Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: gradient dynamical system

Sortuj według:

Ogranicz wyniki do:

Topological conjugacy of cascades generated by gradient flows on the two-dimensional sphere

100%

Bielecki A.

Annales Polonici Mathematici

2000

tom 73

nr 1

37-57

This article presents a theorem about the topological conjugacy of a gradient dynamical system with a constant time step and the cascade generated by its Euler method. It is shown that on the two-dimensional sphere S² the gradient dynamical flow is, under some natural assumptions, correctly reproduced by the Euler method for a sufficiently small time step. This means that the time-map of the induced dynamical system is globally topologically conjugate to the discrete dynamical system obtained via the Euler method.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Bielecki A.

1 2000

Wyniki wyszukiwania

Topological conjugacy of cascades generated by gradient flows on the two-dimensional sphere