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Yesterday we organised a special session on #recurrence_plot Analysis at the 45th Benelux Meeting on Systems and Control (BMSC 2026) in Lommel, Belgium.

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GitHub - pucicu/RP_Speed_Test: Code to get the calculation speed for recurrence plots/ recurrence quantification analysis using MATLAB, R, Python, and Julia code. Code to get the calculation speed for recurrence plots/ recurrence quantification analysis using MATLAB, R, Python, and Julia code. - pucicu/RP_Speed_Test

Updated speed comparison on #recurrence_plot calculations:
github.com/pucicu/RP_Sp...
(the winner is AccRQA by Karel Adamek! pypi.org/project/accr...)

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Leveraging temporal features of the divergence quantifier of recurrence plot to detect chaos in conservative systems - The European Physical Journal Special Topics The recurrence-based divergence quantifier (DIV), traditionally applied to dissipative systems, is shown here to be an effective finite-time chaos indicator for conservative dynamics. We benchmark its...

Second paper in the special issue "Recurrence-Based Methods Across Disciplines: From Theory to Practice" published:
"Leveraging temporal features of the divergence quantifier of #recurrence_plot to detect chaos in conservative systems"
doi.org/10.1140/epjs...

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Cichon-Pupienis,A. et al. 2025, Carbonate facies evolution, bio- and... Bulletin of Geosciences, 100, 547-579. Website of the journal Bulletin of Geosciences, published since 1925 by the Czech Geological Survey

"Carbonate facies evolution, bio- and carbon isotope stratigraphy through the Ludfordian (Silurian) on the shelf of Baltica (Lithuania)" Silurian shelf deposits analyzed via cross #recurrence_plot; carbon isotope excursion identified with microbial carbonates
www.geology.cz/bulletin/con...

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Chromatic recurrences applied to joint walking time series of a blind mother–child dyad - The European Physical Journal Special Topics The navigation of urban environments by blind adults and children is a complex activity. While research on blind people’s navigation has often focused on assistive technologies, less attention has bee...

First paper of the special issue "Recurrence-Based Methods Across Disciplines: From Theory to Practice" published: "Chromatic recurrences applied to joint walking time series of a blind mother–child dyad" using a special color-encoded #recurrence_plot

doi.org/10.1140/epjs...

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Finding Repeated Structures in Time Series: Algorithms and Applications: A Unifying View of Time Series Motifs/Shapelets/Chains and Similar Primitives | Proceedings of the 31st ACM SIGKDD Conference on Knowledge Discovery and Data Mining V.2 You will be notified whenever a record that you have chosen has been cited.

Interesting summary (or even review) of methods to find recurring patterns in data: "Finding Repeated Structures in Time Series: Algorithms and Applications: A Unifying View of Time Series Motifs/Shapelets/Chains and Similar Primitives" – related to #recurrence_plot analysis
doi.org/10.1145/3711...

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We have used #recurrence_plot based methods to study the "High predictability potential of highly synchronized widespread floods in monsoon regions" – useful approach for forecasting future widespread flood events.
doi.org/10.1016/j.jh...

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Recurrence dynamics and nonlinear system analysis of choral singing - Nonlinear Dynamics This study investigates the interplay of cardiac, respiratory, and vocal activity during choral singing using recurrence quantification analysis (RQA) to capture underlying nonlinear dynamics. It was ...

Recurrence dynamics and nonlinear system analysis of choral singing: Choral singing dynamics analyzed via #recurrence_plot RQA; respiration led vocal-cardiac coupling with increased synchronization, varying by unison vs. part singing conditions
link.springer.com/article/10.1...

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Mixed-phase space of an active particle in experimental lemon billiards We experimentally investigated active particle-environment interactions in lemon billiards. To achieve this, we develop an Arduino robot to interact with the billiard table, which acts as our active p...

Amazing experiment: Lemon billiard chaos validated experimentally via Arduino robot and #recurrence_plot analysis.
"Mixed-phase space of an active particle in experimental lemon billiards"
journals.aps.org/pre/abstract...

