Reader
- About
-
- Email Address
- murilo.baptista@abdn.ac.uk
- Telephone Number
- +44 (0)1224 272489
- Office Address
University of Aberdeen
Institute for Complex Systems and Mathematical Biology
Meston Building, Meston Walk
Aberdeen AB24 3UE
- School/Department
- School of Natural and Computing Sciences
Biography
Since 2014, I am a Reader of the University of Aberdeen, having joined it in 2009 as a Senior Lecturer. Before that, I worked as a postdoc, guest scientist, or guest assistant professor at 5 Universities and Institutes in USA, Brazil, Germany, and Portugal. I have interest in understanding the relationship among function (e.g., information, collective behaviour and synchronisation) and structure in large networked complex systems for its posterior modelling, having contributed to works in neuroscience, smart engineering systems, and sustainability of the Earth. My work is supported by analytical developments, but I also rely on the analysis and modelling of data using techniques from data sciences, nonlinear time-series analysis, and machine learning. I am a leading scientist in the area of chaos-based communication, where I am working to show that chaos offers alternative technologies for efficiently smart (and secure) wireless communication systems.
- Research
-
Research Overview
I have interest in understanding the relationship among function (e.g., information, collective behaviour and synchronisation) and structure in large networked complex systems for its posterior modelling, having contributed to works in neuroscience, smart engineering systems, and sustainability of the Earth. My work is supported by analytical developments, but I also rely on the analysis and modelling of data using techniques from data sciences, nonlinear time-series analysis, and machine learning. I am a leading scientist in the area of chaos-based communication, where I am working to show that chaos offers alternative technologies for efficiently smart (and secure) wireless communication systems.
Research Areas
Accepting PhDs
I am currently accepting PhDs in Physics, Maths, Engineering.
Please get in touch if you would like to discuss your research ideas further.
Research Specialisms
- Mathematical Modelling
- Applied Mathematics
- Dynamics
- Information Technology
- Neural Computing
Our research specialisms are based on the Higher Education Classification of Subjects (HECoS) which is HESA open data, published under the Creative Commons Attribution 4.0 International licence.
Current Research
I am working to understand optimal configuration to communicate wirelessly with chaos in the air and in space, to model synapses and their information capacity, predict degradation in vessels, to understand how synchronisation emerges in networks with connections of higher order, to model how arguments in a networks of agents predominates, to understand the causal relationship of socio and economic variables in Brazil, to explain the topological changes suffered in the brain of patients that have undergone brain surgeries due to tumours.
Past Research
During my PhD, we discovered that the driven Chua’s chaotic circuit presented a transition to chaos via destruction of a two-frequency torus. Though this route was known, the description of topological changes suffered by the chaotic attractor was not. Later on, I work to define the phase of chaotic oscillators. Though the phase of a periodic signal is a well-known quantity, for chaotic trajectories, it is not. Our work has proposed a mathematical framework to define and measure it.
To secure communication systems based on chaos, the chaotic wave signal encoding information should not be transmitted. Instead, one could transmit the trajectory’s Poincaré first return times (PFRT). This understanding resulted in the cipher today one of the founding references for the area of chaos-based cryptography. We have proved (see http://hdl.handle.net/10216/65184) a conjecture that the distribution of PFRTs can be analytically calculated by the eigenvalues of the unstable periodic orbits of the chaotic attractor, and shown that a very important and popular quantity to characterise chaotic behaviour - the Kolmogorov-Sinai entropy – can be estimated from PFRTs.
Typically, chaotic behaviour in a nonlinear system is replaced by periodic behaviour even when arbitrarily small parameter alterations are made. I worked on experiments to demonstrate this and validate works that explain why periodic behaviour is ubiquitous in nature, came in Ref. [42,90].
My work in neural networks with neurons connected by both electrical and chemical synapses has provided a rigorous ground to explain the regulatory effect that electrical synapses have in the brain. The study of such networks, known as multiplex networks, only became a topic of attention by the scientific community by 2013. We have proposed a formula for the mutual information in terms of Lyapunov exponents (that quantify chaos) and used to provide support for the Infomax theory that suggests that the brain evolve by maximising information. We have discovered the phenomenon of Collective Almost Synchronization, ubiquitous in complex networks, and that has been shown to be crucial for the chaos enhancement of machine learning methods to model and predict EEG signals. I have also shown that the cause-effect relationship between variables, or causality (and that is usually characterised by temporal quantities), is a spatial-temporal phenomenon. Finally, we have shown that a power grid without control systems can be designed to be reliable by properly connecting generators and consumers.
