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  • Corn starch  (1)
  • Homoclinic tangency  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Rheological study of biodegradable blends of starch and polyvinyl alcohol (1995)
    Springer
    Journal of polymers and the environment 3 (1995), S. 161-167 
    Details
    ISSN: 1572-8900
    Keywords: Corn starch ; polyvinyl alcohol ; biodegradable blends ; rheology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Energy, Environment Protection, Nuclear Power Engineering , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The rheological behavior of biodegradable blends of starch and poly(vinyl alcohol) (PVOH) was measured as a function of temperature, shear rate, and moisture content using a capillary rheometer. An excellent correlation was found with a rheological model which was used as a means to characterize the influence of starch/PVOH content as well as a qualification of the viscosity for simulation studies. This model consisted of a power law dependence on shear rate, an Arrhenius dependence on temperature, and an exponential dependence on moisture.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02068467
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  • 2
    Electronic Resource
    Electronic Resource
    Homoclinic orbits and mixed-mode oscillations in far-from-equilibrium systems (1987)
    Springer
    Journal of statistical physics 48 (1987), S. 151-199 
    Details
    ISSN: 1572-9613
    Keywords: Homoclinic tangency ; bifurcation theory ; periodic attractors ; chaos ; hyperbolic repellor ; symbolic dynamics ; chemical thermokinetics ; cool flame-ignition oscillations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Nonlinear autonomous dynamical systems with ahomoclinic tangency to a periodic orbit are investigated. We study the bifurcation sequences of the mixed-mode oscillations generated by the homoclinicity, which are shown to belong to two different types, depending on the nature of the Liapunov numbers of the basic periodic orbit. A detailed numerical analysis is carried out to show how the existence of a tangent homoclinic orbit allows us to understand in a quantitative way a particular and regular sequence of cool flame-ignition oscillations observed in a thermokinetic model of hydrocarbon oxidation. Chaotic cool flame oscillations are also observed in the same model. When the control parameter crosses a critical value, this chaotic set of trajectories becomes globally unstable and forms a Cantor-like hyperbolic repellor, and the ignition mechanism generates ahomoclinic tangency to the Cantor set of trajectories. The complex bifurcation diagram may be globally reconstructed from a one-dimensional dynamical system, thanks to the strong contractivity of thermokinetics. It is found that a symbolic dynamics with three symbols is necessary to classify the periodic windows of the complex bifurcation sequence observed numerically in this system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01010405
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