Recently physical and computer experiments involving systems describable by continuous maps that are nondifferentiable on some surface in phase space have revealed novel bifurcation phenomena. These phenomena are part of a rich new class of bifurcations which we call border-collision bifurcations. A general criterion for the occurrence of border-collision bifurcations is given. Illustrative numerical results, including transitions to chaotic attractors, are presented. These border-collision bifurcations are found in a variety of physical experiments
Switching dynamical systems are very common in many areas of physics and engineering. We consider a ...
Systems that are not smooth can undergo bifurcations that are forbidden in smooth systems. We review...
It has been shown recently that border collision bifurcation in a piecewise smooth map can lead to a...
Recently physical and computer experiments involving systems describable by continuous maps that are...
Recently physical and computer experiments involving systems describable by continuous maps that are...
Physical and computer experiments involving systems describable by piecewise smooth continuous maps ...
Physical and computer experiments involving systems describable by piecewise smooth continuous maps ...
Physical and computer experiments involving systems describable by piecewise smooth continuous maps ...
Physical and computer experiments involving systems describable by piecewise smooth continuous maps ...
We examine bifurcation phenomena for maps that are piecewise smooth and depend continuously on a par...
We examine bifurcation phenomena for maps that are piecewise smooth and depend continuously on a par...
We examine bifurcation phenomena for maps that are piecewise smooth and depend continuously on a par...
We examine bifurcation phenomena for maps that are piecewise smooth and depend continuously on a par...
We examine bifurcation phenomena for maps that are piecewise smooth and depend continuously on a par...
We examine bifurcation phenomena for maps that are piecewise smooth and depend continuously on a par...
Switching dynamical systems are very common in many areas of physics and engineering. We consider a ...
Systems that are not smooth can undergo bifurcations that are forbidden in smooth systems. We review...
It has been shown recently that border collision bifurcation in a piecewise smooth map can lead to a...
Recently physical and computer experiments involving systems describable by continuous maps that are...
Recently physical and computer experiments involving systems describable by continuous maps that are...
Physical and computer experiments involving systems describable by piecewise smooth continuous maps ...
Physical and computer experiments involving systems describable by piecewise smooth continuous maps ...
Physical and computer experiments involving systems describable by piecewise smooth continuous maps ...
Physical and computer experiments involving systems describable by piecewise smooth continuous maps ...
We examine bifurcation phenomena for maps that are piecewise smooth and depend continuously on a par...
We examine bifurcation phenomena for maps that are piecewise smooth and depend continuously on a par...
We examine bifurcation phenomena for maps that are piecewise smooth and depend continuously on a par...
We examine bifurcation phenomena for maps that are piecewise smooth and depend continuously on a par...
We examine bifurcation phenomena for maps that are piecewise smooth and depend continuously on a par...
We examine bifurcation phenomena for maps that are piecewise smooth and depend continuously on a par...
Switching dynamical systems are very common in many areas of physics and engineering. We consider a ...
Systems that are not smooth can undergo bifurcations that are forbidden in smooth systems. We review...
It has been shown recently that border collision bifurcation in a piecewise smooth map can lead to a...