Research output: Contribution to journal › Article
Shadowing near nonhyperbolic fixed points. / Petrov, A.A.; Pilyugin, S.Yu.
In: Discrete and Continuous Dynamical Systems, Vol. 34, No. 9, 2014, p. 3761-3772.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Shadowing near nonhyperbolic fixed points
AU - Petrov, A.A.
AU - Pilyugin, S.Yu.
PY - 2014
Y1 - 2014
N2 - We use Lyapunov type functions to find conditions of finite shadowing in a neighborhood of a nonhyperbolic fixed point of a one-dimensional or two-dimensional homeomorphism or diffeomorphism. A new concept of shadowing in which we control the size of one-step errors is introduced in the case of a nonisolated fixed point.
AB - We use Lyapunov type functions to find conditions of finite shadowing in a neighborhood of a nonhyperbolic fixed point of a one-dimensional or two-dimensional homeomorphism or diffeomorphism. A new concept of shadowing in which we control the size of one-step errors is introduced in the case of a nonisolated fixed point.
KW - Dynamical system
KW - shadowing
KW - fixed point
KW - Lyapunov function
U2 - 10.3934/dcds.2014.34.3761
DO - 10.3934/dcds.2014.34.3761
M3 - Article
VL - 34
SP - 3761
EP - 3772
JO - Discrete and Continuous Dynamical Systems
JF - Discrete and Continuous Dynamical Systems
SN - 1078-0947
IS - 9
ER -
ID: 7030138