15 papers
Symmetry and the Form of Nonlinear Behavioral Models: A Tutorial for Microwave Engineers
Nicholas B. Tufillaro
Behavioral models of nonlinear microwave devices -- the Cardiff model, X-parameters, the higher-order describing functions of the mechanical-systems literature -- all share a funct…
Memory in Behavioral Models as Motion on a Slow Invariant Manifold
Nicholas B. Tufillaro
A single-tone large-signal operating point of a nonlinear two-port is a periodic orbit of a periodically forced circuit. When the device has memory, the Floquet exponents of that o…
Time Invariance, Circle Symmetry, and the Completeness of the Cardiff Behavioral Model
Nicholas B. Tufillaro
Frequency-domain behavioral models of nonlinear microwave devices (the Cardiff model, X-parameters, higher-order sinusoidal describing functions, and the baseband models of power-a…
Constructing transportable behavioural models for nonlinear electronic devices
David M. Walker, R. Brown, N. B. Tufillaro
We use radial basis functions to model the input--output response of an electronic device. A new methodology for producing models that accuratly describe the response of the device…
Periodic orbits of the integrable Swinging Atwood's Machine
Nicholas B. Tufillaro
Solutions in terms of Elliptic Functions are provided for SAM in the integrable case where the mass ration equals three. My last SAM paper (I promise). To appear in The American Jo…
Topological time series analysis of a string experiment and its synchronized model
Nicholas B. Tufillaro
Template and prunning front are calculated for an experimental chaotic time series from a mechanical string experiment. An empirical synchronized model is also created for the data…