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  • Electronic Resource  (17)
  • 1
    Electronic Resource
    Electronic Resource
    Arbitrariness in nature: synergetics and evolutionary laws of prohibition (2000)
    Springer
    Journal for general philosophy of science 31 (2000), S. 57-73 
    Details
    ISSN: 1572-8587
    Keywords: complex systems ; evolution ; nonlinearity ; pre-determination ; self-organization ; soft management ; structure-attractors ; synergetics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Philosophy , Nature of Science, Research, Systems of Higher Education, Museum Science
    Notes: Abstract The philosophical consequences of synergetics, the interdisciplinary theory of evolution and self-organization of complex systems, are being drawn in the paper. The idea of discreteness of evolutionary paths is in the focus of attention. Although the future is open, and there are many alternative evolutionary paths for complex systems, not any arbitrary (either conceivable or desirable) evolutionary path is feasible in a given system. There are discrete spectra of possible evolutionary paths which are determined exclusively by inner properties of the corresponding systems. Synergetics allows us to reveal general laws of self-organization and, therefore, certain limits of arbitrariness of nature in choosing possible paths of evolution as well as in constructing of a complex evolutionary whole. A comparative analysis between the modern synergetic notions and a few ideas of the Western philosophy (F. Nietzsche, N. Hartmann, M. Heidegger) and of the Eastern teachings (Taoism, Buddhism) is made.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008369525041
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  • 2
    Electronic Resource
    Electronic Resource
    Future Trends in Synergetics (2004)
    s.l. ; Stafa-Zurich, Switzerland
    Solid state phenomena Vol. 97-98 (Apr. 2004), p. 3-10 
    Details
    ISSN: 1662-9779
    Source: Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://www.tib-hannover.de/fulltexts/2011/0528/02/26/transtech_doi~10.4028%252Fwww.scientific.net%252FSSP.97-98.3.pdf
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  • 3
    Electronic Resource
    Electronic Resource
    Misinformation (1993)
    [s.l.] : Nature Publishing Group
    Nature 362 (1993), S. 509-509 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] INFORMATION theory and molecular biology are both large and important fields. In this book, H. P. Yockey tries to link the two. Quite often the word 'information' is used with different meanings, but from the very beginning he sticks to a single interpretation — Shannon information. This ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/362509a0
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  • 4
    Electronic Resource
    Electronic Resource
    An explicit construction of a class of suspensions and autonomous differential equations for diffeomorphisms in the plane (1987)
    Springer
    Communications in mathematical physics 111 (1987), S. 63-74 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract From a large class of diffeomorphisms in the plane, which are known to produce chaotic dynamics, we explicitly construct their continuous suspension on a three dimensional cylinder. This suspension is smooth (C 1) and can be characterized by the choice of two smooth functions on the unit interval, which have to fulfill certain boundary conditions. For the case of entire Cremona transformations, we are able to construct the corresponding autonomous differential equations of the flow explicitly. Thus it is possible to relate properties of discrete maps to those of ordinary differential equations in a quantitative manner. Furthermore, our construction makes it possible to study the exact solutions of chaotic differential-equations directly.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01239015
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  • 5
    Electronic Resource
    Electronic Resource
    Synchronized oscillations in the visual cortex – a synergetic model (1995)
    Springer
    Biological cybernetics 74 (1995), S. 31-39 
    Details
    ISSN: 1432-0770
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Computer Science , Physics
    Notes: Abstract.  We present an oscillator network model for the synchronization of oscillatory neuronal activity underlying visual processing. The single neuron is modeled by means of a limit cycle oscillator with an eigenfrequency corresponding to visual stimulation. The eigenfrequency may be time dependent. The mutual coupling strengths are unsymmetrical and activity dependent, and they scatter within the network. Synchronized clusters (groups) of neurons emerge in the network due to the visual stimulation. The different clusters correspond to different visual stimuli. There is no limitation of the number of stimuli. Distinct clusters do not perturb each other, although the coupling strength between all model neurons is of the same order of magnitude. Our analysis is not restricted to weak coupling strength. The scatter of the couplings causes shifts of the cluster frequencies. The model’s behavior is compared with the experimental findings. The coupling mechanism is extended in order to model the influence of bicucullin upon the neural network. We additionally investigate repulsive couplings, which lead to constant phase differences between clusters of the same frequency. Finally, we consider the problem of selective attention from the viewpoint of our model.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004220050216
