A noisy damping parameter in the equation of motion of a nonlinear oscillator renders the fixed point of the system unstable when the amplitude of the noise is sufficiently large. However, the stability diagram of the system can not be predicted from the analysis of the moments of the linearized...

We study the model of interacting agents proposed by Chakraborti and Chakrabarti [Eur. Phys. J. B 17 (2000) 167] that allows agents to both save and exchange wealth. Closed equations for the wealth distribution are developed using a mean field approximation.

Kinematics of stochastic mechanics is used to study diffusion problems at a more general level, without forcing a link to Newtonian mechanics. Stochastic velocities are taken from Nelson's kinematics to study nonlinear random systems. Random effects are systematically separated from the...