Math. Model. Nat. Phenom.
Volume 8, Number 5, 2013Bifurcations
|Page(s)||48 - 70|
|Published online||17 September 2013|
Examples of Lorenz-like Attractors in Hénon-like Maps
Research Institute of Applied Mathematics and
Cybernetics, 10, Ulyanova
2 Imperial College, SW7 2 AZ London, UK
⋆ Corresponding author. E-mail: firstname.lastname@example.org
We display a gallery of Lorenz-like attractors that emerge in a class of three-dimensional maps. We review the theory of Lorenz-like attractors for diffeomorphisms (as opposed to flows), define various types of such attractors, and find sufficient conditions for three-dimensional Henon-like maps to possess pseudohyperbolic Lorenz-like attractors. The numerically obtained scenarios of the creation and destruction of these attractors are also presented.
Mathematics Subject Classification: 34D45 / 37C70 / 37D45
Key words: Strange attractor / three-dimensional maps / pseudohyperbolicity / volume hyperbolicity / bifurcations / homoclinic orbit / homoclinic tangency / wild set / normal form
© EDP Sciences, 2013
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.