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12 Result(s)

within T. Geisel Remove this filter Statistical Physics and Dynamical Systems Remove this filter

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  1. No Access

    Chapter and Conference Paper

    Pattern formation in the develo** visual cortex: Topological defects, their generation, motion, and annihilation

    The pinwheel-like arrangement of iso-orientation domains around orientation centers is a ubiquitous structural element of orientation preference maps in primary visual cortex. We show that activity-dependent s...

    F. Wolf, T. Geisel in Statistical Mechanics of Biocomplexity (1999)

  2. No Access

    Chapter and Conference Paper

    A Cortical Interpretation of ASSOMs

    Self-organizing maps have been successfully used to model map formation in the visual cortex of mammals. When applying natural images as stimuli, properties of the maps obtained for low-dimensional input manif...

    N. Mayer, M. Herrmann, H.-U. Bauer, T. Geisel in ICANN 98 (1998)

  3. No Access

    Chapter and Conference Paper

    Analysing the Context Dependence of Receptive Fields in Visual Cortex

    Stimuli outside the classical receptive field of orientation-selective cells in the visual cortex can strongly modulate the response properties of these cells. Normally, stimuli with orientation contrasts lead...

    U. Ernst, K. Pawelzik, T. Geisel in ICANN 98 (1998)

  4. No Access

    Chapter and Conference Paper

    Linear and Nonlinear Dynamics in the Development of Orientation Preference Maps

    The formation of feature-maps in the develo** visual cortex has become a central system for the study of cooperative phenomena in large neural networks, both theoretically[1, 2] and experimentally [3, 4]. Wi...

    F. Wolf, K. Pawelzik, T. Geisel in The Neurobiology of Computation (1995)

  5. No Access

    Chapter and Conference Paper

    Lévy walks in chaotic systems: Useful formulas and recent applications

    T. Geisel in Lévy Flights and Related Topics in Physics (1995)

  6. No Access

    Chapter

    The Formation of Representations in the Visual Cortex

    We give an introduction to activity-dependent learning in self-organizing neural networks and consider applications to the formation of representations (retinotopic maps) in the visual cortex. In particular we...

    H.-U. Bauer, T. Geisel, K. Pawelzik, F. Wolf in From Statistical Physics to Statistical In… (1994)

  7. No Access

    Chapter

    Optimal Smoothness of Orientation Preference Maps

    We propose a mathematical description for the spatial organization of orientation preference in the visual cortex. The theory is derived from the principle of optimal smoothness and predicts the spatial patter...

    F. Wolf, K. Pawelzik, T. Geisel, D.-S. Kim… in Computation in Neurons and Neural Systems (1994)

  8. No Access

    Chapter

    Network Dynamics and Correlated Spikes

    Oscillatory neuronal responses have been suspected to reveal assembly formation via synchronization. We analyse these data in terms of a hidden-state model, the parameters of which are estimated directly from ...

    K. Pawelzik, F. Wolf, J. Deppisch, T. Geisel in Computation in Neurons and Neural Systems (1994)

  9. No Access

    Chapter

    Alternating Predictable and Unpredictable States in Data From Cat Visual Cortex

    Visual inspection of data from cat visual cortex reveals, that the recently discovered 50-Hz-oscillations do not consist of a permanent oscillatory signal during the whole period of stimulation, but instead di...

    K. Pawelzik, H.-U. Bauer, T. Geisel in Computation and Neural Systems (1993)

  10. No Access

    Chapter

    Field Discontinuities and Islands in a Model of Cortical Map Formation

    The existence of field discontinuities, i.e. discontinuities in cortical maps of the retina is well established by neurophysiological investigations in a variety of species [1–4]. In cat, additional geometric ano...

    F. Wolf, H.-U. Bauer, T. Geisel in Computation and Neural Systems (1993)

  11. No Access

    Chapter and Conference Paper

    The role of KAM-tori for the dynamics of nonlinear quantum systems

    G. Radons, T. Geisel, J. Rubner in The Physics of Phase Space Nonlinear Dynam… (1987)

  12. No Access

    Chapter

    Deterministic Diffusion — A Quality of Chaos

    This paper reports on chaotic systems that can exhibit a deterministic “random” walk as an additional chaotic quality. This diffusive motion is generated within the dynamical system and not by external random ...

    T. Geisel in Nonequilibrium Cooperative Phenomena in Physics and Related Fields (1984)