RT journal article
T1 Chaotic finite difference operators
A1 Murillo Arcila, Marina
A1 Peris, Alfred
A1 Vargas, Alvaro
A2 Matemáticas
K1 Devaney chaos
K1 numerical methods
K1 C0-semigroups
K1 Toeplitz operators
K1 Herzog spaces
AB In this article we analyze the chaotic behaviour of finite difference operators associated to certain differential equations. Our examples range from numerical schemes for a birth-and-death model with proliferation to a class of second-order partial differential equations that includes the hyperbolic heat transfer equation, the telegraph equation and the wave equation. We provide sufficient conditions on the spatial and time steps of the scheme that guarantee chaos for the corresponding operators, and we compare them with the conditions needed to ensure chaotic analytical solutions.
PB AIP
SN 1089-7682
YR 2023
FD 2023
LK http://hdl.handle.net/10498/35322
UL http://hdl.handle.net/10498/35322
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026