We study the problem of information transmission in complex cooperative systems to prove that adaptivity rather than diffusion is the main source of information transport at criticality. We adopt two different cooperative models, the two-dimensional Decision Making Model (DMM), and the...

In this paper, on the basis of mesoscopic stochastic model of NO reduction by CO on single-crystal platinum surfaces, we report a novel effect of the external noise of reaction rate constant coupled to internal noise in stochastic resonance induced by external noise (SREN) or internal noise...

We study the noise-driven Van der Pol oscillator whose dissipative term yields stationary distributions of the q-exponential form. The thermostatistical observables such as internal energy and temperature are also calculated. Since this model depends on a control parameter which acts as a...

We investigate Hodgkin–Huxley neuron model with external Gaussian noise in the range of parameters where it exhibits bistability of silent and firing states, and noise-induced bursts occur. We study the response of the system to brief single pulse of current. When noise amplitude increases,...

We briefly discuss the state of the art on the anomalous dynamics of the Hamiltonian mean field (HMF) model. We stress the important role of the initial conditions for understanding the microscopic nature of the intriguing metastable quasi-stationary states (QSS) observed in the model and the...

We discuss the glassy dynamics recently found in the meta-equilibrium quasi-stationary states (QSS) of the HMF model. The relevance of the initial conditions and the connection with Tsallis nonextensive thermostatistics is also addressed.

We discuss an effective spin-glass Hamiltonian which can be used to study the glassy-like dynamics observed in the metastable states of the Hamiltonian mean field (HMF) model. By means of the Replica formalism, we were able to find a self-consistent equation for the glassy order parameter which...

A system with a short-range attraction and a competing long-range screened repulsion is studied by using the self-consistent Hartree approximation and a replica approach. It is shown that by varying the parameters of the repulsive potential and the temperature yields a phase coexistence, a...

Our model of shaken sand, presented in earlier work, has been extended to include a more realistic 'glassy' state, i.e. when the sandbox is shaken at very low intensities of vibration. We revisit some of our earlier results, and compare them with our new results on the revised model. Our...

Many interesting features of the dynamics of simple liquids near the glass transition may be understood in terms of properties of the free-energy landscape obtained from numerical studies of a model free-energy functional. Main results obtained from this approach are summarized and a list of...