- Publications
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Page 1 of 4 Results 1 to 50 of 171
Chaotic dynamics under the influence of synthetic magnetic field in optomechanical system
Physical Review A - Atomic, Molecular, and Optical Physics, vol. 110, no. 2, 023509Contributions to Journals: ArticlesA Family Of 1D Modulo-Based Maps Without Equilibria And Robust Chaos — Application To A PRBG
Nonlinear Dynamics, vol. 112, pp. 12597–12621Contributions to Journals: ArticlesValidating a Chaos Based PRBG Under Different Chaotic Maps
Chapters in Books, Reports and Conference Proceedings: Conference Proceedings- [ONLINE] DOI: https://doi.org/10.1109/PACET60398.2024.10497085
- [ONLINE] View publication in Scopus
Analytical solutions for the short-term plasticity
Chaos, Solitons & Fractals, vol. 181, 114678Contributions to Journals: ArticlesDiscrete one-dimensional piecewise chaotic systems without fixed points
Nonlinear Dynamics, vol. 112, pp. 6679–6693Contributions to Journals: ArticlesEconomic–Sanitation–Environmental (Dis)Connections in Brazil: A Trans‐Scale Perspective From Minas Gerais State and BH Microregion
Urban Planning, vol. 9, 7048Contributions to Journals: ArticlesA Two Step Chaos-Based 3D Model Encryption
Chapters in Books, Reports and Conference Proceedings: Conference Proceedings- [ONLINE] DOI: https://doi.org/10.1109/DESSERT61349.2023.10416543
- [ONLINE] View publication in Scopus
- [ONLINE] Conference presentation on Youtube
Chaotic Maps With Tunable Mean Value - Application to a UAV Surveillance Mission
Symmetry, vol. 15, no. 12, 2138Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.3390/sym15122138
- [ONLINE] View publication in Scopus
The complementary contribution of each order topology into the synchronization of multi-order networks
Chaos, vol. 33, no. 11, 111101Contributions to Journals: ArticlesStructural connectivity modifications in the brain of selected patients with tumour after its removal by surgery (a case study)
Physica. A, Statistical Mechanics and its Applications, vol. 623, 128849Contributions to Journals: ArticlesConstruction of Piecewise Chaotic Maps With Tunable Statistical Mean
Chapters in Books, Reports and Conference Proceedings: Conference Proceedings- [ONLINE] DOI: https://doi.org/10.1109/MOCAST57943.2023.10176612
Plastic neural network with transmission delays promotes equivalence between function and structure
Chaos, Solitons and Fractals, vol. 171, 113480Contributions to Journals: ArticlesThe interface of disasters, sanitation, and poverty in Brazil: a sociological perspective
Frontiers in Sustainable Cities, vol. 5, 1184532Contributions to Journals: ArticlesChaotification of 1D maps by Multiple Remainder Operator Additions: Application to B-Spline Curve Encryption
Symmetry-Basel, vol. 15, no. 3, 726Contributions to Journals: ArticlesChaotification of One-Dimensional Maps Based on Remainder Operator Addition
Mathematics, vol. 10, no. 15, 2801Contributions to Journals: ArticlesInverse Problems for Gradual Semantics
Chapters in Books, Reports and Conference Proceedings: Conference Proceedings- [ONLINE] DOI: https://doi.org/10.24963/ijcai.2022/377
- [ONLINE] https://www.ijcai.org/proceedings/2022/0377.pdf
What Lies Behind the Acute Crises: The Social and Infrasystems Links with Disasters in Brazil
Sustainable Development Goals Series. Springer, pp. 35-52, 18 pagesChapters in Books, Reports and Conference Proceedings: Chapters- [ONLINE] DOI: https://doi.org/10.1007/978-981-16-8352-7_3
- [ONLINE] View publication in Scopus
Analytical Solutions for the Inverse Problem within Gradual Semantics
Working Papers: Preprint Papers- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2203.01201
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/19104/1/2203.01201v1.pdf
- [ONLINE] http://arxiv.org/abs/2203.01201v1
The Inverse Problem for Argumentation Gradual Semantics
Working Papers: Preprint Papers- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2202.00294
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/21380/1/2202.00294v1.pdf
