lorenz attractors
Recently Published Documents


TOTAL DOCUMENTS

39
(FIVE YEARS 2)

H-INDEX

12
(FIVE YEARS 0)

Nonlinearity ◽  
2021 ◽  
Vol 34 (6) ◽  
pp. 4315-4331
Author(s):  
Christian Bonatti ◽  
Tali Pinsky

2020 ◽  
Vol 5 (2) ◽  
pp. 293-306
Author(s):  
M.I. Malkin ◽  
K.A. Safonov

AbstractWe study behavior of the topological entropy as the function of parameters for two-parameter family of symmetric Lorenz maps Tc,ɛ(x) = (−1 + c|x|1−ɛ) · sgn(x). This is the normal form for splitting the homoclinic loop in systems which have a saddle equilibrium with one-dimensional unstable manifold and zero saddle value. Due to L.P. Shilnikov results, such a bifurcation corresponds to the birth of Lorenz attractor (when the saddle value becomes positive). We indicate those regions in the bifurcation plane where the topological entropy depends monotonically on the parameter c, as well as those for which the monotonicity does not take place. Also, we indicate the corresponding bifurcations for the Lorenz attractors.


2020 ◽  
Vol 21 (10) ◽  
pp. 3253-3283 ◽  
Author(s):  
Marcus Morro ◽  
Roberto Sant’Anna ◽  
Paulo Varandas

2018 ◽  
Vol 57 (2) ◽  
pp. 269-292
Author(s):  
Carlos Gustavo T. Moreira ◽  
Maria José Pacifico ◽  
Sergio Romaña Ibarra

2018 ◽  
Vol 40 (1) ◽  
pp. 142-174 ◽  
Author(s):  
DMITRY DOLGOPYAT ◽  
PÉTER NÁNDORI

We formulate abstract conditions under which a suspension flow satisfies the local central limit theorem. We check the validity of these conditions for several systems including reward renewal processes, Axiom A flows, as well as the systems admitting Young’s tower, such as Sinai’s billiard with finite horizon, suspensions over Pomeau–Manneville maps, and geometric Lorenz attractors.


2018 ◽  
Vol 39 (12) ◽  
pp. 3169-3184 ◽  
Author(s):  
WAEL BAHSOUN ◽  
MARKS RUZIBOEV

We prove statistical stability for a family of Lorenz attractors with a $C^{1+\unicode[STIX]{x1D6FC}}$ stable foliation.


2018 ◽  
Vol 20 (2) ◽  
pp. 023048 ◽  
Author(s):  
M A Hernández-Acosta ◽  
M Trejo-Valdez ◽  
J H Castro-Chacón ◽  
C R Torres-San Miguel ◽  
H Martínez-Gutiérrez ◽  
...  
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document