ber die periodischen Lsungen der van der Polschen Differentialgleichung x.. + (x

Description: ber die periodischen Lsungen der van der Polschen Differentialgleichung x.. + (x2 -1) x. + x = 0 by JÜrgen Richard Mankopf Probably it is not an exaggeration to say that, since the time of GALILEO who introduced the concept of the harmonic oscillator, we were able to actually obÂ serve a practically perfect physical image of the latter only when the VAN DER POL oscillator became available relatively a short time ago. In fact, very likely, there exists no better physical image of a simple harmonic motion than that which is produced by modern high quality electron tube oscillators, particulary those whose frequency is stabilized by quartz units. But this almost perfect physical image contains a germ of immense complexity due to the presence of an infinite spectrum of frequencies with which the energy fluctuates between the oscillator and the source of energy. These fluctuations escape our observation, however, if iJ. is very small . . . However, it is precisely this hidden complexity of vanishingly small energy fluctuations which permits obtaining a simple harmonie oscillation in its apparently pure form. N. MINORSKY, Energy Fluctuations 1D a VAN DER POL Oscillator, Journal of the Franklin Intitute 248 (1949). Diese Worte MINORSKYS stellen wir voran, um ein Schlaglicht auf die Bedeutung der v AN DER POLS ehen Differentialgleichung zu werfen. Wir verzichten hier darauf, physikalische und technische Einzelheiten nÃ¤her auszufÃ¼hren. Beispiele fÃ¼r V orgÃ¤nge, die die v AN DER POLsehe Differentialgleichung beschreibt, finden sich in der angegebenen Literatur. Schon die Vielzahl der VorgÃ¤nge, die der v AN DER POLS ehen Differentialgleichung gehorchen, rechtfertigt ihr genaues St FORMAT Paperback LANGUAGE German CONDITION Brand New Publisher Description Probably it is not an exaggeration to say that, since the time of GALILEO who introduced the concept of the harmonic oscillator, we were able to actually ob- serve a practically perfect physical image of the latter only when the VAN DER POL oscillator became available relatively a short time ago. In fact, very likely, there exists no better physical image of a simple harmonic motion than that which is produced by modern high quality electron tube oscillators, particulary those whose frequency is stabilized by quartz units. But this almost perfect physical image contains a germ of immense complexity due to the presence of an infinite spectrum of frequencies with which the energy fluctuates between the oscillator and the source of energy. These fluctuations escape our observation, however, if iJ. is very small . . . However, it is precisely this hidden complexity of vanishingly small energy fluctuations which permits obtaining a simple harmonie oscillation in its apparently pure form. N. MINORSKY, Energy Fluctuations 1D a VAN DER POL Oscillator, Journal of the Franklin Intitute 248 (1949). Diese Worte MINORSKYS stellen wir voran, um ein Schlaglicht auf die Bedeutung der v AN DER POLS ehen Differentialgleichung zu werfen. Wir verzichten hier darauf, physikalische und technische Einzelheiten näher auszufÜhren. Beispiele fÜr V orgänge, die die v AN DER POLsehe Differentialgleichung beschreibt, finden sich in der angegebenen Literatur. Schon die Vielzahl der Vorgänge, die der v AN DER POLS ehen Differentialgleichung gehorchen, rechtfertigt ihr genaues Studium. Table of Contents I. Qualitative Eigenschaften von Lösungen der van der Polschen Differentialgleichung.- II. Näherungslösungen der van der Polschen Differentialgleichung fÜr kleine ?.- III. Näherungslösungen der van der Polschen Differentialgleichung fÜr große ?.- IV. Instrumentelle Integration der van der Polschen Differentialgleichung. Long Description Probably it is not an exaggeration to say that, since the time of GALILEO who introduced the concept of the harmonic oscillator, we were able to actually ob Details ISBN3322980030 ISBN-10 3322980030 ISBN-13 9783322980038 Short Title GER-UBER DIE PERIODISCHEN LOSU Pages 61 Language German Media Book Format Paperback DEWEY 510 Year 1964 Publication Date 1964-01-01 Edition 1964th DOI 10.1007/978-3-322-98626-9 Series Number 1307 AU Release Date 1964-01-01 NZ Release Date 1964-01-01 UK Release Date 1964-01-01 Imprint Springer-Verlag Place of Publication Berlin Country of Publication Germany Illustrations 13 Illustrations, black and white; 61 S. 13 Abb. Author JÜrgen Richard Mankopf Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Edition Description 1964 ed. Series Forschungsberichte des Landes Nordrhein-Westfalen Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96301140;

Price: 115.04 AUD

Location: Melbourne

End Time: 2025-01-26T17:38:30.000Z

Shipping Cost: 9.26 AUD