Complex network approaches to nonlinear time series analysis
In the last decade, there has been a growing body of literature addressing the utilization of
complex network methods for the characterization of dynamical systems based on time …
complex network methods for the characterization of dynamical systems based on time …
Recurrence-based time series analysis by means of complex network methods
Complex networks are an important paradigm of modern complex systems sciences which
allows quantitatively assessing the structural properties of systems composed of different …
allows quantitatively assessing the structural properties of systems composed of different …
Recurrence networks—a novel paradigm for nonlinear time series analysis
This paper presents a new approach for analysing the structural properties of time series
from complex systems. Starting from the concept of recurrences in phase space, the …
from complex systems. Starting from the concept of recurrences in phase space, the …
Comparing the performance of FA, DFA and DMA using different synthetic long-range correlated time series
Notwithstanding the significant efforts to develop estimators of long-range correlations (LRC)
and to compare their performance, no clear consensus exists on what is the best method …
and to compare their performance, no clear consensus exists on what is the best method …
Visibility graph for time series prediction and image classification: a review
The analysis of time series and images is significant across different fields due to their
widespread applications. In the past few decades, many approaches have been developed …
widespread applications. In the past few decades, many approaches have been developed …
Combustion noise is scale-free: transition from scale-free to order at the onset of thermoacoustic instability
We investigate the scale invariance of combustion noise generated from turbulent reacting
flows in a confined environment using complex networks. The time series data of unsteady …
flows in a confined environment using complex networks. The time series data of unsteady …
Visibility graph similarity: A new measure of generalized synchronization in coupled dynamic systems
Synchronization is defined as interdependencies among coupled dynamic systems. In most
coupled systems the intrinsic and internal variants, and the interdependencies among their …
coupled systems the intrinsic and internal variants, and the interdependencies among their …
Unified functional network and nonlinear time series analysis for complex systems science: The pyunicorn package
We introduce the pyunicorn (Pythonic unified complex network and recurrence analysis
toolbox) open source software package for applying and combining modern methods of data …
toolbox) open source software package for applying and combining modern methods of data …
The geometry of chaotic dynamics—a complex network perspective
Recently, several complex network approaches to time series analysis have been
developed and applied to study a wide range of model systems as well as real-world data …
developed and applied to study a wide range of model systems as well as real-world data …
Statistical properties of visibility graph of energy dissipation rates in three-dimensional fully developed turbulence
We study the statistical properties of complex networks constructed from time series of
energy dissipation rates in three-dimensional fully developed turbulence using the visibility …
energy dissipation rates in three-dimensional fully developed turbulence using the visibility …