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- W1691244906 abstract "This chapter considers one of the most well-known asymptotic methods of studying nonlinear systems, using the so-called averaging procedure. Van der Pol's main idea was to bring the quasilinear system, by substitution of the parameters, to the form and approximate the obtained system using some average system. The chapter presents the fundamental ideas and statements, focusing on simple arguments that confirm the validity of the Van der Pol method. Self-oscillatory systems include all brass and stringed musical instruments, pendulum clocks, oscillators, lasers, and many other systems. In a valve oscillator, continuous oscillations occur not under the external force, but due to the DC power supply existing in the oscillator itself. A mechanical pendulum clock makes periodic continuous oscillations due to the energy created when the spring is deformed as it is wound up." @default.
- W1691244906 created "2016-06-24" @default.
- W1691244906 creator A5091446815 @default.
- W1691244906 date "2015-05-11" @default.
- W1691244906 modified "2023-09-24" @default.
- W1691244906 title "The Van der Pol Method. Self‐Sustained Oscillations and Truncated Systems" @default.
- W1691244906 doi "https://doi.org/10.1002/9783527695942.ch12" @default.
- W1691244906 hasPublicationYear "2015" @default.
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