Topological methods have recently been developed for the analysis of dissipative dynamical
systems that operate in the chaotic regime. They were originally developed for three …

Rotating orbits in the parametrically excited pendulum are considered. The location of
subharmonic orbits shows that there is in general no easily defined lower bound on the …

The CO 2 laser is a complex dynamical system that has been investigated extensively both
experimentally and through numerical simulations. As a result, a number of models exist for …

We present a detailed algorithm to construct symbolic encodings for chaotic attractors of
three-dimensional flows. It is based on a topological analysis of unstable periodic orbits …

We report a detailed investigation of the stability of a CO 2 laser with feedback as described
by a six-dimensional rate-equations model which provides satisfactory agreement between …

Multiple attractors in a new nonlinear dynamical system recently derived from the derivative
nonlinear Schrodinger (DNLS) equation describing the Alfven turbulence in magnetized …

We perform a topological analysis of chaotic signals from a Nd-doped fiber laser with pump
modulation at different values of the modulation frequency. In this experiment, the system …

Discriminating different types of chaos is still a very challenging topic, even for dissipative
three-dimensional systems for which the most advanced tool is the template. Nevertheless …

When a chaotic attractor is produced by a three-dimensional strongly dissipative system, its
ultimate characterization is reached when a branched manifold—a template—can be used …

Although deterministic chaos has been predicted to occur in the triply resonant optical
parametric oscillator (TROPO) 15 years ago, experimental evidence of chaotic behavior in …