Mathematical Study and Visualization of Complex Dynamical Systems

  • Sørensen, Dan Erik Krarup (Project Manager)
  • Branner, Bodil (Project Participant)
  • Douady, Adrien (Project Participant)
  • Tisseyre, Francois (Project Participant)

    Project Details

    Description

    The aim of this project is to
    visualize hardly accessable
    phenomena within complex
    dynamical systems, such as:
    the parabolical implosion,
    holomorfic surgery and
    renormalization, as well as
    to illustrate the elementary
    phenomena: iteration,
    topological models and
    potential theoretical tools.
    In order to be able to
    visualize the phenomena
    mentioned, thorough
    mathematical studies are
    necessary. A number of known
    proofs need to be modified
    and new proofs established in
    order to achieve the
    mathematical visualization.
    The visualization media is
    the video, but it is accompanied
    with explicatory material,
    interactive programs
    (possibly as CD-ROM) and
    finally classical
    mathematical publications.
    The receiving audience
    includes mathematical
    high-school students to
    fellow researchers within the
    area. Keywords: Holomorphic
    dynamics, algorithms,
    computer animation.
    StatusFinished
    Effective start/end date01/09/199631/08/1997

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