Stability and attractivity in discrete dynamical systems.
It is proven that one-dimensional discrete dynamical systems do not possess attractors that are unstable. Also, a C1 two-dimensional discrete system with a global attractor that is unstable is constructed.
Martelli
M
M
Mathematics Department, California State University, Fullerton 92634, USA.
Marshall
D
D
D008962:Models, Theoretical; D017711:Nonlinear Dynamics