Boundary Hopf bifurcations in 3D Filippov systems reduce to a two-parameter piecewise-linear map family with possible chaotic attractors, supported by explicit parameter formulas and numerical characterization.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.DS 3verdicts
UNVERDICTED 3representative citing papers
Constructs a trapping region and invariant expanding cone to prove robust chaos and characterize the attractor in the border-collision normal form for the 1998 Banerjee-Yorke-Grebogi parameter regime.
Conditions are obtained for continuity of chaotic attractors in piecewise-smooth maps, strengthening the notion of robust chaos beyond what holds for smooth unimodal maps.
citing papers explorer
-
Boundary Hopf bifurcations in three-dimensional Filippov systems
Boundary Hopf bifurcations in 3D Filippov systems reduce to a two-parameter piecewise-linear map family with possible chaotic attractors, supported by explicit parameter formulas and numerical characterization.
-
Constructing robust chaos: invariant manifolds and expanding cones
Constructs a trapping region and invariant expanding cone to prove robust chaos and characterize the attractor in the border-collision normal form for the 1998 Banerjee-Yorke-Grebogi parameter regime.
-
Robust Chaos and the Continuity of Attractors
Conditions are obtained for continuity of chaotic attractors in piecewise-smooth maps, strengthening the notion of robust chaos beyond what holds for smooth unimodal maps.