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Dr MURILO DA SILVA BAPTISTA

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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.

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Physics

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Accepting PhDs
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Maths

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Engineering

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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 2 of 2 Results 101 to 171 of 171

  • Natural synchronization in power-grids with anti-correlated units

    Carareto, R., Baptista, M. S., Grebogi, C.
    Communications in Nonlinear Science & Numerical Simulation, vol. 18, no. 4, pp. 1035-1046
    Contributions to Journals: Articles

  • Secure information transfer based on computing reservoir

    Szmoski, R. M., Ferrari, F. A. S., Pinto, S. E. d. S., Baptista, M. S., Viana, R. L.
    Physics Letters A, vol. 377, no. 10-11, pp. 760-765
    Contributions to Journals: Articles

  • Structure and function in flow networks

    Rubido, N., Grebogi, C., Baptista, M. S.
    Europhysics Letters, vol. 101, no. 6, 68001
    Contributions to Journals: Articles

  • Synthetic aperture sonar images segmentation using dynamical modeling analysis

    Conti, L. A., Baptista, M.
    Revista Brasileira de Geofisica, vol. 31, no. 3, pp. 455-462
    Contributions to Journals: Articles

  • Synthetic aperture sonar images segmentation using dynamical modelling analysis

    Conti, L. A., Baptista, M.
    Revista Brasileira de Geofísica, vol. 31, no. 3, pp. 455-462
    Contributions to Journals: Articles

  • Collective almost synchronisation in complex networks

    Baptista, M. S., Ren, H., Swarts, J. C. M., Carareto, R., Nijmeijer, H., Grebogi, C.
    PloS ONE, vol. 7, no. 11, e48118
    Contributions to Journals: Articles

  • Mutual information rate and bounds for it

    Baptista, M. S., Rubinger, R. M., Viana, E. R., Sartorelli, J. C., Parlitz, U., Grebogi, C.
    PloS ONE, vol. 7, no. 10, e46745
    Contributions to Journals: Articles

  • Fundamentals of a classical chaos-based cryptosystem with some quantum cryptography features

    Vidal, G., Baptista, M. S., Mancini, H.
    International Journal of Bifurcation and Chaos, vol. 22, no. 10, 1250243
    Contributions to Journals: Articles

  • Uncovering missing symbols in communication with filtered chaotic signals

    Ren, H., Baptista, M. D. S., Grebogi, C.
    International Journal of Bifurcation and Chaos, vol. 22, no. 8, 1250199
    Contributions to Journals: Articles

  • Active networks that maximize the amount of information transmission

    Baptista, M. S., De Carvalho, J. X., Hussein, M. S., Grebogi, C.
    International Journal of Bifurcation and Chaos, vol. 22, no. 2, 1230008
    Contributions to Journals: Articles

  • How complex a dynamical network can be?

    Baptista, M. S., Kakmeni, F. M., Del Magno, G., Hussein, M. S.
    Physics Letters A, vol. 375, no. 10, pp. 1309-1318
    Contributions to Journals: Articles

  • Density of first Poincare returns, periodic orbits, and Kolmogorov-Sinai entropy

    Pinto, P. R. F., Baptista, M. S., Labouriau, I. S.
    Communications in Nonlinear Science & Numerical Simulation, vol. 16, no. 2, pp. 863-875
    Contributions to Journals: Articles

  • Density of first Poincaré returns, periodic orbits, and Kolmogorov–Sinai entropy

    Baptista, M. D. S.
    Communications in Nonlinear Science & Numerical Simulation, vol. 16, no. 2, pp. 863 -875
    Contributions to Journals: Articles

  • Abundance of stable periodic behavior in a Red Grouse population model with delay: A consequence of homoclinicity

    Slipantschuk, J., Ullner, E., Baptista, M. D. S., Zeineddine, M., Thiel, M.
    Chaos, vol. 20, no. 4, 045117
    Contributions to Journals: Articles

