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The existence and uniqueness of limit cycles for a class of cubic differential systems

WU Cheng-qiang

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Abstract

A class of cubic differential systems is investigated: dx/dt=-y(ax2+bx+1)+Dx-lx3 dy/dt=x(ax2+bx+1)For this system with a=0,b≠0 and b2=4a,the conditions for the existence and uniqueness of limit cycles are investigated.

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What this paper is about

A class of cubic differential systems is investigated: dx/dt=-y(ax2+bx+1)+Dx-lx3 dy/dt=x(ax2+bx+1)For this system with a=0,b≠0 and b2=4a,the conditions for the existence and uniqueness of limit cycles are investigated.

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Available abstract

A class of cubic differential systems is investigated: dx/dt=-y(ax2+bx+1)+Dx-lx3 dy/dt=x(ax2+bx+1)For this system with a=0,b≠0 and b2=4a,the conditions for the existence and uniqueness of limit cycles are investigated.

Key concepts: Uniqueness, Limit (mathematics), Class (philosophy), Mathematics, Limit cycle, Differential (mechanical device), Mathematical analysis, Physics

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