L. J. Golaszewski

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We study the system ẋ = x(y+2z+(15/2η)u), ẏ = y(x−2z−(7/2η2)u), ż = −z(x+y+(4/η2)u), u = x+ y+ z− 1, and its two-parameter perturbations. We show that before perturbation there exists a one-parameter family of periodic solutions obtained via a nondegenarate Hopf bifurcation and after perturbation there remains at most one limit cycle of small amplitude and(More)
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