Dr MURILO DA SILVA BAPTISTA

Dr MURILO DA SILVA BAPTISTA
Dr MURILO DA SILVA BAPTISTA
Dr MURILO DA SILVA BAPTISTA

Reader

Accepting PhDs

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.

Email Me

Physics

Supervising
Accepting PhDs

Maths

Supervising
Accepting PhDs

Engineering

Supervising
Accepting PhDs

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

Page 6 of 7 Results 126 to 150 of 171

  • Experimental observation of a complex periodic window

    Maranhao, D. M., Baptista, M. D. S., Sartorelli, J. C., Caldas, I. L.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 77, no. 3, 037202
    Contributions to Journals: Articles
  • Reconstruction of eye movements during blinks

    Baptista, M. S., Bohn, C., Kliegl, R., Engbert, R., Kurths, J.
    Chaos, vol. 18, 013126
    Contributions to Journals: Articles
  • Transmission of information in active networks

    Baptista, M. S., Kurths, J.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 77, no. 2, 026205
    Contributions to Journals: Articles
  • Onset of phase synchronization in neurons with chemical synapse

    Pereira, T., Baptista, M. S., Kurths, J., Reyes, M. B.
    International Journal of Bifurcation and Chaos, vol. 17, no. 10, pp. 3545-3549
    Contributions to Journals: Articles
  • General framework for phase synchronization through localized sets

    Pereira, T., Baptista, M. S., Kurths, J.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 75, no. 2, 026216
    Contributions to Journals: Articles
  • Phase and average period of chaotic oscillators

    Pereira, T., Baptista, M. S., Kurths, J.
    Physics Letters A, vol. 362, no. 2-3, pp. 159-165
    Contributions to Journals: Articles
  • Detecting phase synchronization by localized maps: Application to neural networks

    Pereira, T., Baptista, M. S., Kurths, J.
    Europhysics Letters, vol. 77, no. 4, 40006
    Contributions to Journals: Articles
  • Shilnikov homoclinic orbit bifurcations in the Chua's circuit

    Medrano-T., R. O., Baptista, M. D. S., Caldas, I. L.
    Chaos, vol. 16, no. 4
    Contributions to Journals: Articles
  • Dynamically Multilayered Visual System of the Multifractal Fly

    Baptista, M. S., Grebogi, C., Koberle, R.
    Physical Review Letters, vol. 97, no. 17
    Contributions to Journals: Articles
  • Upper bounds in phase synchronous weak coherent chaotic attractors

    Baptista, M. D. S., Pereira, T., Kurths, J.
    Physica. D, Nonlinear Phenomena, vol. 216, no. 2, pp. 260-268
    Contributions to Journals: Articles
  • Information transmission in phase synchronous chaotic arrays

    Baptista, M. S., Zhou, C., Kurths, J.
    Chinese Physics Letters, vol. 23, no. 3, pp. 560-563
    Contributions to Journals: Articles
  • Global bifurcation destroying the experimental torus T-2

    Pereira, T., Baptista, M. D. S., Reyes, M. B., Caldas, I. L., Sartorelli, J. C., Kurths, J.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 73, no. 1, 017201
    Contributions to Journals: Articles
  • Non-transitive maps in phase synchronization

    Baptista, M. D. S., Pereira, T., Sartorelli, J. C., Caldas, I. L., Kurths, J.
    Physica. D, Nonlinear Phenomena, vol. 212, no. 3-4, pp. 216-232
    Contributions to Journals: Articles
  • Chaotic channel

    Baptista, M. D. S., Kurths, J.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 72, no. 4 Part 2, 045202
    Contributions to Journals: Articles
  • Basic structures of the Shilnikov homoclinic bifurcation scenario

    Medrano-T, R. O., Baptista, M. D. S., Caldas, I. L.
    Chaos, vol. 15, no. 3, 033112
    Contributions to Journals: Articles
  • Poincare Recurrence and Measure of Hyperbolic and Nonhyperbolic Chaotic Attractors

    Baptista, M. S., Kraut, S., Grebogi, C.
    Physical Review Letters, vol. 95, no. 9, pp. 094101-1 - 094101-4
    Contributions to Journals: Articles
  • Conditional targeting for communication

    Rodrigues, A., Caldas, I. L., Baptista, M. S., Piqueira, J. R. C.
    Chaos, Solitons & Fractals, vol. 21, no. 5, pp. 1271-1280
    Contributions to Journals: Articles
  • Irrational phase synchronization

    Baptista, M. D. S., Boccaletti, S., Josic, K., Leyva, I.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 69, no. 5, 056228
    Contributions to Journals: Articles
  • Phase synchronization and invariant measures in sinusoidally perturbed chaotic systems

    Baptista, M. S., Pereira, T., Sartorelli, J. C., Caldas, I. L., Kurths, J.
    Shock Compression of Condensed Matter, vol. 742, pp. 325-329
    Contributions to Journals: Articles
  • Homoclinic orbits in a piecewise system and their relation with invariant sets

    Medrano-T, R. O., Baptista, M. S., Caldas, I. L.
    Physica. D, Nonlinear Phenomena, vol. 186, no. 3-4, pp. 133-147
    Contributions to Journals: Articles
  • Controlling transient dynamics to communicate with homoclinic chaos

    Baptista, M. S., Boccaletti, S., Allaria, E., Meucci, R., Arecchi, F. T.
    Chaos, vol. 13, no. 3, pp. 921-925
    Contributions to Journals: Articles
  • Periodic driving of plasma turbulence

    Baptista, M. S., Caldas, I. L., Heller, M. V. A. P., Ferreira, A. A.
    Physics of Plasmas, vol. 10, no. 5, pp. 1283-1290
    Contributions to Journals: Articles
  • Phase synchronization in the perturbed Chua circuit

    Baptista, M. S., Silva, T. P., Sartorelli, J. C., Caldas, I. L., Rosa, E.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 67, no. 5, 056212
    Contributions to Journals: Articles
  • Stock market dynamics

    Baptista, M. S., Caldas, I. L.
    Physica. A, Statistical Mechanics and its Applications, vol. 312, no. 3-4, pp. 539-564
    Contributions to Journals: Articles
  • Dealing with final state sensitivity for synchronous communication

    dos Santos, E. P., Baptista, M. S., Caldas, I. L.
    Physica. A, Statistical Mechanics and its Applications, vol. 308, no. 1-4, pp. 101-112
    Contributions to Journals: Articles
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