Preprints der Arbeitsgruppe "Dimensionsabschätzung" und des Workshops "Dimension of attractors" im DFG-Schwerpunktprogramm "Dynamik: Analysis, effiziente Simulation und Ergodentheorie"


  • A. Mirle, Hausdorff dimension estimates for invariant sets of k-1-maps dvi, Preprint 25/95
  • V. A. Boichenko, G. A. Leonov, A. Franz, V. Reitmann, Hausdorff and fractal dimension estimates of invariant sets noninjective sets dvi, Preprint 64/96
  • A. Franz, Hausdorff dimension estimates for invariant sets with an equivariant tangent bundle splitting dvi, Preprint 38/97
  • A. Franz, Lower Hausdorff dimension estimates for k-1-endomorphisms dvi, Preprint 49/97
  • V. Reitmann, U. Schnabel, Hausdorff dimension estimates for invariant sets of piecewise smooth maps dvi, Preprint 50/97
  • K. Gelfert, G. A. Leonov, V. Reitmann, Hausdorff dimension estimates by use of a tubular Caratheodory Structure dvi, Preprint 31/98
  • W. Heinecken, V. Reitmann, Fractal dimension estimates for flow-invariant sets on manifolds dvi, Preprint 59/98
  • A. Franz, Hausdorff dimension estimates for non-injective maps using the cardinality of preimages sets dvi, Preprint 64/98
  • K. Gelfert, Estimates of the box dimension of map-invariant compact sets on Riemannian manifolds dvi, Preprint 3/2000
  • T. Okon, Embedding strategies for flow-invariant compacta on manifolds dvi, Preprint 8/2000
  • J. Neunhäuserer, Dimensional theoretical properties of affine dynamical systems dvi, Preprint 5/2000
  • V. Reitmann, Dimension Estimates and the Spanning Surface Principle on Manifolds Preprint 10/2000
  • N.V. Kondrat'eva, G.A. Leonov, F.F. Rodyukov, A.I. Shepeljavyi, Comparison of Lorenz system and differential equations of induction motors dvi, Preprint 7/2000
  • G.A.Leonov, E.A.Strigun, Localization of Li\'enard equation's attractors and cycles dvi, Preprint 6/2000
  • G.A.Leonov, V.B.Smirnova, Stability of distributed pendulum-like systems. Geotropic circumnutations of helianthus annus dvi, Preprint 9/2000
  • G.A.Leonov, S.A. Ljashko, Surprising property of Lyapunov dimension for invariant sets of dynamical systems dvi, Preprint 4/2000
  • G.A.Leonov, On asymptotic behaviour of solution of Lorenz system dvi, Preprint 2/2000