# Complex network approach for recurrence analysis of time series

@article{Marwan2009ComplexNA, title={Complex network approach for recurrence analysis of time series}, author={Norbert Marwan and Jonathan F. Donges and Yong Zou and Reik V. Donner and J{\"u}rgen Kurths}, journal={Physics Letters A}, year={2009}, volume={373}, pages={4246-4254} }

## 471 Citations

### Recurrence-based evolving networks for time series analysis of complex systems

- Computer Science, Mathematics
- 2010

A novel approach for analyzing the structural properties of time series from realworld complex systems by means of evolving complex networks, where the recurrence matrices corresponding to different parts of a time series are re-interpreted as the adjacency matrices of complex networks.

### Finding recurrence networks' threshold adaptively for a specific time series

- Computer Science
- 2014

A comparison between the constant threshold and adaptive threshold cases is shown to study period–chaos and even period–period transitions in the dynamics of a prototypical model system.

### Multiplex recurrence networks.

- MathematicsPhysical review. E
- 2018

The method goes beyond classical interpretation of pollen records by considering the vegetation as a whole and using the intrinsic similarity in the dynamics of the different regional vegetation elements to find that the different vegetation types behave more similarly when one environmental factor acts as the dominant driving force.

### Recurrence network approach to a phase space of a time-delay system

- Computer Science
- 2010

Preliminary results are presented by applying the analogy between the recurrence matrix and the adjacency matrix of a complex network to characterize and analyze the dynamical transitions in the phase space of complex systems.

### Recurrence networks—a novel paradigm for nonlinear time series analysis

- Computer Science
- 2010

It has been demonstrated here that there are fundamental relationships between many topological properties of recurrence networks and different nontrivial statistical properties of the phase space density of the underlying dynamical system.

### Recent advances in bridging time series and complex networks

- Computer Science2013 IEEE International Symposium on Circuits and Systems (ISCAS2013)
- 2013

An amplitude-temporal method to fast detect arrhythmia with the indicator of the average degree of associated networks and the latest methods to feature complex networks with typical time series after multi-scaling transformation are reported.

### Analytical framework for recurrence network analysis of time series.

- Mathematics, Computer SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2012

Theoretical framework for a number of archetypical chaotic attractors such as those of the Bernoulli and logistic maps, periodic and two-dimensional quasiperiodic motions, and for hyperballs and hypercubes are illustrated.

### Complex network based techniques to identify extreme events and (sudden) transitions in spatio-temporal systems.

- Computer ScienceChaos
- 2015

The new measure of network divergence is presented and how it can be used to develop a prediction scheme of extreme rainfall events and is shown to be very efficient for identifying qualitative transitions in observational data, e.g., when analyzing paleoclimate regime transitions.

### Multiscale characterization of recurrence-based phase space networks constructed from time series.

- Computer ScienceChaos
- 2012

This paper systematically investigates the recurrence-based phase space network of order k that has previously been used to specify different types of dynamics in terms of the motif ranking from a different perspective and finds that the network size scales with different scale exponents and the degree distribution follows a quasi-symmetric bell shape around the value of 2k.

### Detection of coupling directions with intersystem recurrence networks

- Computer Science
- 2014

A novel concept for inferring coupling directions between dynamical systems based on geometric properties in phase space reconstructed from time series is described and applied and investigated by investigating the coupling between parts of the Asian monsoon system as seen from a palaeo-climate perspective.

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