Dynamical trajectories and curvature trajectories

Trajectories 449 Dynamical Trajectories and Curvature Trajectories

Certifying Trajectories of Dynamical Systems

Dynamical trajectories in category learning.

Category learning has traditionally been studied by examining how percentage correct changes with experience (i.e., in the form of learning curves). An alternative and more powerful approach is to examine dynamical learning trajectories--that is, to examine how the parameters that describe the current state of the model change with experience. We describe results from a new experimental paradig...

Dynamical Trajectories in a Resisting Medium.

This is not an arbitrary differential equation of the third order. We have given a completely characteristic set of five geometric properties of the dynamical trajectories in the Princeton Colloquium. The dynamical trajectories are projectively invariant, and recently Terracini has transformed each of the five properties into purely projective language.3 2. In the subsequent discussion, we shal...

Complex trajectories in chaotic dynamical tunneling.

We develop the semiclassical method of complex trajectories in application to chaotic dynamical tunneling. First, we suggest a systematic numerical technique for obtaining complex tunneling trajectories by the gradual deformation of the classical ones. This provides a natural classification of the tunneling solutions. Second, we present a heuristic procedure for sorting out the least suppressed...