Analysis of Terrorism Data-series by means of Power Law and Pseudo Phase Plane

2015 ◽  
Vol 4 (4) ◽  
pp. 403-411
Author(s):  
Antonio M. Lopes ◽  
J.A. Tenreiro Machado
Keyword(s):  
Power Law ◽  
Phase Plane ◽  
Data Series ◽  
Pseudo Phase Plane

scholarly journals Analysis of Forest Fires by means of Pseudo Phase Plane and Multidimensional Scaling Methods

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
J. A. Tenreiro Machado ◽  
António M. Lopes
Keyword(s):  
Time Series ◽  
Multidimensional Scaling ◽  
Forest Fires ◽  
Phase Plane ◽  
Dimensional Space ◽  
Second Phase ◽  
Burnt Area ◽  
Long Range Correlations ◽  
Scaling Methods ◽  
Pseudo Phase Plane

Forest fires dynamics is often characterized by the absence of a characteristic length-scale, long range correlations in space and time, and long memory, which are features also associated with fractional order systems. In this paper a public domain forest fires catalogue, containing information of events for Portugal, covering the period from 1980 up to 2012, is tackled. The events are modelled as time series of Dirac impulses with amplitude proportional to the burnt area. The time series are viewed as the system output and are interpreted as a manifestation of the system dynamics. In the first phase we use the pseudo phase plane (PPP) technique to describe forest fires dynamics. In the second phase we use multidimensional scaling (MDS) visualization tools. The PPP allows the representation of forest fires dynamics in two-dimensional space, by taking time series representative of the phenomena. The MDS approach generates maps where objects that are perceived to be similar to each other are placed on the map forming clusters. The results are analysed in order to extract relationships among the data and to better understand forest fires behaviour.

scholarly journals Experimental backlash study in mechanical manipulators

Robotica ◽  
2010 ◽  
Vol 29 (2) ◽  
pp. 211-219 ◽  
Author(s):  
Miguel F. M. Lima ◽  
J. A. Tenreiro Machado ◽  
Manuel Crisóstomo
Keyword(s):  
Signal Processing ◽  
Phase Plane ◽  
Robotic System ◽  
Experimental Setup ◽  
Pseudo Phase Plane ◽  
Mechanical Manipulators

SUMMARYThe behavior of mechanical manipulators with backlash is analyzed. In order to acquire and study the signals an experimental setup is implemented. The signal processing capabilities of the wavelets are used for de-noising the experimental signals and the energy of the obtained components is analyzed. To evaluate the backlash effect upon the robotic system, it is proposed an index based on the pseudo phase plane representation. Several tests are developed that demonstrate the coherence of the results.

Representation of robotic fractional dynamics in the pseudo phase plane

2011 ◽  
Vol 27 (1) ◽  
pp. 28-35 ◽  
Author(s):  
Miguel F. M. Lima ◽  
J. A. Tenreiro Machado
Keyword(s):  
Phase Plane ◽  
Fractional Dynamics ◽  
Pseudo Phase Plane

scholarly journals Power Law Behavior and Self-Similarity in Modern Industrial Accidents

2015 ◽  
Vol 25 (01) ◽  
pp. 1550004 ◽  
Author(s):  
António M. Lopes ◽  
J. A. Tenreiro Machado
Keyword(s):  
Power Law ◽  
Nuclear Power ◽  
Statistical Physics ◽  
Power Plants ◽  
Data Series ◽  
Industrial Accident ◽  
Industrial Accidents ◽  
Wide Range ◽  
Accident Data ◽  
Human Operators

Advances in technology have produced more and more intricate industrial systems, such as nuclear power plants, chemical centers and petroleum platforms. Such complex plants exhibit multiple interactions among smaller units and human operators, rising potentially disastrous failure, which can propagate across subsystem boundaries. This paper analyzes industrial accident data-series in the perspective of statistical physics and dynamical systems. Global data is collected from the Emergency Events Database (EM-DAT) during the time period from year 1903 up to 2012. The statistical distributions of the number of fatalities caused by industrial accidents reveal Power Law (PL) behavior. We analyze the evolution of the PL parameters over time and observe a remarkable increment in the PL exponent during the last years. PL behavior allows prediction by extrapolation over a wide range of scales. In a complementary line of thought, we compare the data using appropriate indices and use different visualization techniques to correlate and to extract relationships among industrial accident events. This study contributes to better understand the complexity of modern industrial accidents and their ruling principles.