  • Combined effect of chemical and electrical synapses in Hindmarsh-Rose neural networks on synchronization and the rate of information

    Baptista, M. D. S., Kakmeni, F. M., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 82, no. 3, pp. 036203
    Contributions to Journals: Articles

  • Kolmogorov-Sinai entropy from recurrence times

    Baptista, M. S., Ngamga, E. J., Pinto, P. R. F., Brito, M., Kurths, J.
    Physics Letters A, vol. 374, no. 9, pp. 1135-1140
    Contributions to Journals: Articles

  • Dynamical estimates of chaotic systems from Poincaré recurrences

    Baptista, M. S., Maranhão, D. M., Sartorelli, J. C.
    Chaos, vol. 19, no. 4, pp. 1-10
    Contributions to Journals: Articles

  • A Scenario for torus T2 destruction via a global bifurcation

    Pereira, T., Baptista, M. S., Reyes, M. B., Caldas, I. L., Sartorelli, J. C., Kurths, J.
    Chaos, Solitons & Fractals, vol. 39, no. 5, pp. 2198-2210
    Contributions to Journals: Articles

  • Experimental identification of chaotic fibers

    Maranhão, D. M., Sartorelli, J. C., Baptista, M. S.
    Chaos, Solitons & Fractals, vol. 39, no. 1, pp. 9-16
    Contributions to Journals: Articles

  • The staircase structure of the Southern Brazilian Continental Shelf

    Baptista, M. S., Conti, L. A.
    Mathematical Problems in Engineering, vol. 2009, 624861
    Contributions to Journals: Articles

  • Transmission of information and synchronization in a pair of coupled chaotic circuits: An experimental overview

    Baptista, M. D. S., Garcia, S., Dana, S. K., Kurths, J.
    The European Physical Journal. Special Topics, vol. 165, no. 1, pp. 119-128
    Contributions to Journals: Articles

  • Finding quasi-optimal network topologies for information transmission in active networks

    Baptista, M. S., de Carvalho, J. X., Hussein, M. S.
    PloS ONE, vol. 3, no. 10, e3479
    Contributions to Journals: Articles

  • Network mutual information and synchronization under time transformations

    Pereira, T., Thiel, M., Baptista, M. S., Kurths, J.
    New Journal of Physics, vol. 10, pp. -
    Contributions to Journals: Articles

  • Synchronization and information transmission in spatio-temporal networks of deformable units

    Kakmeni, F. M. M., Baptista, M. S.
    Pramana, vol. 70, no. 6, pp. 1063-1076
    Contributions to Journals: Articles

  • Phase and average period of chaotic oscillators(vol 362, pg 159, 2007): Erratum

    Pereira, T., Baptista, M. S., Kurths, J.
    Physics Letters A, vol. 372, no. 13, pp. 2339-2340
    Contributions to Journals: Articles

  • 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

  • Information transfer in chaos-based communication

    Baptista, M. S., Lopez, L.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 65, no. 5
    Contributions to Journals: Articles

  • Statistics of plasma fluctuations in runaway discharges in TCABR tokamak

    Baptista, M. S., Caldas, I. L., de Sa, W. P., Elizondo, J. I.
    Brazilian Journal of Physics, vol. 32, no. 1, pp. 95-99
    Contributions to Journals: Articles

  • Statistics of turbulence induced by magnetic field

    Ferreira, A. A., Heller, M. V. A. P., Baptista, M. S., Caldas, I. L.
    Brazilian Journal of Physics, vol. 32, no. 1, pp. 85-88
    Contributions to Journals: Articles

  • Onset of symmetric plasma turbulence

    Baptista, M. S., Caldas, I. L., Heller, M. V. A., Ferreira, A. A.
    Physica. A, Statistical Mechanics and its Applications, vol. 301, no. 1-4, pp. 150-162
    Contributions to Journals: Articles

