When the state of the whole reaction network can be inferred by just measuring the
dynamics of a limited set of nodes the system is said to be fully observable. However, as the …

Observability is the property that enables recovering the state of a dynamical system from a
reduced number of measured variables. In high-dimensional systems, it is therefore …

In the two last decades the concept of observability has been formally linked to that of
embedding in the context of nonlinear dynamics. Such a concept has been shown to play an …

Recurrence network analysis (RNA) is a remarkable technique for the detection of
dynamical transitions in experimental applications. However, in practical experiments, often …

Inappropriate patient-ventilator interactions'(PVI) quality is associated with adverse clinical
consequences, such as patient anxiety/fear and increased need of sedative and paralytic …

Multivariate singular spectrum analysis (M-SSA) was recently adapted to study systems of
coupled oscillators. It does not require an a priori definition for phase nor detailed …

Analysing palaeoclimate proxy time series using windowed recurrence network analysis
(wRNA) has been shown to provide valuable information on past climate variability. In turn, it …

Parametric phase diffusion analysis (ΦDA), a method to determine variability of irregular
oscillations, is presented. ΦDA is formulated as an analysis technique for sequences of …

Multivariate singular spectrum analysis (M-SSA) is a useful tool to detect phase
synchronization (PS) without any a priori need for phase estimation. The discriminatory …

Studying palaeoclimate proxy data from archives such as tree rings, lake sediments,
speleothems, and ice cores using windowed recurrence network analysis offers the …