I am full-professor at Escola Politécnica(Universidade de São Paulo). My research is mainly about: Nonlinear differential equations and delay differential equations applied to synchronization problems; nonlinear models applied to computer virus propagation; complexity measures for classical and quantum systems; artificial intelligence applied to security of nuclear power plants.
This chapter is about the minimum time evolution between two quantum states considering the dynamics obeying either time-invariant Hamiltonians or time-varying ones. Merit figures are defined to help quantum control designers to define optimization parameters. The expressions are derived from the time-energy uncertainty relations and a practical case is studied as an example.
Part of the book: Research Advances in Quantum Dynamics
Information entropy concept is the base for many measures used to evaluate the complexity of complex environmental systems. Its application has great potential to evaluate landscape organization and dynamics, especially if we consider that there is a direct relation between their patterns and processes: the spatial arrangement (structure) of units within a mosaic reflects on system functions. Consequently, changes on structure reflects on functions and vice versa. Here, we exemplify how three measures based on information entropy – LMC and SDL complexity measures and He/Hmax variability measure – could be applied to evaluating the degree of complexity of a landscape and its components by associating their heterogeneity with the diversity of information acquired from the remote sensors’ images. For this, we developed two scripts for a Geographical Information System (QGIS): (1) CompPlex HeROI, that compares the complexity of a landscape patch with others and also with their transition areas; and (2) CompPlex Janus, which analyzes how complexity varies in the landscape over space and time, generating landscape complexity maps. We also use LMC and SDL complexity measures and He/Hmax variability measure to evaluate complexity time series of environmental variables, as rain and temperature, which allow to evaluate how their variations along time and space affects landscape dynamics. Therefore, application of such metrics in multi-temporal studies of landscape dynamics provides indicators of landscape resilience and the degree of conservation or degradation of its different fragments due to anthropic impacts related to land uses.
Part of the book: Theory of Complexity
The threats produced by viruses in computer networks have been frequent and the subject of many studies. Computer viruses share common characteristics with biological viruses, and therefore, one of the ways to study the dynamics of virus propagation has been through biological analogies. Inspired by macroscopic models, the susceptible-infected-removable (SIR) model allowed variations of compartmental models and suggested defenses considering antidotal (SIRA) and quarantined compartments (SIQRA), giving rise to models that evaluate the effectiveness and strategies to control the spread of viruses in networks. Recently, with the rapid popularization and access to networks, new studies have been taken into consideration the clusters of association of networks, indicating new control strategies and particularities of the dynamics. Toward this goal, this chapter presents a review of the mathematical model based in clustered computer network with the brief overview of the mathematical model reviews and providing an integrated framework to clustered model. In this essay, there is a discussion about the several ways of applying compartmental models to study the propagation of computer viruses and malwares through networks, emphasizing the effect of connections between geographically distributed machine clusters.
Part of the book: Malware