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4 | 4 |
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5 | 5 | MODA (Multiscale Oscillatory Dynamics Analysis) is a numerical toolbox developed by the |
6 | 6 | [Nonlinear & Biomedical Physics group](https://www.lancaster.ac.uk/physics/research/experimental-condensed-matter/nonlinear-and-biomedical-physics/) at [Lancaster University](https://www.lancaster.ac.uk/physics/) for analysing real-life time-series |
7 | | -that are assumed to be the output of some a priori unknown non-autonomous dynamical system, |
| 7 | +that are assumed to be the output of some *a priori* unknown non-autonomous dynamical system, |
8 | 8 | and deriving important properties about this dynamical system from the time-series. It includes |
9 | 9 | methods both for analysing the recordings of a single signal over time, and for analysing a set |
10 | 10 | of recordings of multiple different signals over time. In particular, it has tools for analysing |
@@ -48,3 +48,53 @@ You can check which toolboxes are currently installed by running the "ver" comma |
48 | 48 | To use MODA, download the code and place it in a desired location. In your file explorer, double-click "MODA.m" inside the MODA folder to open it with MATLAB. |
49 | 49 |
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50 | 50 | MODA can then be started using the "Run" button in the MATLAB editor. |
| 51 | + |
| 52 | +## References |
| 53 | + |
| 54 | +### Overview |
| 55 | +1. J Newman, G Lancaster and A Stefanovska, “Multiscale Oscillatory Dynamics |
| 56 | +Analysis”, v1.01, User Manual, 2018. |
| 57 | +2. P Clemson, G Lancaster, A Stefanovska, “Reconstructing time-dependent dynamics”, *Proc IEEE* |
| 58 | +**104**, 223–241 (2016). |
| 59 | +3. P Clemson, A Stefanovska, “Discerning non-autonomous dynamics”, *Phys Rep* **542**, 297-368 (2014). |
| 60 | + |
| 61 | +### Time-Frequency Analysis |
| 62 | +1. D Iatsenko, P V E McClintock, A Stefanovska, “Linear and synchrosqueezed time-frequency |
| 63 | +representations revisited: Overview, standards of use, resolution, reconstruction, concentration, and |
| 64 | +algorithms”, *Dig Sig Proc* **42**, 1–26 (2015). |
| 65 | +2. P Clemson, G Lancaster, A Stefanovska, “Reconstructing time-dependent dynamics”, *Proc IEEE* |
| 66 | +**104**, 223–241 (2016). |
| 67 | +3. G Lancaster, D Iatsenko, A Pidde, V Ticcinelli, A Stefanovska, “Surrogate data for hypothesis testing of |
| 68 | +physical systems”, *Phys Rep* **748**, 1–60 (2018). |
| 69 | + |
| 70 | +### Wavelet Phase Coherence |
| 71 | +1. Bandrivskyy A, Bernjak A, McClintock P V E, Stefanovska A, “Wavelet phase coherence analysis: |
| 72 | +Application to skin temperature and blood flow”, *Cardiovasc Engin* **4**, 89–93 (2004). |
| 73 | +2. Sheppard L W, Stefanovska A, McClintock P V E, “Testing for time-localised coherence in bivariate |
| 74 | +data”, *Phys. Rev. E* **85**, 046205 (2012). |
| 75 | + |
| 76 | +### Ridge Extraction & Filtering |
| 77 | +1. D Iatsenko, P V E McClintock, A Stefanovska, “Nonlinear mode decomposition: A noise-robust, |
| 78 | +adaptive decomposition method”, *Phys Rev E* **92**, 032916 (2015). |
| 79 | +2. D Iatsenko, P V E McClintock, A Stefanovska, “Extraction of instantaneous frequencies from ridges in |
| 80 | +time-frequency representations of signals”, *Sig Process* **125**, 290–303 (2016). |
| 81 | + |
| 82 | +### Wavelet Bispectrum Analysis |
| 83 | +1. J Jamšek, A Stefanovska, P V E McClintock, “Wavelet bispectral analysis for the study of interactions |
| 84 | +among oscillators whose basic frequencies are significantly time variable”, *Phys Rev E* **76**, 046221 |
| 85 | +(2007). |
| 86 | +2. J Jamšek, M Paluš, A Stefanovska, “Detecting couplings between interacting oscillators with |
| 87 | +time-varying basic frequencies: Instantaneous wavelet bispectrum and information theoretic approach”, |
| 88 | +*Phys Rev E* **81**, 036207 (2010). |
| 89 | +3. J Newman, A Pidde, A Stefanovska, “Defining the wavelet bispectrum”, submitted (2019). |
| 90 | + |
| 91 | +### Dynamical Bayesian Inference |
| 92 | +1. V N Smelyanskiy, D G Luchinsky, A Stefanovska, P V E McClintock, “Inference of a nonlinear stochastic model of the cardiorespiratory |
| 93 | +interaction”, *Phys Rev Lett* **94**, 098101 (2005). |
| 94 | +2. T Stankovski, A Duggento, P V E McClintock, A Stefanovska, “Inference of time-evolving coupled dynamical systems in the presence of noise”, |
| 95 | +*Phys Rev Lett* **109**, 024101 (2012). |
| 96 | +3. T Stankovski, A Duggento, P V E McClintock, A Stefanovska, “A tutorial on time-evolving dynamical Bayesian inference”, *Eur Phys J – Special |
| 97 | +Topics* **223**, 2685-2703 (2014). |
| 98 | +4. T Stankovski, T Pereira, P V E McClintock, A Stefanovska, “Coupling functions: Universal insights into dynamical interaction mechanisms”, *Rev |
| 99 | +Mod Phys* **89**, 045001 (2017). |
| 100 | +5. Special issue of the *Philos Trans Royal Soc A* (2019) with contributions by Kuramoto and others. |
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