Martin C. Gutzwiller
Physica D: Nonlinear Phenomena
When a map has one positive Lyapunov exponent, its attractors often look like multidimensional, Cantorial plates of spaghetti. What saves the situation is that there is a deterministic jumping from strand to strand. We propose to approximate such attractors as finite sets of K suitably prescribed curves, each parametrized by an interval. The action of the map on each attractor is then approximated by a map that takes a set of curves into itself, and we graph it on a KxK checkerboard as a discontinuous one-dimensional map that captures the quantitative dynamics of the original system when K is sufficiently large. © 1995 American Institute of Physics.
Martin C. Gutzwiller
Physica D: Nonlinear Phenomena
W.F. Cody, H.M. Gladney, et al.
SPIE Medical Imaging 1994
Shu Tezuka
WSC 1991
Jaione Tirapu Azpiroz, Alan E. Rosenbluth, et al.
SPIE Photomask Technology + EUV Lithography 2009