  • Recurrence in plasma edge turbulence

    Baptista, M. S., Caldas, I. L., Heller, M. V. A. P., Ferreira, A. A., Bengtson, R. D., Stockel, J.
    Physics of Plasmas, vol. 8, no. 10, pp. 4455-4462
    Contributions to Journals: Articles

  • Statistics of plasma edge turbulence in tokamaks

    Baptista, M. S., Caldas, I. L., Heller, M. V. A. P.
    American Institute of Physics Conference Proceedings, vol. 563, no. 1, pp. 221-226
    Contributions to Journals: Articles

  • Low-dimensional dynamics in observables from complex and higher-dimensional systems

    Baptista, M. S., Caldas, I. L., Baptista, M. S., Baptista, C. S., Ferreira, A. A., Heller, M. V. A. P.
    Physica. A, Statistical Mechanics and its Applications, vol. 287, no. 1-2, pp. 91-99
    Contributions to Journals: Articles

  • Integrated chaotic communication scheme

    Baptista, M. S., Macau, E. E., Grebogi, C., Lai, Y. C., Rosa, E.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 62, no. 4, pp. 4835-4845
    Contributions to Journals: Articles

  • On the stock market recurrence

    Baptista, M. S., Caldas, I. L.
    Physica. A, Statistical Mechanics and its Applications, vol. 284, no. 1-4, pp. 348-354
    Contributions to Journals: Articles

  • Communication through chaotic modeling of languages

    Baptista, M. S., Rosa, E., Grebogi, C.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 61, no. 4, pp. 3590-3600
    Contributions to Journals: Articles

  • Control of shipboard cranes

    Baptista, M. S., Hunt, B. R., Grebogi, C., Ott, E., Yorke, J. A.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Type-II intermittency in the driven Double Scroll Circuit

    Baptista, M. S., Caldas, I. L.
    Physica. D, Nonlinear Phenomena, vol. 132, no. 3, pp. 325-338
    Contributions to Journals: Articles

  • Dynamics of the two-frequency torus breakdown in the driven double scroll circuit

    Baptista, M. S., Caldas, I. L.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 58, no. 4, pp. 4413-4420
    Contributions to Journals: Articles

  • Phase-locking and bifurcations of the sinusoidally-driven double scroll circuit

    Baptista, M. S., Caldas, I. L.
    Nonlinear Dynamics, vol. 17, no. 2, pp. 119-139
    Contributions to Journals: Articles

  • Interior crises in a dripping faucet experiment

    Pinto, R. D., Goncalves, W. M., Sartorelli, J. C., Caldas, I. L., Baptista, M. S.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 58, no. 3, pp. 4009-4011
    Contributions to Journals: Articles

  • Targeting applying epsilon-bounded orbit correction perturbations

    Baptista, M. S.
    International Journal of Bifurcation and Chaos, vol. 8, no. 7, pp. 1575-1584
    Contributions to Journals: Articles

  • Cryptography with chaos

    Baptista, M. S.
    Physics Letters A, vol. 240, no. 1-2, pp. 50-54
    Contributions to Journals: Articles

  • Easy-to-implement method to target nonlinear systems

    Baptista, M. S., Caldas, I. L.
    Chaos, vol. 8, no. 1, pp. 290-299
    Contributions to Journals: Articles

  • The parameter space structure of the kicked logistic map and its stability

    Baptista, M. S., Caldas, I. L.
    International Journal of Bifurcation and Chaos, vol. 7, no. 2, pp. 447-457
    Contributions to Journals: Articles

  • Dynamics of the kicked logistic map

    Baptista, M. S., Caldas, I. L.
    Chaos, Solitons & Fractals, vol. 7, no. 3, pp. 325-336
    Contributions to Journals: Articles

  • Control of Trajectories of the Kicked Logistic Map

    BAPTISTA, M. S., CALDAS, I. L.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings
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