A variant of nonlinear blind source separation, the Nonlinear Dynamic Factor Analysis (NDFA) model, is based on noisy nonlinear mixtures of state variables, which are controlled by nonlinear system dynamics. The problem setting is blind because both the state variables, the nonlinear mixing model, and the nonlinear dynamics are unknown. As a special problem we consider the ability of NDFA to de...

Two elastically coupled nanomechanical resonators driven independently near their resonance frequencies show intricate nonlinear dynamics. The dynamics provide a scheme for realizing a nanomechanical system with tunable frequency and nonlinear properties. For large vibration amplitudes, the system develops spontaneous oscillations of amplitude modulation that also show period-doubling transitio...

We consider adaptive control problems in the presence of nonlinear parametrization of model uncertainties. An approach that foregoes on the need for domination in the control loop during adaptation is proposed. Our approach is based on the notions of attractivity, limit sets, equilibria, and multistability from the theory of nonlinear dynamical systems rather than on the conventional method of ...

It is is explained why physical consistency requires substituting linear observables by nonlinear ones for quantum systems with nonlinear time evolution of pure states. The exact meaning and the concrete physical interpretation are described in full detail for a special case of the nonlinear Doebner-Goldin equation. 1 Schrödinger dynamics By Schrödinger dynamics we mean a strongly continuous tw...

A nonlinear flight dynamics model that can be adopted by small-scale unmanned aerial vehicle (UAV) helicopters is presented. To minimize structural complexity, the proposed nonlinear model contains only four essential components, i.e., kinematics, rigid-body dynamics, main rotor flapping dynamics, and yaw rate feedback controller dynamics. A five-step parameter determination procedure is propos...