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  • 1
    Digitale Medien
    Digitale Medien
    Springer
    Nonlinear dynamics 12 (1997), S. 251-262 
    ISSN: 1573-269X
    Schlagwort(e): Bifurcation ; chaos ; Duffingoscillator ; fractal basin boundary ; PIDcontroller
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract We discuss in this paper the bifurcation, stability and chaos of the non-linear Duffing oscillator with a PID controller. Hopf bifurcation can occur and we show that there is a global stable fixed point. The PID controller works well in some fields of the parameter space, but in other fields of the parameter space, or if the reference input is not equal to zero, chaos is common for hard spring type system and so is fractal basin boundary for soft spring system. The Melnikov method is used to obtain the criterion of fractal basin boundary.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    Bognor Regis [u.a.] : Wiley-Blackwell
    Journal of Polymer Science Part A: Polymer Chemistry 35 (1997), S. 3575-3583 
    ISSN: 0887-624X
    Schlagwort(e): latexes ; dispersion polymerization ; styrene ; PEO macromonomer ; Chemistry ; Polymer and Materials Science
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie
    Notizen: The particle sizes and their size distributions of latexes from the dispersion polymerization of styrene using a small amount of ω-methoxy poly(ethylene oxide)n undecyl-α-methacrylate macromonomer (PEO-R-MA-40) as a polymerizable stabilizer in ethanol-water media have been studied. Monodisperse or/and nearly monodisperse latex particles from 0.1 to 1 μm in diameter were readily obtained. The diameter of latex particles follows the relationship Dvad ∝ θ0.33 [PEO-R-MA-40]-0.60 [styrene]01.02 [AIBN]o-0.09, where θ is the fractional conversion of styrene. Except for the styrene concentration dependency, this relationship is in excellent agreement with the model developed by Paine11 and modified by Kawaguchi et al.13 When the surface composition of the grafted PEO macromonomer on the latex particles exceeded 16% as analyzed by X-ray photoelectron spectroscopy (XPS), the particles were nearly monodisperse. In terms of polymerization, this occurred around 18% conversion of styrene. Beyond this critical state of polymerization, the latex particles grew bigger with more PEO macromonomer-styrene copolymers situated on the particle surface. The effect of various factors on the particle size distribution is also discussed. © 1997 John Wiley & Sons, Inc. J Polym Sci A: Polym Chem 35: 3575-3583, 1997
    Zusätzliches Material: 7 Ill.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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