An attracting periodic, quasiperiodic or chaotic set of a smooth, autonomous system may be referred to as a “hidden attractor” if its basin of attraction does not overlap with the neighborhood of an unstable equilibrium point. Historically, this condition has implied that the basin of...

We introduce and study coupled map lattices with complex state variable. The dynamical regimes of the finite-length systems are classified naturally in terms of a topological invariant – the overall phase shift accumulated along the whole length at fixed time. A stability analysis of the...