| Abstract: | We study the emergence of oscillatory self-sustained behavior in a nonequilibrium Nambu
system that features an exchange between different kinetical and potential energy forms.
To this end, we study the Yamaleev oscillator in a canonical-dissipative framework. The
bifurcation diagram of the nonequilibrium Yamaleev oscillator is derived and different
bifurcation routes that are leading to limit cycle dynamics and involve pitchfork and Hopf
bifurcations are discussed. Finally, an analytical expression for the probability density
of the stochastic nonequilibrium oscillator is derived and it is shown that the shape of
the density function is consistent with the oscillator properties in the deterministic
case. |
