Abstract
Two classes of nonlinear systems with one degree of freedom, each having several stable limit cycles, are introduced and analyzed. The realization of one of them is presented in the form of a simple compact electronic device. The “Van der Pol structured” equation having a given number of limit cycles with prescribed amplitudes is analytically synthesized in a framework of quasilinear theory. The qualitative structure of the phase space of such systems has dynamical properties similar to certain situations in chemical kinetics, applied physics and biology.
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