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Stochastic Processes; Fluctuation Phenomena; Classical Statistical Mechanics; Oscillator; Brownian Motion; Stochastic Resonance; Multiplicative Noise
Statistical mechanics. --- Stochastic differential equations. --- Oscillations. --- Noise. --- Sound --- Silence --- Cycles --- Fluctuations (Physics) --- Vibration --- Differential equations --- Fokker-Planck equation --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Statistical physics --- Thermodynamics
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Pendulum is the simplest nonlinear system, which, however, provides the means for the description of different phenomena in Nature that occur in physics, chemistry, biology, medicine, communications, economics and sociology. The chaotic behavior of pendulum is usually associated with the random force acting on a pendulum (Brownian motion). Another type of chaotic motion (deterministic chaos) occurs in nonlinear systems with only few degrees of freedom. This book presents a comprehensive description of these phenomena going on in underdamped and overdamped pendula subject to additive and multip
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This book contains the general description of the mathematical pendulum subject to constant torque, periodic and random forces. The latter appear in additive and multiplicative form with their possible correlation. For the underdamped pendulum driven by periodic forces, a new phenomenon - deterministic chaos - comes into play, and the common action of this chaos and the influence of noise are taken into account. The inverted position of the pendulum can be stabilized either by periodic or random oscillations of the suspension axis or by inserting a spring into a rigid rod, or by their combinat
Pendulum. --- Noise. --- Mechanics. --- Physics.
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Chemical reactions at high pressures are widely used in modern technology (supercritical extraction is an example). This book sums up the results of 222 published articles, both theoretical and experimental. It is suitable for students and researchers working in this field.
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