We study the nature of the instability of the homogeneous steady states of the subcritical real Ginzburg-Landau equation in the presence of group velocity. The shift of the absolute instability threshold of the trivial steady state, induced by the destabilizing cubic nonlinearities, is confirmed...

Multifractal critical phenomena with infinite-temperature critical point and with complex coexistence of the infinite and finite temperature critical points are considered and it is shown that strange attractors generated by cascades of period-doubling bifurcations (Feigenbaum scenario) as well...

Dynamical equations for a classical spin interacting with the surrounding medium are derived by means of the formalism of the oscillator-bath environment. The bilinear-coupling treatment of Jayannavar (Z. Phys. B <Emphasis Type="Bold">82, 153 (1991)) is extended to couplings that depend arbitrarily on the spin...</emphasis>

We study a generalization of the Heston model, which consists of two coupled stochastic differential equations, one for the stock price and the other one for the volatility. We consider a cubic nonlinearity in the first equation and a correlation between the two Wiener processes, which model the...