2 papers
nlin.CD2024
Robust chaos in
Indranil Ghosh, David J. W. Simpson
We treat -dimensional piecewise-linear continuous maps with two pieces, each of which has exactly one unstable direction, and identify an explicit set of sufficient conditions f…
nlin.CD2024
The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps
Indranil Ghosh, Robert I. McLachlan, David J. W. Simpson
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 attracto…