Robust Devaney chaos in the two-dimensional border-collision normal form
I Ghosh, DJW Simpson - Chaos: An Interdisciplinary Journal of …, 2022 - pubs.aip.org
The collection of all non-degenerate, continuous, two-piece, piecewise-linear maps on R 2
can be reduced to a four-parameter family known as the two-dimensional border-collision …
can be reduced to a four-parameter family known as the two-dimensional border-collision …
The two-dimensional border-collision normal form with a zero determinant
DJW Simpson - arXiv preprint arXiv:2408.04790, 2024 - arxiv.org
The border-collision normal form is a piecewise-linear family of continuous maps that
describe the dynamics near border-collision bifurcations. Most prior studies assume each …
describe the dynamics near border-collision bifurcations. Most prior studies assume each …
[HTML][HTML] The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps
We study two-dimensional, two-piece, piecewise-linear maps having two saddle fixed
points. Such maps reduce to a four-parameter family and are well known to have a chaotic …
points. Such maps reduce to a four-parameter family and are well known to have a chaotic …
Strange attractors for the generalized Lozi-like family
P Kucharski - arXiv preprint arXiv:2302.04641, 2023 - arxiv.org
We generalize the Lozi-like family introduced in Misiurewicz and\v {S} timac work from 2017.
The generalized Lozi-like family encompasses in particular certain Lozi-like maps …
The generalized Lozi-like family encompasses in particular certain Lozi-like maps …
[PDF][PDF] BIFURCATION STRUCTURE WITHIN ROBUST CHAOS FOR PIECEWISE-LINEAR MAPS.
I Ghosh, R McLachlan, DJW Simpson - 2023 - indrag49.github.io
Bifurcation Structure Within Robust Chaos for Piecewise-Linear Maps Page 1 Bifurcation
Structure Within Robust Chaos for Piecewise-Linear Maps Indranil Ghosh, Robert McLachlan …
Structure Within Robust Chaos for Piecewise-Linear Maps Indranil Ghosh, Robert McLachlan …