Rodrigo Carareto
@insper.edu.br
Scopus Publications
- Expected Values in Complex Networks Constructed Using a Compression Algorithm to Time Series
Rodrigo Carareto, Fabio S. El Hage
International Journal of Bifurcation and Chaos, 2024
This paper introduces a methodology for computing expected values associated with compression networks resulting from the application of compression algorithms to independent and identically distributed random time series. Our analysis establishes a robust correspondence between the calculated expected values and empirically derived results obtained from constructing networks using nondeterministic time series. Notably, the ratio of the average indegree of a network to the computed expected indegree for stochastic time series serves as a versatile metric. It enables the assessment of inherent randomness in time series and facilitates the distinction between nondeterministic and chaotic systems. The metric demonstrates high sensitivity to nondeterminism in both synthetic and real-world datasets, highlighting its capacity to detect subtle disturbances and high-frequency noise, even in series characterized by a deficient sample rate. Our results extend and confirm previous findings in the field. - Using a wireless power transfer project to enhance the understanding of the Electromagnetic Theory in a modeling and simulation framework
International Symposium on Project Approaches in Engineering Education, 2023 - Deriving and validating an electrodynamic model of a voltage transformer from scratch
Fabio S El Hage, Fabio P B Vieira, Rodrigo Carareto
European Journal of Physics, 2021
Comprehending the in-depth functioning of a voltage transformer beyond the trivial voltage ratio, generally deducted from the application of Faraday’s law to an open secondary circuit, can be quite challenging for both students and teachers. In this paper, the authors propose an approach that uses Faraday’s and Ohm’s laws alone to derive an electric equivalent circuit for a transformer, with which is possible to accurately explain and predict currents and voltages in its primary and secondary coils under different load resistors connected to the secondary. The authors intend to use a common real-world application as motivation for students to learn Faraday’s law in the context of a modelling and simulation framework, which consists of deriving a model from fundamental physical laws that, after experimental validation, is capable of accurately predicting and explaining a complex phenomenon. - Natural synchronization in power-grids with anti-correlated units
Rodrigo Carareto, Murilo S. Baptista, Celso Grebogi
Communications in Nonlinear Science and Numerical Simulation, 2013 - Collective Almost Synchronisation in Complex Networks
Murilo S. Baptista, Hai-Peng Ren, Johen C. M. Swarts, Rodrigo Carareto, Henk Nijmeijer, Celso Grebogi
Plos One, 2012
This work introduces the phenomenon of Collective Almost Synchronisation (CAS), which describes a universal way of how patterns can appear in complex networks for small coupling strengths. The CAS phenomenon appears due to the existence of an approximately constant local mean field and is characterised by having nodes with trajectories evolving around periodic stable orbits. Common notion based on statistical knowledge would lead one to interpret the appearance of a local constant mean field as a consequence of the fact that the behaviour of each node is not correlated to the behaviours of the others. Contrary to this common notion, we show that various well known weaker forms of synchronisation (almost, time-lag, phase synchronisation, and generalised synchronisation) appear as a result of the onset of an almost constant local mean field. If the memory is formed in a brain by minimising the coupling strength among neurons and maximising the number of possible patterns, then the CAS phenomenon is a plausible explanation for it. - Architectures, stability and optimization for clock distribution networks
Rodrigo Carareto, Fernando M. Orsatti, José Roberto C. Piqueira
Communications in Nonlinear Science and Numerical Simulation, 2012 - Multiple synchronous states in static delay-free mutually connected PLL networks
Fernando Moya Orsatti, Rodrigo Carareto, José R.C. Piqueira
Signal Processing, 2010 - Reachability of the synchronous state in a mutually connected PLL network
Rodrigo Carareto, Fernando Moya Orsatti, José R.C. Piqueira
AEU International Journal of Electronics and Communications, 2009 - Optimized network structure for full-synchronization
R. Carareto, F.M. Orsatti, J.R.C. Piqueira
Communications in Nonlinear Science and Numerical Simulation, 2009 - Mutually connected phase-locked loop networks: Dynamical models and design parameters
F.M. Orsatti, R. Carareto, J.R.C. Piqueira
Iet Circuits Devices and Systems, 2008
Distribution of timing signals is an essential factor for the development of digital systems for telecommunication networks, integrated circuits and manufacturing automation. Originally, this distribution was implemented by using the master-slave architecture with a precise master clock generator sending signals to phase-locked loops (PLL) working as slave oscillators. Nowadays, wireless networks with dynamical connectivity and the increase in size and operation frequency of the integrated circuits suggest that the distribution of clock signals could be more efficient if mutually connected architectures were used. Here, mutually connected PLL networks are studied and conditions for synchronous states existence are analytically derived, depending on individual node parameters and network connectivity, considering that the nodes are nonlinear oscillators with nonlinear coupling conditions. An expression for the network synchronisation frequency is obtained. The lock-in range and the transmission error bounds are analysed providing hints to the design of this kind of clock distribution system.
