Trajectory based methods approximate nonlinear dynamical systems by superposition of dimensionally reduced linear systems. The linear systems are obtained by linearisations at multiple points along a state-trajectory. They are combined in a weighted sum and the combinations are switched...

In this paper it is shown that a nonlinear system with an isolated equilibrium can be identified using two kinds of Dynamic Neural Networks, the Hopfield type (DNN-H) and the Multilayer type (DNN-M). The identified models are in continuous time. The equilibrium point is assumed to be the origin,...

Two types of models can be used to describe nonlinear agricultural systems: mechanistic and empirical. For the first type of models, mathematical methods for simulating, a set of differential equations which characterise the underpinning process relationships are outlined. For the second type of...

This paper deals with the effects of stochastic resonance in some sorts of nonlinear dynamic systems on multi-frequency signal processing in the presence of white or colored noise. By means of tuning system parameters and changing the nonlinear systems, the ability of the systems driven by noise...

We consider the problem of control for continuous time stochastic hybrid systems in finite time horizon. The systems considered are nonlinear: the state evolution is a nonlinear function of both the control and the state. The control parameters change at discrete times according to an underlying...

The article demonstrates the usefulness of concepts and methods from systems theories for Organisational Behaviour (OB). Diagnosing development areas in OB, especially the analysis of whole systems and the degree of operationalisation and formalisation of core constructs and assumptions, the...

Based on predictions of stock-prices using genetic programming (or GP), a possibly profitable trading strategy is proposed. A metric quantifying the probability that a specific time series is GP-predictable is presented first. It is used to show that stock prices are predictable. GP then evolves...

In this work, the Evaluation transform is adapted to interpret the polylogarithms as being the Evaluation of the words yxn, for meromorphic kernels and meromorphic inputs. The functional equations on polylogarithms can be obtained, then, via combinatorics on words and the relations between the...