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  1. 1.
    0504264 - MÚ 2020 RIV GB eng J - Journal Article
    Fencl, M. - Kučera, Milan
    Unilateral sources and sinks of an activator in reaction-diffusion systems exhibiting diffusion-driven instability.
    Nonlinear Analysis: Theory, Methods & Applications. Roč. 187, October (2019), s. 71-92. ISSN 0362-546X. E-ISSN 1873-5215
    Institutional support: RVO:67985840
    Keywords : maximal eigenvalue * positively homogeneous operators * reaction–diffusion systems * unilateral terms * Turing's patterns
    OECD category: Pure mathematics
    Impact factor: 1.587, year: 2019 ; AIS: 1.087, rok: 2019
    Method of publishing: Limited access
    Result website:
    http://dx.doi.org/10.1016/j.na.2019.04.001DOI: https://doi.org/10.1016/j.na.2019.04.001

    A reaction–diffusion system exhibiting Turing's diffusion driven instability is considered. The equation for an activator is supplemented by unilateral terms of the type s − (x)u − , s + (x)u + describing sources and sinks active only if the concentration decreases below and increases above, respectively, the value of the basic spatially constant solution which is shifted to zero. We show that the domain of diffusion parameters in which spatially non-homogeneous stationary solutions can bifurcate from that constant solution is smaller than in the classical case without unilateral terms. It is a dual information to previous results stating that analogous terms in the equation for an inhibitor imply the existence of bifurcation points even in diffusion parameters for which bifurcation is excluded without unilateral sources. The case of mixed (Dirichlet–Neumann) boundary conditions as well as that of pure Neumann conditions is described.
    Permanent Link: http://hdl.handle.net/11104/0295933
     
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    Kucera.pdf11.1 MBPublisher’s postprintrequire
     
  2. 2.
    0549254 - FLÚ 2022 RIV DE ger M - Monography Chapter
    Gutschmidt, Holger
    Hegel und die Aufklärung.
    [Hegel and the Enlightenment.]
    Wezel-Jahrbuch: Studien zur europäischen Aufklärung. Band 16/17. Hannover: Wehrhahn Verlag, 2021 - (Bojda, M.; Heinz, J.), s. 159-177. ISBN 978-3-86525-887-8
    Institutional support: RVO:67985955
    Keywords : G. W. F. Hegel * Enlightenment * Reason * Metaphysics
    OECD category: Philosophy, History and Philosophy of science and technology

    Dieser Beitrag behandelt Hegels Kritik der Aufklärung. Die Entwicklung von Hegels Sicht auf die Aufklärung von seinen frühen Versuchen bis zum späten System wird diskutiert. Während der junge Hegel die Aufklärung grundsätzlich zurückweist, kann der spätere Hegel wenigstens ihren negativen Einfluß auf traditionelle und religiöse Auffassungen anerkennen. Der späte Hegel integriert Aufklärungsideen in seine eigene Theorie, doch versucht, die Grundannahmen der Aufklärung zu überwinden.

    This contribution deals with Hegel’s criticism of the Enlightenment. The development of Hegel’s view of the Enlightenment from his early philosophicals essays until the late system is discussed. Whilst the young Hegel generally rejects Enlightenment thought, the later Hegel acknowledges its if only negative influence on religious and traditional ideas. The late Hegel integrates Enlightenment ideas in his own philosophy, but tries to overcome many of its presuppositions.
    Permanent Link: http://hdl.handle.net/11104/0325562
     
     

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