Polina Landa

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Contents Preface xiii Introduction 1 1 The purpose and subject matter of the book 1 2 The definition and significance of the theory of oscillations and waves. The subject area of its investigations. The history of the creation and development of this theory. The relation between the theory of oscillations and waves and the problems of synergetics 3
We consider an overdamped bistable oscillator subject to the action of a biharmonic force with very different frequencies, and study the response of the system when the parameters of the high-frequency force are varied. A resonantlike behavior is obtained when the amplitude or the frequency of this force is modified in an experiment performed by means of an(More)
The response of a weakly damped bistable oscillator to an external periodic force is considered theoretically. In the approximation of weak signals we can write a linearized equation for the signal and the corresponding nonlinear equation for the noise. These equations contain two unknown parameters: An effective stiffness and an additional damping factor.(More)
The effect of a high-frequency force on the response of a bistable system to a low-frequency signal is considered for both the overdamped and weakly damped cases. It is shown that the response can be optimized by an appropriate choice of vibration amplitude. This vibrational resonance displays many analogies to the well known phenomenon of stochastic(More)
The development of turbulence in subsonic submerged jets is reviewed. It is shown that the turbulence results from a strong amplification of the weak input noise that is always present in the jet nozzle exit section. At a certain distance from the nozzle the amplification becomes essentially nonlinear. This amplified noise leads to a transition of the(More)
The memory retrieval process of number problems with external noise is studied with the use of the Bonhoeffer-van der Pol oscillator model. Three cell assembly responses are simulated, coding one true number and two neighboring erroneous. The time of a correct response, Tc, was averaged over statistical assemblies of numerous trials. It is demonstrated that(More)
Experiments show that the amplitude of turbulent pulsation in submerged jets rises with increasing distance from the nozzle, at first slowly and then, after a certain distance, rapidly. This dependence on distance from the nozzle closely resembles the dependence of an order parameter on temperature in the case of a second-order phase transition. Following(More)
Contents 1. Introduction 4 2. Fluctuational transitions of nonlinear systems from one stable steady state to another 4 2.1. Elements of the theory of #uctuational transitions 4 2.2. Applications of the theory of #uctuational transitions to the problems of intermittency 12 3. Noise-induced transport of Brownian particles (stochastic ratchets) 19 3.1.(More)
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