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Multifractal features of multimodal cardiac signals: Nonlinear dynamics of exercise recovery

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2026
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Authors
Maluckov, Aleksandra
Stojanović, Danka
Miletić, Marjan
Ivanović, Marija D.
Hadžievski, Ljupčo
Petrović, Jovana S.
Article (Accepted Version)
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Abstract
We investigate the recovery dynamics of healthy cardiac activity after physical exertion using multimodal biosignals recorded with a polycardiograph. Multifractal features derived from the singularity spectrum capture the scale-invariant properties of cardiovascular regulation. Five supervised classification algorithms-Logistic Regression (LogReg), Support Vector Machine with radial basis function kernel, k-Nearest Neighbors, Decision Tree, and Random Forest-were evaluated to distinguish recovery states in a small, imbalanced dataset. Our results show that multifractal analysis, combined with multimodal sensing, yields reliable features for characterizing recovery and points toward nonlinear diagnostic methods for heart conditions.
Keywords:
Non linear dynamics / Fractals / MATLAB / Machine learning / Heart rate
Source:
Chaos, 2026, 36, 1, 013120-
Funding / projects:
  • SensSmart - Multi-SENSor SysteM and ARTificial intelligence in service of heart failure diagnosis (RS-ScienceFundRS-Ideje-7754338)
  • Ministry of Science, Technological Development and Innovation of the Republic of Serbia, institutional funding - 200017 (University of Belgrade, Institute of Nuclear Sciences 'Vinča', Belgrade-Vinča) (RS-MESTD-inst-2020-200017)
Note:
  • This is a peer-reviewed version of the article: Maluckov, A., Stojanović, D. B., Miletić, M., Ivanović, M. D., Hadžievski, L., & Petrović, J. (2026). Multifractal features of multimodal cardiac signals: Nonlinear dynamics of exercise recovery. Chaos: An Interdisciplinary Journal of Nonlinear Science, 36(1). http://dx.doi.org/10.1063/5.0303657
Related info:
  • Version of
    https://vinar.vin.bg.ac.rs/handle/123456789/16089
  • Version of
    http://dx.doi.org/10.1063/5.0303657

DOI: 10.1063/5.0303657

ISSN: 1089-7682

Scopus: 2-s2.0-105027196848
[ Google Scholar ]
URI
https://vinar.vin.bg.ac.rs/handle/123456789/16093
Collections
  • Radovi istraživača
  • SensSmart
Institution/Community
Vinča
TY  - JOUR
AU  - Maluckov, Aleksandra
AU  - Stojanović, Danka
AU  - Miletić, Marjan
AU  - Ivanović, Marija D.
AU  - Hadžievski, Ljupčo
AU  - Petrović, Jovana S.
PY  - 2026
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/16093
AB  - We investigate the recovery dynamics of healthy cardiac activity after physical exertion using multimodal biosignals recorded with a polycardiograph. Multifractal features derived from the singularity spectrum capture the scale-invariant properties of cardiovascular regulation. Five supervised classification algorithms-Logistic Regression (LogReg), Support Vector Machine with radial basis function kernel, k-Nearest Neighbors, Decision Tree, and Random Forest-were evaluated to distinguish recovery states in a small, imbalanced dataset. Our results show that multifractal analysis, combined with multimodal sensing, yields reliable features for characterizing recovery and points toward nonlinear diagnostic methods for heart conditions.
T2  - Chaos
T1  - Multifractal features of multimodal cardiac signals: Nonlinear dynamics of exercise recovery
VL  - 36
IS  - 1
SP  - 013120
DO  - 10.1063/5.0303657
ER  - 
@article{
author = "Maluckov, Aleksandra and Stojanović, Danka and Miletić, Marjan and Ivanović, Marija D. and Hadžievski, Ljupčo and Petrović, Jovana S.",
year = "2026",
abstract = "We investigate the recovery dynamics of healthy cardiac activity after physical exertion using multimodal biosignals recorded with a polycardiograph. Multifractal features derived from the singularity spectrum capture the scale-invariant properties of cardiovascular regulation. Five supervised classification algorithms-Logistic Regression (LogReg), Support Vector Machine with radial basis function kernel, k-Nearest Neighbors, Decision Tree, and Random Forest-were evaluated to distinguish recovery states in a small, imbalanced dataset. Our results show that multifractal analysis, combined with multimodal sensing, yields reliable features for characterizing recovery and points toward nonlinear diagnostic methods for heart conditions.",
journal = "Chaos",
title = "Multifractal features of multimodal cardiac signals: Nonlinear dynamics of exercise recovery",
volume = "36",
number = "1",
pages = "013120",
doi = "10.1063/5.0303657"
}
Maluckov, A., Stojanović, D., Miletić, M., Ivanović, M. D., Hadžievski, L.,& Petrović, J. S.. (2026). Multifractal features of multimodal cardiac signals: Nonlinear dynamics of exercise recovery. in Chaos, 36(1), 013120.
https://doi.org/10.1063/5.0303657
Maluckov A, Stojanović D, Miletić M, Ivanović MD, Hadžievski L, Petrović JS. Multifractal features of multimodal cardiac signals: Nonlinear dynamics of exercise recovery. in Chaos. 2026;36(1):013120.
doi:10.1063/5.0303657 .
Maluckov, Aleksandra, Stojanović, Danka, Miletić, Marjan, Ivanović, Marija D., Hadžievski, Ljupčo, Petrović, Jovana S., "Multifractal features of multimodal cardiac signals: Nonlinear dynamics of exercise recovery" in Chaos, 36, no. 1 (2026):013120,
https://doi.org/10.1063/5.0303657 . .

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