LIMIT CYCLES FOR m–PIECEWISE DISCONTINUOUS POLYNOMIAL LIÉNARD DIFFERENTIAL EQUATIONS
نویسندگان
چکیده
We provide lower bounds for the maximum number of limit cycles for the m–piecewise discontinuous polynomial differential equations ẋ = y + sgn(gm(x, y))F (x), ẏ = −x, where the zero set of the function sgn(gm(x, y)) with m = 2, 4, 6, . . . is the product of m/2 straight lines passing through the origin of coordinates dividing the plane in sectors of angle 2π/m, and sgn(z) denotes the sign function.
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