It is well known that low-dimensional nonlinear deterministic maps close to a tangent bifurcation exhibit intermittency and this circumstance has been exploited, e.g., by Procaccia and Schuster [Phys. Rev. A 28, 1210 (1983)], to develop a general theory of 1/f spectra. This suggests it is interesting to study the extent to which the behavior of a high-dimensional stochastic system can be descri...

Three aspects of time series are uncertainty (dispersion at a given time scale), scaling (time-scale dependence), and intermittency (inclination to change dynamics). Simple measures of dispersion are the mean absolute deviation and the standard deviation; scaling exponents describe how dispersions change with the time scale. Intermittency has been defined as a difference between two scaling exp...

We describe the method for finding the non-Gaussian tails of the probability distribution function ~PDF! for solutions of a stochastic differential equation, such as the convection equation for a passive scalar, the random driven Navier-Stokes equation, etc. The existence of such tails is generally regarded as a manifestation of the intermittency phenomenon. Our formalism is based on the WKB ap...

A phenomenon of intermittency of intermittencies is discovered in the temporal behavior of two coupled complex systems. We observe for the first time the coexistence of two types of intermittent behavior taking place simultaneously near the boundary of the synchronization regime of coupled chaotic oscillators. This phenomenon is found both in the numerical and physiological experiments. The law...

The bifurcation transition is studied for the onset of intermittency analogous to the Pomeau-Manneville mechanism of type I, but generalized for the presence of a quasiperiodic external force. The analysis is concentrated on the torus-fractalization (TF) critical point that occurs at some critical amplitude of driving. (At smaller amplitudes the bifurcation corresponds to a collision and subseq...

Recently, methods have been developed to model low-dimensional chaotic systems in terms of stochastic differential equations. We tested such methods in an electronic circuit experiment. We aimed to obtain reliable drift and diffusion coefficients even without a pronounced time-scale separation of the chaotic dynamics. By comparing the analytical solutions of the corresponding Fokker-Planck equa...

The concept of a battered woman syndrome was tested by assessing 50 battered women and 25 emotionally abused women who had recently left their relationships. For both groups, essential features of the syndrome were present and were significantly interrelated. Dynamic features of the prior abusive relationship correlated significantly with these sequelae. The concept of intermittency is proposed...

We consider a low-dimensional model of hydromagnetic convection in a horizontally magnetized layer of a viscous fluid heated from below, which is a generalization of the standard Lorenz model. We analyze the stability of the fluid influenced by the induced magnetic field. By changing two control parameters related to the temperature difference and the applied magnetic field strength, one can se...

We study the collective behavior in a random network of coupled Chaté Manneville (CM) maps where the relevant variables are the connectivity k, coupling ε, and the governing parameter of map r. We show that for some interval of their values at least a considerable fraction of network sites display a spatio-temporal intermittency. Within the intermittency window, the system exhibits a complex co...