On a hypothetical model with second kind chebyshev`s polynomial-correction: type of limit cycles, simulations, and possible applications

HIGHLIGHTS

SUMMARY

Hilbert proposed 23 mathematical problems, of which the second part of the 16th one is to find the maximal number of limit cycles and their relative locations for polynomial vector fields. A large part of the scientific articles is concerned with the Lienard system x 0=y, y0=g( x ) + e f ( x ), where e is a small parameter and f ( x ) and g( x ) are polynomials of degree m and n. 2πr2 Perko and collaborators ensure the needful information about radii and the number of limit cycles. The number and type of . . .

 



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