Recurrence is a fundamental property of dynamical systems, which can be exploited to characterise the system’s behaviour in phase space.A powerful tool for their visualisation and analysis called recurrence plotwas introduced in the late 1980’s. This report is a comprehensive overview covering recurrence based methods and their applications with an emphasis on recent developments. After a brief...

It is sometimes difficult to differentiate between innocent murmurs and pathological murmurs during auscultation. In these difficult cases, an intelligent stethoscope with decision support abilities would be of great value. In this study, using a dog model, phonocardiographic recordings were obtained from 27 boxer dogs with various degrees of aortic stenosis (AS) severity. As a reference for se...

Takao Komatsu (Hirosaki Univ.) Four term leaping recurrence relations Elsner and Komatsu investigated linear three-term recurrence formulae Zn = T (n)Zn−1+U(n)Zn−2 (n ≥ 2) with sequences of integers {T (n)}n≥0 and {U(n)}n≥0, which are ultimately periodic modulo m. If U(n) 6= 0 for all n ≥ 0, then there exists a three-term leaping recurrence relation of the form W1Zrn+i+W2Zr(n−1)+i+ W3Zr(n−2)+i ...

Does a concurrent cognitive task affect the dynamics of bimanual rhythmic coordination? In-phase coordination was performed under manipulations of phase detuning and movement frequency and either singly or in combination with an arithmetic task. Predicted direction-specific shifts in stable relative phase from 0° due to detuning and movement frequency were amplified by the cognitive task. Nonli...

The epilepsy surgery database from 1984 to 2012 at the National Institutes of Health (NIH) was reviewed to determine the association of postoperative electroencephalography (EEG) with seizure recurrence. Eighty-three patients were analyzed, with 41 having at least 5 years of follow-up. The relationship between epileptiform postoperative EEG findings and seizure recurrence at 1, 2, and 5 years w...

In this work the techniques of chaotic time series analysis are applied to music. The audio stream from musical recordings are treated as representing experimental data from a dynamical system. Several performance of well-known classical pieces are analysed using recurrence analysis, stationarity measures, information metrics, and other time series based approaches. The benefits of such analysi...

When people communicate, they coordinate a wide range of linguistic and non-linguistic behaviors. This process of coordination is called alignment, and it is assumed to be fundamental to successful communication. In this paper, we question this assumption and investigate whether disalignment is a more successful strategy in some cases. More specifically, we hypothesize that alignment correlates...

Background: Many investigations based on nonlinear methods have been carried out for the research of seizure detection. However, some of these nonlinear measures cannot achieve satisfying performance without considering the basic rhythms of epileptic EEGs. New method: To overcome the defects, this paper proposed a framework on wavelet-based nonlinear features and extreme learning machine (ELM) ...

Recent studies on referring expressions usually resort to quantitative methods such as recurrence analysis to measure the degree of coordination among eye gaze patterns of interlocutors. Such methods are successful in providing an overall picture of the degree of coupling among partners and how the degree of coupling varies in response to contextual factors such as the degree of shared beliefs ...

Recurrence analysis is introduced as a means to investigate syntactic coordination between child and caregiver. Three CHILDES (MacWhinney, 2000) corpora are analyzed and demonstrate coordination between children and their caregivers in terms of word-class n-gram sequences. Results further indicate that trade-offs in leading or following this coordination reflect individual differences between c...