DYNAMICAL BEHAVIOUR OF A LOTKA-VOLTERRA SYSTEM

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Alamdar H.; Najafi Sadati E.; KHOSHSIAR GHAZIANI R.

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2012 | Issue:43

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Title

DYNAMICAL BEHAVIOUR OF A LOTKA-VOLTERRA SYSTEM

Author(s)

Alamdar H. | Najafi Sadati E. | KHOSHSIAR GHAZIANI R. | Issue Writer Certificate

Keywords

LOTKA-VOLTERRA SYSTEM

PLANAR MAP

NUMBERICAL SIMULATION

BIFURCATION POINT

Abstract

THE DYNAMIC BEHAVIOUR OF A LOTKA-VOLTERRA SYSTEM, DESCRIBED BY A PLANAR MAP, IS ANALYTICALLY AND NUMERICALLY INVESTIGATED. WE DERIVE ANALYTICAL CONDITIONS FOR STABILITY AND BIFURCATION OF THE FIXED POINTS OF THE SYSTEM AND COMPUTE ANALYTICALLY THE NORMAL FORM COEFFICIENTS FOR THE CODIMENSION 1 BIFURCATION POINTS. NUMERICAL SIMULATIONS CONFIRM OUR RESULTS AND REVEAL FURTHER COMPLEX DYNAMICAL BEHAVIOURS.

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APA: Copy

Alamdar, H., Najafi Sadati, E., & KHOSHSIAR GHAZIANI, R.. (2012). DYNAMICAL BEHAVIOUR OF A LOTKA-VOLTERRA SYSTEM. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/925010/en

Vancouver: Copy

Alamdar H., Najafi Sadati E., KHOSHSIAR GHAZIANI R.. DYNAMICAL BEHAVIOUR OF A LOTKA-VOLTERRA SYSTEM. 2012. Available from: https://sid.ir/paper/925010/en

IEEE: Copy

H. Alamdar, E. Najafi Sadati, and R. KHOSHSIAR GHAZIANI, “DYNAMICAL BEHAVIOUR OF A LOTKA-VOLTERRA SYSTEM,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2012, [Online]. Available: https://sid.ir/paper/925010/en

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