scholarly journals A Multidimensional Scaling Analysis of Musical Sounds Based on Pseudo Phase Plane

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Miguel F. M. Lima ◽  
J. A. Tenreiro Machado ◽  
António C. Costa
Keyword(s):  
Mutual Information ◽  
Multidimensional Scaling ◽  
Phase Plane ◽  
Musical Composition ◽  
Dynamical Analysis ◽  
Scaling Analysis ◽  
Average Mutual Information ◽  
Pseudo Phase Plane ◽  
Musical Sounds ◽  
Musical Styles

This paper studies musical opus from the point of view of three mathematical tools: entropy, pseudo phase plane (PPP), and multidimensional scaling (MDS). The experiments analyze ten sets of different musical styles. First, for each musical composition, the PPP is produced using the time series lags captured by the average mutual information. Second, to unravel hidden relationships between the musical styles the MDS technique is used. The MDS is calculated based on two alternative metrics obtained from the PPP, namely, the average mutual information and the fractal dimension. The results reveal significant differences in the musical styles, demonstrating the feasibility of the proposed strategy and motivating further developments towards a dynamical analysis of musical sounds.

Pseudo phase plane, delay and fractional dynamics

2008 ◽  
Vol 42 (6-8) ◽  
pp. 1037-1051 ◽  
Author(s):  
MF Martins Lima ◽  
JA Tenreiro Machado ◽  
M Marques Crisóstomo
Keyword(s):  
Phase Plane ◽  
Fractional Dynamics ◽  
Pseudo Phase Plane

scholarly journals The correlation analysis of the daily Covid-19 new cases data series in Albania

2021 ◽  
Vol 2090 (1) ◽  
pp. 012019
Author(s):  
Agron Gjana ◽  
Sandër Kovaçi
Keyword(s):  
Power Law ◽  
Preferential Attachment ◽  
Data Series ◽  
Power Law Distribution ◽  
Time Intervals ◽  
Organization Behavior ◽  
Bell Curve ◽  
The Social ◽  
Social Graphs ◽  
Low Incidence

Abstract We analyzed herein the new covid-19 daily positive cases recorded in Albania. We observed that the distribution of the daily new cases is non-stationary and usually has a power law behavior in the low incidence zone, and a bell curve for the remaining part of the incidence interval. We qualified this finding as the indicator intensive dynamics and as proof that up now, the heard immunity has not been reached. By parallelizing the preferential attachment mechanisms responsible for a power law distribution in the social graphs elsewhere, we explain the low daily incidence distribution as result of the imprudent gatherings of peoples. Additionally, the bell-shaped distribution observed for the high daily new cases is agued as outcome of the competition between illness advances and restriction measures. The distribution is acceptably smooth, meaning that the management has been accommodated appropriately. This behavior is observed also for two neighbor countries Greece and Italy respectively, but was not observed for Turkey, Serbia, and North Macedonia. Next, we used the multifractal analysis to conclude about the features related with heterogeneity of the data. We have identified the local presence self-organization behavior in some separate time intervals. Formally and empirically we have identified that the full set of the data contain two regimes finalized already, followed by a third one which started in July 2021.

scholarly journals Analysis of the Nano-Surface of a Modified Glassy Carbon Electrode by Pseudo Phase Plane Method

2011 ◽  
Vol 8 (10) ◽  
pp. 1986-1992
Author(s):  
J. A. Tenreiro Machado ◽  
Dumitru Baleanu ◽  
Erdal Dinç ◽  
Ali Osman Solak ◽  
Haslet Eķsi ◽  
...  
Keyword(s):  
Glassy Carbon Electrode ◽  
Glassy Carbon ◽  
Phase Plane ◽  
Carbon Electrode ◽  
Modified Glassy Carbon Electrode ◽  
Plane Method ◽  
Pseudo Phase Plane ◽  
Phase Plane Method

scholarly journals Dynamic analysis of earthquake phenomena by means of pseudo phase plane

2013 ◽  
Vol 74 (4) ◽  
pp. 1191-1202 ◽  
Author(s):  
António M. Lopes ◽  
J. A. Tenreiro Machado
Keyword(s):  
Dynamic Analysis ◽  
Phase Plane ◽  
Pseudo Phase Plane
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