1,721,025 research outputs found
PWL approximation of nonlinear dynamical systems, Part--II: identification issues
No full textThis paper and its companion address the problem of the approximation/identification of nonlinear dynamical systems depending on parameters, with a view to their circuit implementation. The proposed method is based on a piecewise-linear approximation technique. In particular, this paper describes a black-box identification method based on state space reconstruction and PWL approximation, and applies it to some particularly significant dynamical systems (two topological normal forms and the Colpitts oscillator)
PWL approximation of nonlinear dynamical systems, Part--I: structural stability
No full textThis paper and its companion address the problem of the approximation/identification of nonlinear dynamical systems depending on parameters, with a view to their circuit implementation. The proposed method is based on a piecewise-linear approximation technique. In particular, this paper describes the approximation method and applies it to some particularly significant dynamical systems (topological normal forms). The structural stability of the PWL approximations of such systems is investigated through a bifurcation analysis (via continuation methods)
Piecewise-linear identification of nonlinear dynamical systems in view of their circuit implementations
No full textWe address here an aspect of the problem concerning circuit implementations of nonlinear dynamical systems that depend on control parameters. In particular, the problem of the identification of such systems is addressed in two steps. The first step uses the state-space reconstruction (through time delay reconstruction associated with principal component analysis) on the basis of scalar time series measured in the systems to be identified. The second step deals with the approximation of the flow in the reconstructed space (through a piecewise-linear approximation technique). The proposed method is first validated with two examples concerning known systems and then applied successfully to two realistic cases
On the complexity of periodic and non-periodic behaviors of a hysteresis-based electronic oscillator
No full textOn the problem of estimating connectivity from spike recordings in large neuron networks
No full textOn the problem of estimating connectivity from spike recordings in large neuron networks
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