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A class of reversible cubic systems with an isochronous center. (English) Zbl 0982.34024
The authors study cubic differential systems having an isochronous center and an inverse integrating factor formed by two different parallel straight lines. They have found nine subclasses of such time-reversible systems. The authors also prove that time-reversible polynomial differential systems with a nondegenerate center have half of the isochronous constant equal to zero and present two open problems.

MSC:
34C05Location of integral curves, singular points, limit cycles (ODE)
34C60Qualitative investigation and simulation of models (ODE)
34C25Periodic solutions of ODE
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References:
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