metadata/DDNSV17.json

{
  "id": "DDNSV17",
  "url": "https://www.bmtdynamics.org/cgi-bin/display.pl?name=DDNSV17",
  "title": "Rigorous Reachability Analysis and Domain Decomposition of Taylor Models",
  "pdfs": [
    {
      "url": "https://www.bmtdynamics.org/pub/papers/DDNSV17/DDNSV17.pdf",
      "filename": "DDNSV17.pdf",
      "size_bytes": null
    }
  ],
  "page_text": "Publications\nReprint Server\nRigorous Reachability Analysis and Domain Decomposition of Taylor Models\nAbstract\nWe present mathematically rigorous computational methods for the transport\nof large domains through ODEs with the goal of making rigorous statements\nabout their long term evolution. Of particular interest are determination\nof locations of attractors, reachability of certain sets, and proof\nof non-reachability of others. The methods are based on Taylor model\nverified integrators for the propagation of large domains, and heavily\nrely on automatic domain decomposition for accuracy. We illustrate\nthe behavior and performance of these methods using several commonly\nstudied dynamical systems.\nM. Berz, K. Makino,\nLecture Notes in Computer Science\n10381\n(2017) 90-97\nDownload\nClick on the icon to download the corresponding file.\nDownload Adobe PDF version (1406679 Bytes).\nGo Back\nto the reprint server.\nGo Back\nto the home page.\nThis page is maintained by\nKyoko Makino\n. Please contact her if there are any problems with it."
}