Slowly Varying Oscillations And Waves From Basics To Modernity is popular PDF and ePub book, written by Lev Ostrovsky in 2022-02-23, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Slowly Varying Oscillations And Waves From Basics To Modernity can be Read Online from any device for your convenience.
Slowly Varying Oscillations And Waves From Basics To Modernity Book PDF Summary
The beauty of the theoretical science is that quite different physical, biological, etc. phenomena can often be described as similar mathematical objects, by similar differential (or other) equations. In the 20th century, the notion of 'theory of oscillations' and later 'theory of waves' as unifying concepts, meaning the application of similar methods and equations to quite different physical problems, came into being. In the variety of applications (quite possibly in most of them), the oscillatory process is characterized by a slow (as compared with the characteristic period) variation of its parameters, such as the amplitude and frequency. The same is true for the wave processes.This book describes a variety of problems associated with oscillations and waves with slowly varying parameters. Among them the nonlinear and parametric resonances, self-synchronization, attenuated and amplified solitons, self-focusing and self-modulation, and reaction-diffusion systems. For oscillators, the physical examples include the van der Pol oscillator and a pendulum, models of a laser. For waves, examples are taken from oceanography, nonlinear optics, acoustics, and biophysics. The last chapter of the book describes more formal asymptotic perturbation schemes for the classes of oscillators and waves considered in all preceding chapters.
Detail Book of Slowly Varying Oscillations And Waves From Basics To Modernity PDF
- Author : Lev Ostrovsky
- Release : 23 February 2022
- Publisher : World Scientific
- ISBN : 9789811247507
- Genre : Mathematics
- Total Page : 372 pages
- Language : English
- PDF File Size : 19,9 Mb
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