented at the IRANIAN CONFERENCE ON APPLIED MATHEMATICS. 2013, [Online]. Available: https://sid.ir/paper/929891/en

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