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When using recurrence microstates from a #recurrence_plot we might wonder which kind of relationships they represent. We did a closer look in our recent study "Recurrence patterns correlation" journals.aps.org/pre/abstract...

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Should medical teachers spend more time modelling or coaching students? A dual eye‐tracking and randomised controlled study on peer instruction in sonography When first introducing new procedural skills, direct sensorimotor experience with guided support appears more beneficial than extended observation.

Procedural learning differences between modelling and coaching were noted in medical education, with JVA linked to success. Teacher-student visual synchronisation was quantified via cross #recurrence_plot analysis.
asmepublications.onlinelibrary.wiley.com/doi/10.1111/...

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Infrastructure-Free Indoor Localization for Cultural Heritage Sites Indoor positioning systems are crucial for preserving and promoting cultural heritage sites by providing visitors with accurate location information and real-time exhibit details. These systems also o...

Infrastructure-free indoor localization achieved! Accurate positioning is enabled by using #recurrence_plot to extract complex patterns from magnetic field data, allowing reliable landmark classification via deep learning.
ieeexplore.ieee.org/document/109...

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Comprehensive analysis of singing bowl vibrations: nonlinear time series, network, and spectral approaches - Indian Journal of Physics The present work investigates the vibrations of the traditional singing bowl (SB), analyzing its damped and undamped beat sounds through spectral, nonlinear time series, recurrence, and complex networ...

Singing bowl vibrations were analyzed with #recurrence_plot revealing chaotic damped dynamics vs. regular undamped patterns; beat frequencies identified for potential therapeutic applications. link.springer.com/article/10.1...

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A novel geographic origin identification method based on multi-segment recurrence plot coding and residual attention mechanism In this study, a novel geographic origin identification method is proposed, combine with multi-segment Recurrence plot coding and residual attention mechanism to enhance the performance of apple ge...

Apple geographic origin was identified with 96.9% accuracy using multi-segment near-infrared spectra converted to images via #recurrence_plot coding with CNN. www.tandfonline.com/doi/full/10....

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Investigating Complex Dynamics in Eye-Aspect-Ratio of Expert Tetris Players Using Recurrence Quantification Analysis Expert video game players exhibit unique behaviors compared to their less experienced counterparts. Such behaviours may also influence physiological aspects such as blinks and eyelid movements. In thi...

Complex eyelid dynamics in Tetris players analyzed with #recurrence_plot: expert Tetris players display more complex patterns in their eyelid behaviour.
ieeexplore.ieee.org/document/111...

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Another efficient approach proposed: RQA measures were computed directly from time series using random sampling, reducing runtime, memory usage, and energy consumption while maintaining accuracy. #recurrence_plot
link.springer.com/article/10.1...

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Dynamical systems were classified using #recurrence_plot microstate probabilities as ML features, reducing dimensions while improving accuracy and computational efficiency. link.springer.com/article/10.1...

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Line graph comparing computation time (in seconds, log scale) versus data length N (log scale) for five Recurrence Quantification Analysis (RQA) methods: RQA_RP, RQA_woRP, RQA_samp, RQA_samp², and RQA microstates. The graph shows that RQA_samp and RQA microstates consistently require the least computation time, while RQA_RP requires the most, with all methods increasing in time as data length grows.

Line graph comparing computation time (in seconds, log scale) versus data length N (log scale) for five Recurrence Quantification Analysis (RQA) methods: RQA_RP, RQA_woRP, RQA_samp, RQA_samp², and RQA microstates. The graph shows that RQA_samp and RQA microstates consistently require the least computation time, while RQA_RP requires the most, with all methods increasing in time as data length grows.

Inspired by recurrence microstates, I developed an efficient, sampling-based approach for recurrence quantification analysis, significantly reducing computation time – and, consequently, energy consumption. Published today open access. #recurrence_plot
doi.org/10.1140/epjs...

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Small sample learning classifies Parkinson’s disease patients based on their walking behavior Parkinson’s disease (PD) is a progressive neurodegenerative disorder characterized by motor and non-motor symptoms that impair gait and daily activities. In thi

Parkinson's disease was classified with ~100% accuracy using #recurrence_plot triangle patterns; specific patterns distinguished healthy from pathological gait dynamics.
doi.org/10.1063/5.02...

