On bifurcations of Lorenz attractors in the Lyubimov–Zaks model

2021 ◽  
Vol 31 (9) ◽  
pp. 093118
Author(s):  
Alexey Kazakov
Keyword(s):  
Lorenz Attractors

scholarly journals Hausdorff Dimension, Lagrange and Markov Dynamical Spectra for Geometric Lorenz Attractors

2018 ◽  
Vol 57 (2) ◽  
pp. 269-292
Author(s):  
Carlos Gustavo T. Moreira ◽  
Maria José Pacifico ◽  
Sergio Romaña Ibarra
Keyword(s):  
Hausdorff Dimension ◽  
Dynamical Spectra ◽  
Lorenz Attractors

scholarly journals On the statistical stability of Lorenz attractors with a stable foliation

2018 ◽  
Vol 39 (12) ◽  
pp. 3169-3184 ◽  
Author(s):  
WAEL BAHSOUN ◽  
MARKS RUZIBOEV
Keyword(s):  
Stable Foliation ◽  
Statistical Stability ◽  
Lorenz Attractors

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

Lorenz attractors in unfoldings of homoclinic-flip bifurcations

2010 ◽  
Vol 26 (1) ◽  
pp. 61-76 ◽  
Author(s):  
A. Golmakani ◽  
A.J. Homburg
Keyword(s):  
Lorenz Attractors

A degenerate singularity generating geometric Lorenz attractors

1995 ◽  
Vol 15 (5) ◽  
pp. 833-856 ◽  
Author(s):  
Freddy Dumortier ◽  
Hiroshi Kokubu ◽  
Hiroe Oka
Keyword(s):  
Vector Field ◽  
Normal Form ◽  
Vector Fields ◽  
Lorenz Attractor ◽  
Degenerate Singularity ◽  
Field Singularity ◽  
Lorenz Attractors ◽  
Geometric Lorenz Attractor

AbstractA degenerate vector field singularity in R3 can generate a geometric Lorenz attractor in an arbitrarily small unfolding of it. This enables us to detect Lorenz-like chaos in some families of vector fields, merely by performing normal form calculations of order 3.

scholarly journals Statistical stability of geometric Lorenz attractors

2014 ◽  
Vol 224 (3) ◽  
pp. 219-231 ◽  
Author(s):  
José F. Alves ◽  
Mohammad Soufi
Keyword(s):  
Statistical Stability ◽  
Lorenz Attractors

scholarly journals Ergodic Optimization for Hyperbolic Flows and Lorenz Attractors

2020 ◽  
Vol 21 (10) ◽  
pp. 3253-3283 ◽  
Author(s):  
Marcus Morro ◽  
Roberto Sant’Anna ◽  
Paulo Varandas
Keyword(s):  
Ergodic Optimization ◽  
Hyperbolic Flows ◽  
Lorenz Attractors

Neural reconstruction of Lorenz attractors by an observable

2002 ◽  
Vol 14 (1) ◽  
pp. 81-86 ◽  
Author(s):  
B. Cannas ◽  
S. Cincotti
Keyword(s):  
Lorenz Attractors

Expanding Lorenz Attractors through Resonant Double Homoclinic Loops

2005 ◽  
Vol 36 (6) ◽  
pp. 1836-1861 ◽  
Author(s):  
C. A. Morales ◽  
M. J. Pacifico ◽  
B. San Martin
Keyword(s):  
Lorenz Attractors
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