Introduction: In this paper, a novel complexity measure is proposed to detect dynamical changes in nonlinear systems using ordinal pattern analysis of time series data taken from the system. Epilepsy is considered as a dynamical change in nonlinear and complex brain system. The ability of the proposed measure for characterizing the normal and epileptic EEG signals when the signal is short or is...

We present in this paper results of a nonlinear optical spectroscopy approach to measurement of excited-state transition matrix elements. Recent advances in the quality of excited-state transition matrix elements have permitted renormalization of earlier measurements of transition amplitudes associated with the 5s S1/2 → 5p Pj → 5d D3/2 two-photon transitions in atomic 87Rb. Previous measuremen...

The nonlinear behaviour of the buck converter controlled by double-edged PWM waveform is studied in this paper. The stability of the system is analyzed using the state transition matrix over one switching cycle (the monodromy matrix) including the state transition matrices during each switching (saltation matrices). Three supervising control methods are applied to extend the normal period one o...

The Linearization of Nonlinear feedback shift registers (NFSRs) is to find their state transition matrices. In this paper, we investigate the linearization multi-valued NFSRs by considering it as a logical network via a semi-tensor product approach. A new state transition matrix is found for an multi-valued NFSR, which can be simply computed from the truth table of its feedback function, and th...

0 = d dt ‖x(t)‖ = 2x(t) ẋ(t) = 2x(t)Ax(t) = x(t) (A+ A )x(t) for all x(t), which occurs if and only A+A = 0, which is the same as A = −A, i.e., A is skew-symmetric. There are many other ways to see this. For example, the norm of the state will be constant provided the velocity vector is always orthogonal to the position vector, i.e., ẋ(t)x(t) = 0. This also leads us to A + A = 0. Another approa...

Process algebras extended by a concept to present timing behaviour have been very recently proposed as a good modelling tool for the combined analysis of qualitative and quantitative system behaviour. We introduce a a process algebra including exponentially distributed time delays and a systematic approach to compute the underlying labelled transition system and continuous time Markov process. ...

Monitoring business processes during their execution is one important aspect of business process management. Process monitoring requires observed events, which are recorded in information systems, to reason about, amongst others, process progress. Especially in manual executing process environments, the observed events are most likely sparse. Therefore, we introduce an approach increasing the n...

Despite recent interest in continuous prediction of dimensional emotions, the dynamical aspect of emotions has received less attention in automated systems. This paper investigates how emotion change can be effectively incorporated to improve continuous prediction of arousal and valence from speech. Significant correlations were found between emotion ratings and their dynamics during investigat...