Two-State Theory of Nonlinear Stochastic Resonance

Two-state theory of nonlinear stochastic resonance.

An amenable, analytical two-state description of the nonlinear population dynamics of a noisy bistable system driven by a rectangular subthreshold signal is put forward. Explicit expressions for the driven population dynamics, the correlation function (its coherent and incoherent parts), the signal-to-noise ratio (SNR), and the stochastic resonance (SR) gain are obtained. Within a suitably chos...

Nonlinear Theory of Stochastic Resonance

Theory of nonlinear resonance, including stochastic one, is developed on the basis of the statistical field theory and using variables action-angle. Explicit expressions of action, proper frequency and nonlinearity parameter as functions of the system energy and the external signal frequency are found for the cases of nonlinear pendulum and double well potential. PACS: 02.50.-r; 05.10.Gg; 05.45.-a

Stochastic Resonance in Two-State Markov Chains

The notion of Stochastic Resonance appeared about twenty years ago in the works of Benzi et al. [1] and Nicolis [2] in the context of an attempt to explain the phenomenon of ice ages. The modern methods of acquiring and interpreting climate records indicate at least seven major climate changes in the last 700,000 years. These changes occurred with the periodicity of about 100, 000 years and are...

Stochastic Resonance in Two-State Markov Chains

Nonlinear quantum stochastic resonance.

We investigate quantum stochastic resonance ~QSR! in the periodically driven spin-boson system with Ohmic dissipation. For the special case a5 1 2 of the Ohmic coupling strength we present exact QSR results. For arbitrary Ohmic coupling, the amplitude and the phase of the nonlinear response function vs temperature are studied in a vast regime of temperatures and frequencies. It encompasses a di...