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  • 6
    Electronic Resource
    Electronic Resource
    Synchronized oscillations in the visual cortex — a synergetic model (1996)
    Springer
    Biological cybernetics 74 (1996), S. 31-39 
    Details
    ISSN: 1432-0770
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Computer Science , Physics
    Notes: Abstract We present an oscillator network model for the synchronization of oscillatory neuronal activity underlying visual processing. The single neuron is modeled by means of a limit cycle oscillator with an eigenfrequency corresponding to visual stimulation. The eigenfrequency may be time dependent. The mutual coupling strengths are unsymmetrical and activity dependent, and they scatter within the network. Synchronized clusters (groups) of neurons emerge in the network due to the visual stimulation. The different clusters correspond to different visual stimuli. There is no limitation of the number of stimuli. Distinct clusters do not perturb each other, although the coupling strength between all model neurons is of the same order of magnitude. Our analysis is not restricted to weak coupling strength. The scatter of the couplings causes shifts of the cluster frequencies. The model's behavior is compared with the experimental findings. The coupling mechanism is extended in order to model the influence of bicucullin upon the neural network. We additionally investigate repulsive couplings, which lead to constant phase differences between clusters of the same frequency. Finally, we consider the problem of selective attention from the viewpoint of our model.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00199135
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    Zum Identitätsproblem bei Gruppen (1952)
    Springer
    Mathematische Zeitschrift 56 (1952), S. 335-362 
    Details
    ISSN: 1432-1823
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01686754
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  • 8
    Electronic Resource
    Electronic Resource
    Synergetik: Nichtgleichgewichte, Phasenübergänge und Selbstorganisation (1981)
    Springer
    Naturwissenschaften 68 (1981), S. 293-299 
    Details
    ISSN: 1432-1904
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Natural Sciences in General
    Notes: Abstract The formation of ordered structures seems to contradict fundamental principles of physics according to which disorder should ever increase. Synergetics deals with the question how in spite of these laws structures can arise. We shall give a number of explicit examples. Large classes of ordered states in open systems are determined by a new principle based on the growth rates of collective configurations. In contrast, concepts such as entropy or entropy production are inadequate to treat such phenomena.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01047471
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  • 9
    Electronic Resource
    Electronic Resource
    Quasiperiodicity involving twin oscillations in the complex Lorenz equations describing a detuned laser (1990)
    Springer
    The European physical journal 81 (1990), S. 457-461 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Quasiperiodical motion in the complex Lorenz equations describing a detuned laser is shown to consist of twin oscillations: the first oscillation originates from Hopf bifurcation and the second is a parastic oscillation of the first one. Equations for the twin asymptotic oscillations are analytically derived in the center manifold, showing explicitly the parastic property of the second oscillation: its frequency is proportional to the square of the amplitude of the first one. The phase of the second oscillation shows also certainanholonomy which is very similar to the characteristics of Berry's phase. Numerical results show further that the first oscillation follows the sequence of bifurcations from simple periodic through period-doubling to chaos, as one continuously increases the control parameter, whereas the frequency of the parastic oscillation does not change qualitatively during the bifurcation process.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01390829
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  • 10
    Electronic Resource
    Electronic Resource
    Unbiased determination of forces causing observed processes (1992)
    Springer
    The European physical journal 88 (1992), S. 95-103 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Using measured short time correlation functions of a stochastic process as constraints in the maximum calibre principle of Jaynes, we formulate the joint probability distribution function of the process. The Lagrange multipliers which hereby occur are determined by minimizing a time-dependent form of the (Kullback) information gain. This step can alternatively be interpreted as if our system builds a neural network which “learns” the Lagrange multipliers. Next, we proceed to determine explicit formulas-expressed in terms of the Lagrange multipliers-for the drift and diffusion coefficients appearing in the corresponding Ito-Langevin equation, which describe the forces underlying the process. Computer-simulations of two processes are presented, showing good confirmation of the theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01573843
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