Results 31 to 40 of about 339,262 (287)

On the proper reconstruction of complex dynamical systems spoilt by strong measurement noise

, 2006
This article reports on a new approach to properly analyze time series of dynamical systems which are spoilt by the simultaneous presence of dynamical noise and measurement noise.
C. Renner, David Kleinhans, Frank Böttcher, H. Kantz, H. Risken, Joachim Peinke, Maria Haase, P. E. Kloeden, Pedro G. Lind, Rudolf Friedrich   +9 more
core   +1 more source

A novel time-frequency multilayer network for multivariate time series analysis

New Journal of Physics, 2018
Unveiling complex dynamics of natural systems from a multivariate time series represents a research hotspot in a broad variety of areas. We develop a novel multilayer network analysis framework, i.e.
Weidong Dang, Zhongke Gao, Dongmei Lv, Mingxu Liu, Qing Cai, Xiaolin Hong   +5 more
doaj   +1 more source

Identifying Chaotic FitzHugh–Nagumo Neurons Using Compressive Sensing

Entropy, 2014
We develop a completely data-driven approach to reconstructing coupled neuronal networks that contain a small subset of chaotic neurons. Such chaotic elements can be the result of parameter shift in their individual dynamical systems and may lead to ...
Ri-Qi Su, Ying-Cheng Lai, Xiao Wang
doaj   +1 more source

Nonlinear dynamics of giant resonances in atomic nuclei [PDF]

, 1998
The dynamics of monopole giant resonances in nuclei is analyzed in the time-dependent relativistic mean-field model. The phase spaces of isoscalar and isovector collective oscillations are reconstructed from the time-series of dynamical variables that ...
A.M. Fraser, B. Podobnik, B.D. Serot, B.D. Serot, D. Vretenar, D. Vretenar, D. Vretenar, D. Vretenar, G. A. Lalazissis, H.D.I. Abarbanel, M.B. Kennel, N. Paar, P. Grassberger, P. Ring, P. Ring, P. Ring, V. Zelevinsky   +16 more
core   +4 more sources

Methods for removal of unwanted signals from gravity time-series: Comparison using linear techniques complemented with analysis of system dynamics [PDF]

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2017
The presence of undesirable dominating signals in geophysical experimental data is a challenge in many subfields. One remarkable example is surface gravimetry, where frequencies from Earth tides correspond to time-series fluctuations up to a thousand times larger than the phenomena of major interest, such as hydrological gravity effects or co-seismic ...
Arthur Valencio, Celso Grebogi, Murilo S. Baptista   +2 more
openaire   +4 more sources

Recurrence-based time series analysis by means of complex network methods

, 2010
Complex networks are an important paradigm of modern complex systems sciences which allows quantitatively assessing the structural properties of systems composed of different interacting entities.
Csárdi G., Gao Z.-Y., Horai S., JONATHAN F. DONGES, JÜRGEN KURTHS, MICHAEL SMALL, Mudelsee M., NORBERT MARWAN, Poincaré H., REIK V. DONNER, RUOXI XIANG, Thiel M., YONG ZOU   +12 more
core   +1 more source

Measuring dynamical phase transitions in time series

Physical Review Research
There is a growing interest in methods for detecting and interpreting changes in experimental time-evolution data. Based on measured time series, the quantitative characterization of dynamical phase transitions at bifurcation points of the underlying ...
Bulcsú Sándor, András Rusu, Károly Dénes, Mária Ercsey-Ravasz, Zsolt I. Lázár   +4 more
doaj   +1 more source

Evidence of self-organized criticality in time series by the horizontal visibility graph approach

Scientific Reports, 2022
Determination of self-organized criticality (SOC) is crucial in evaluating the dynamical behavior of a time series. Here, we apply the complex network approach to assess the SOC characteristics in synthesis and real-world data sets.
Bardia Kaki, Nastaran Farhang, Hossein Safari   +2 more
doaj   +1 more source

Computational Topology Techniques for Characterizing Time-Series Data

, 2018
Topological data analysis (TDA), while abstract, allows a characterization of time-series data obtained from nonlinear and complex dynamical systems. Though it is surprising that such an abstract measure of structure - counting pieces and holes - could ...
A Fraser, E Bradley, H Edelsbrunner, H Edelsbrunner, J Garland, J Munkres, K Xia, M Muldoon, MB Kennel, P Cvitanovic, R Ghrist, T Dasu, T Kaczynski, V Robins, V Robins, V Robins, V Silva de, Z Alexander   +17 more
core   +1 more source

Numerical and experimental study of the effects of noise on the permutation entropy [PDF]

, 2015
We analyze the effects of noise on the permutation entropy of dynamical systems. We take as numerical examples the logistic map and the R\"ossler system.
Masoller, Cristina, Pigolotti, Simone, Quintero-Quiroz, C., Torrent, M. C.   +3 more
core   +3 more sources