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BIFURCATION OF THE ESSENTIAL DYNAMICS OF LORENZ MAPS ON THE REAL LINE AND THE BIFURCATION SCENARIO FOR LORENZ LIKE FLOWS: THE CONTRACTING CASE
(Universidad Católica del Norte, Departamento de Matemáticas, 2010)
Hyperbolicity of renormalization for dissipative gap mappings
(2021-01-01)
A gap mapping is a discontinuous interval mapping with two strictly increasing branches that have a gap between their ranges. They are one-dimensional dynamical systems, which arise in the study of certain higher dimensional ...
Bifurcation of the essencial dymanics of lorenz maps and applications to lorenz-like flows: contributions to the study of the expanding case
(SOCIEDADE BRASILEIRA DE MATEMATICA, 2001)
The Lamination of Infinitely Renormalizable Dissipative Gap Maps: Analyticity, Holonomies and Conjugacies
(2012-12-01)
Motivated by return maps near saddles for three-dimensional flows and also by return maps in the torus associated to Cherry flows, we study gap maps with derivative positive and smaller than one outside the discontinuity ...
The Lamination of Infinitely Renormalizable Dissipative Gap Maps: Analyticity, Holonomies and Conjugacies
(2012-12-01)
Motivated by return maps near saddles for three-dimensional flows and also by return maps in the torus associated to Cherry flows, we study gap maps with derivative positive and smaller than one outside the discontinuity ...
Symbolic dynamics of two coupled Lorenz maps: From uncoupled regime to synchronisation
(ELSEVIER, 2008-10-01)
The bounded dynamics of a system of two coupled piecewise affine and chaotic Lorenz maps is studied over the coupling range, from the uncoupled regime where the entropy is maximal, to the synchronized regime where the ...
Quantifying entropy using recurrence matrix microstates
(American Institute of Physics, 2018-08-09)
Lorenz Maps of a Simple Intermittent Model - Part 2
(Universidade Federal de Santa Maria, 2011)