- [ONLINE] http://arxiv.org/abs/2202.00294v1
Infrastructuring with CareCare in Cities of the Global SouthGlobal South
Urban Infrastructuring: Reconfigurations, Transformations and Sustainability in the Global South. Springer, pp. 309-319, 11 pagesChapters in Books, Reports and Conference Proceedings: Chapters- [ONLINE] DOI: https://doi.org/10.1007/978-981-16-8352-7_19
- [ONLINE] View publication in Scopus
Chaos for communication
Nonlinear Dynamics, vol. 105, pp. 1821-1841Contributions to Journals: ArticlesZooming into chaos as a pathway for the creation of a fast, light and reliable cryptosystem
Nonlinear Dynamics, vol. 104, pp. 753-764Contributions to Journals: ArticlesComplex Network Analysis and Engineering in 5G and Beyond Toward 6G
IEEE Access, vol. 8, pp. 227751-227755Contributions to Journals: EditorialsCollective Almost Synchronization-based model to extract and predict features of EEG signals
Scientific Reports, vol. 10, 16342Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1038/s41598-020-73346-z
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/15215/1/Ngyuen_etal_SR_Collective_VOR.pdf
- [ONLINE] View publication in Scopus
Multi-agent based autonomous control of microgrid
Chapters in Books, Reports and Conference Proceedings: Conference Proceedings- [ONLINE] DOI: https://doi.org/10.1109/SPIES48661.2020.9243144
- [ONLINE] View publication in Scopus
Influence of Delayed Conductance on Neuronal Synchronization
Frontiers in Physiology, vol. 11, 1053Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.3389/fphys.2020.01053
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/15650/1/fphys_11_01053.pdf
- [ONLINE] View publication in Scopus
Basin of attraction for chimera states in a network of Rossler oscillators
Chaos, vol. 30, no. 8, 083115Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1063/5.0014013
From Eigentrust to a Trust-measuring Algorithm in the Max-Plus Algebra
Chapters in Books, Reports and Conference Proceedings: Conference Proceedings- [ONLINE] DOI: https://doi.org/10.3233/FAIA200069
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/15068/1/Afanador_etal_ECAI_Eigentrust_VOR.pdf
- [ONLINE] View publication in Scopus
Algorithms for recursive delegation
AI Communications, vol. 32, no. 4, pp. 303-317Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.3233/AIC-190616
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/12775/1/AIComm_An_Adversarial_Algorithm_for_Delegation.pdf
- [ONLINE] http://pure-ots.abdn.ac.uk:8080/portal/en/researchoutput/algorithms-for-recursive-delegation(d372b924-4277-4d92-9b61-65c877259c41).html
- [ONLINE] View publication in Mendeley
Multi-agent systems in ICT enabled smart grid: A status update on technology framework and applications
IEEE Access, vol. 7, pp. 97959-97973Contributions to Journals: ArticlesDigital underwater communication with chaos
Communications in Nonlinear Science and Numerical Simulation, vol. 73, pp. 14-24Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/j.cnsns.2019.01.027
- [ONLINE] View publication in Scopus
Exploiting ergodicity of the logistic map using deep-zoom to improve security of chaos-based cryptosystems
International Journal of Modern Physics C, vol. 30, no. 5, 1950033Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1142/S0129183119500335
- [ONLINE] View publication in Scopus
Bistable firing pattern in a neural network model
Frontiers in Computational Neuroscience, vol. 13, 19Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.3389/fncom.2019.00019
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/12337/1/Bistable_Firing_Pattern_in_a_Neural_Network_Model.pdf
- [ONLINE] View publication in Scopus
- [ONLINE] https://www.frontiersin.org/article/10.3389/fncom.2019.00019/full
- [ONLINE] View publication in Mendeley
Evaluating performance of neural codes in model neural communication networks
Neural Networks, vol. 109, pp. 90-102Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/j.neunet.2018.10.008
