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pro vyhledávání: '"Edward E. Slaminka"'
Autor:
Edward E. Slaminka, Stewart Baldwin
Publikováno v:
Journal of Statistical Physics. 89:1017-1033
The attempt to find effective algorithms for calculating the topological entropy of piecewise monotone maps of the interval having more than three monotone pieces has proved to be a difficult problem. The algorithm introduced here is motivated by the
Publikováno v:
Physica D: Nonlinear Phenomena. 92:164-177
Two Duffing oscillators driven with incommensurate frequencies and coupled additively are investigated. With this system we observe a host of complex behavior which compete with each other in parameter space, in particular the period doubling of an a
Autor:
Edward E. Slaminka, Roger A. R. Butler
Publikováno v:
Journal of Computational Physics. 99:28-32
The performance of Sniffer—a new global optimization algorithm—is compared with that of Simulated Annealing. Using the number of function evaluations as a measure of efficiency, the new algorithm is shown to be significantly better at finding the
Autor:
Stewart Baldwin, Edward E. Slaminka
Publikováno v:
Proceedings of the American Mathematical Society. 109:823-828
The stable/unstable manifold theorem for hyperbolic diffeomorphisms has proven to be of extreme importance in differentiable dynamics. We prove a stable/unstable "manifold" theorem for area preserving homeomorphisms of orientable two manifolds having
Publikováno v:
CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY. 48:347-355
The concept of central configuration is important in the study of total collisions or the relative equilibrium state of a rotating system in the N-body problem. However, relatively few such configurations are known. Aided by a new global optimizer, w
Publikováno v:
Topology and its Applications. 29(3):213-217
Though fixed point free homeomorphisms of the plane would appear to exhibit the simplest dynamical behavior, we show that the minimal sets can be quite complex. Every homeomorphism which is conjugate to a translation must have a closed invariant line
Autor:
Edward E. Slaminka, Stephan Pelikan
Publikováno v:
Ergodic Theory and Dynamical Systems. 7:463-479
The study of area preserving maps of manifolds has an extensive history in the theory of dynamical systems. One interest has been in the behaviour of such maps near an isolated fixed point. In 1974 Carl Simon proved the existence of an upper bound fo
Autor:
Edward E. Slaminka
Publikováno v:
Hamiltonian dynamical systems. :153-167