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Teil B: Nichtlineare Schwingungen
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Technology & EngineeringPhysics
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ISBN10: 3642953484
ISBN13: 9783642953484
Publisher: Springer
Published: Jun 13 2012
Pages: 577
Weight: 2.06
Height: 1.21 Width: 6.69 Depth: 9.61
Language: German
ISBN13: 9783642953484
Publisher: Springer
Published: Jun 13 2012
Pages: 577
Weight: 2.06
Height: 1.21 Width: 6.69 Depth: 9.61
Language: German
VI hat mit viel Geschick, FleiG und Aufmerksamkeit die schwierige Schreib- arbeit geleistet. Allen Beteiligten, ouch den ungenannten Helfern, die sich um die Anfertigung des Monuskripts, der Formeln und Zeichnungen und der Druckvorlage verdient gemacht hoben, gebuhrt der Dank der Benutzer. Darmstadt, im Februor 1980 Inhaltsverzeichnis Kapitel 5: Autonome Schwingungen nicht Ii nearer Gebilde 5. 1 Ubersicht 5. 11 Gegensatz linear - nichtlinear; Benennungen; Klassifika- tionen der Systeme - - - - - 5. 12 Dimensionslose Veranderliche 10 5. 13 Hinweise 14 5. 2 Bewegungsraum und Phasenebene 15 5. 20 Zustandsgr Ben; Differentialgleichung zweiter Ordnung; System von Differentialgleichungen erster Ordnung - -- 15 5. 21 Bewegungsraum, Phasenebene, Phasenzylinder; regulare und singulare Punkte - - - - - . . - - - - 19 5. 22 Klassifikation der singularen Punkte 29 5. 23 Geschlossene Phasenkurven; Grenzzykel; Poincarescher Index 43 5. 3 Stabili tat 56 5. 30 Sprachgebrauch, Benennungen 56 5. 31 Definitionen der Stabilitat 57 5. 32 Bemerkungen zur Untersuchung auf Stabilitat 64 5. 4 Periodische Schwingungen konservativer und aktiver Gebilde; ihr Zeitverlauf - - - - - - - - - - - -- - - --. - 65 5. 40 Die Differentialgleichungen konservativer Schwinger. 65 5. 41 Schwinger yom Grundtyp x + f(x) = 0 68 5. 42 Grundtyp; ungerade Funktionen f(x) 76 5. 43 Grundtyp; stuckweise lineare Kennlinien 94 5. 44 Grundtyp; Zusommenhang zwischen Periodendauer und Ke- linie, isochrone Schwingungen nichtlinearer Schwinger -- 103 5.
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