Robust dangerous border-collision bifurcations in piecewise smooth systems.

@article{Hassouneh2004RobustDB,
  title={Robust dangerous border-collision bifurcations in piecewise smooth systems.},
  author={Munther A. Hassouneh and Eyad H. Abed and Helena E. Nusse},
  journal={Physical review letters},
  year={2004},
  volume={92 7},
  pages={070201}
}
Physical and computer experiments involving systems describable by piecewise smooth continuous maps that are nondifferentiable on some surface in phase space exhibit novel types of bifurcations in which an attracting fixed point exists before and after the bifurcation. The striking feature of these bifurcations is that they typically lead to "unbounded behavior" of orbits as a system parameter is slowly varied through its bifurcation value. This new type of border-collision bifurcation is… CONTINUE READING

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