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Recurrence-based characterization of model shadowability in the presence of unstable dimension variability Recurrence-based characterization of model shadowability in the presence of unstable dimension variability, Fávaro, Vitor H. A., Marwan, Norbert, Kurths, Jürgen, Grebogi, Celso, Viana, Ricardo L.

New study out: We studied unstable dimension variability in kicked double rotor; recurrence properties shown robust for statistical analysis despite trajectory unpredictability #recurrence_plot Joint work with our friends from UFPR in Curitiba
doi.org/10.1209/0295...

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Advanced Lipreading by combining raw lip landmark trajectories with the #recurrence_plot approach. By fusing temporal and structural dynamics, this approach improved generalization and speaker-independent recognition, outperforming baselines using various datasets. www.mdpi.com/1099-4300/27...

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pynamicalsys: A Python toolkit for the analysis of dynamical systems Since Lorenz’s seminal work on a simplified weather model, the numerical analysis of nonlinear dynamical systems has become one of the main subjects o…

New Python package allowing #recurrence_plot analysis:
"pynamicalsys: A Python toolkit for the analysis of dynamical systems"
Paper: www.sciencedirect.com/science/arti...

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Experimental investigation on memory effects of combustion instability in a supersonic combustor The comprehension of supersonic combustion phenomena remains constrained due to a lack of comprehensive understanding of the underlying physics. To br…

#recurrence_plot analysis reveals memory effects and path-dependent bistability in scramjet combustors. Path-dependent bistability with quasi-periodic and chaotic oscillations found, highlighting the need for advanced control strategies.
www.sciencedirect.com/science/arti...

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RecurrenceMicrostatesAnalysis.jl: A Julia library for analyzing dynamical systems with recurrence microstates Recurrence Quantification Analysis (RQA) has become a standard tool for extracting nonlinear characteristics from time series. It relies on specific recurrence

Our partner from Federal University of Paraná (Curitiba) developed a fast #Julia package for microstate analysis of #recurrence_plot
doi.org/10.1063/5.02...

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RecurrenceMicrostatesAnalysis.jl: A Julia library for analyzing dynamical systems with recurrence microstates Recurrence Quantification Analysis (RQA) has become a standard tool for extracting nonlinear characteristics from time series. It relies on specific recurrence

New #Julia package for microstate analysis of #recurrence_plot
doi.org/10.1063/5.02...

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Deep multimodal fine-tuning regression (DMFR) framework was proposed to enhance prediction of remaining useful life of turbine engines by fusing CNN, transformer, and #recurrence_plot features.
doi.org/10.3390/mach...

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Figure 1 is problematic – close trajectories should not evolve in opposite directions (this would also produce perpendicular diagonal lines in the #recurrence_plot). Otherwise, the paper is very interesting with cool results!
www.sciencedirect.com/science/arti...

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Characterizing and quantifying weak chaos in fractional dynamics A particularly intriguing and unique feature of fractional dynamical systems is the cascade of bifurcations type trajectories (CBTT). We examine the C…

Cascade bifurcations in fractional maps were characterized using Hurst exponent & #recurrence_plot based return time entropy, revealing weakly chaotic dynamics.
www.sciencedirect.com/science/arti...

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A graph convolutional network for time series classification using recurrence plots - Applied Intelligence Time series classification (TSC) is a crucial task across various domains, and its performance heavily depends on the quality of input representations. Among various representations, the recurrence pl...

Improved accuracy in time series classification was achieved by modeling #recurrence_plot as graphs and applying graph convolutional networks. Topological recurrence was efficiently exploited. link.springer.com/article/10.1...

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Transitions and multistability in macroevolutionary dynamics of large mammals - Acta Palaeontologica Polonica

Joint #recurrence_plot analysis revealed coordinated state transitions between Cenozoic climate shifts and mammal diversity evolution, with highlighted multistable states and amplified diversity fluctuations during the Coolhouse and Icehouse regimes. doi.org/10.4202/app....

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