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/13151/1/paper_neural_code_v16_nn2.pdf
- [ONLINE] View publication in Mendeley
An Adversarial Algorithm for Delegation
Chapters in Books, Reports and Conference Proceedings: Conference Proceedings- [ONLINE] DOI: https://doi.org/10.1007/978-3-030-17294-7_10
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/13969/1/AT_2018_paper_9.pdf
- [ONLINE] View publication in Scopus
- [ONLINE] View publication in Mendeley
- [ONLINE] https://abdn.pure.elsevier.com/en/en/researchoutput/an-adversarial-algorithm-for-delegation(ab7a03cb-d212-4179-84a1-757a71db11de).html
- [ONLINE] http://pure-ots.abdn.ac.uk:8080/portal/en/researchoutput/an-adversarial-algorithm-for-delegation(ab7a03cb-d212-4179-84a1-757a71db11de).html
Extensivity in infinitely large multiplex networks
Applied Network Science, vol. 4, no. 1, 73Contributions to Journals: ArticlesErratum to: Trapping Phenomenon Attenuates the Consequences of Tipping Points for Limit Cycles (Scientific Reports, (2017), 7, 1, (42351), 10.1038/srep42351)
Scientific Reports, vol. 8, no. 1, 17340Contributions to Journals: Comments and Debates- [ONLINE] DOI: https://doi.org/10.1038/s41598-018-35962-8
- [ONLINE] View publication in Scopus
Demostramos con ayuda de Facebook que la Odisea de Homero no es pura ficción
The ConversationContributions to Specialist Publications: ArticlesHow we showed Homer’s Odyssey is not pure fiction, with a little help from Facebook
The ConversationContributions to Journals: ArticlesRecurrence-based analysis of barrier breakup in the standard nontwist map
Chaos, vol. 28, no. 8, 085717Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1063/1.5021544
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/10222/5/1.5021544.pdf
Riddling: Chimera’s dilemma
Chaos, vol. 28, no. 8, 081105Contributions to Journals: Articles- [ONLINE] https://arxiv.org/abs/1807.08668
- [ONLINE] DOI: https://doi.org/10.1063/1.5048595
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/10883/3/1.5048595.pdf
The Odyssey’s mythological network
PloS ONE, vol. 13, no. 7, e0200703Contributions to Journals: ArticlesDynamics of a parametrically excited simple pendulum
Chaos, vol. 28, no. 3, 033103Contributions to Journals: ArticlesEntropy-based Generating Markov Partitions for Complex Systems
Chaos, vol. 28, no. 3, pp. 1-11Contributions to Journals: Articles- [ONLINE] http://arxiv.org/abs/1711.09072v1
- [ONLINE] DOI: https://doi.org/10.1063/1.5002097
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/9905/1/RGB_Finding_GMPs_Chaos2017.pdf
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/9905/3/1.5002097.pdf
A symbolic network-based nonlinear theory for dynamical systems observability
Scientific Reports, vol. 8, pp. 1-15Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1038/s41598-018-21967-w
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/10105/1/s41598_018_21967_w.pdf
How synapses can enhance sensibility of a neural network
Physica. A, Statistical Mechanics and its Applications, vol. 492, pp. 1045 - 1052Contributions to Journals: ArticlesAntimonotonicity, Crisis and Multiple Attractors in a Simple Memristive Circuit
Journal of Circuits, Systems, and Computers, vol. 27, no. 2, pp. 1-14Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1142/S0218126618500263
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/10685/1/preprint_repository.pdf
Inference of topology and the nature of synapses, and the flow of information in neuronal networks
Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 97, no. 2, pp. 1-7Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevE.97.022303
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/10006/1/PhysRevE.97.022303.pdf
Chaos-based underwater communication with arbitrary transducers and bandwidth
Applied Sciences, vol. 8, no. 2, pp. 1-11Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.3390/app8020162
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/9943/1/applsci_08_00162.pdf
Space-time nature of causality
Chaos, vol. 28, no. 7, 075509Contributions to Journals: Articles