- Chaos control and synchronization
- Nonlinear Dynamics and Pattern Formation
- Quantum chaos and dynamical systems
- Mathematical and Theoretical Epidemiology and Ecology Models
- COVID-19 epidemiological studies
- Evolution and Genetic Dynamics
- Neural dynamics and brain function
- stochastic dynamics and bifurcation
- Elasticity and Wave Propagation
- Gear and Bearing Dynamics Analysis
- Advanced Memory and Neural Computing
- Botanical Research and Chemistry
- Dynamics and Control of Mechanical Systems
- Theoretical and Computational Physics
- Magnetic confinement fusion research
- Iterative Learning Control Systems
- Electric Power Systems and Control
- Innovative Energy Harvesting Technologies
- Geography and Environmental Studies
- Adhesion, Friction, and Surface Interactions
- Wireless Power Transfer Systems
- Fractal and DNA sequence analysis
- Slime Mold and Myxomycetes Research
- Viral Infections and Outbreaks Research
- Cellular Automata and Applications
Federal University of São João del-Rei
2013-2024
Universidade de São Paulo
2001-2024
University of Aberdeen
2007
We study three different strategies of vaccination in an SEIRS (Susceptible–Exposed–Infected–Recovered–Susceptible) seasonal forced model, which are (i) continuous vaccination; (ii) periodic short-time localized vaccination, and (iii) pulsed width campaign. Considering the first strategy, we obtain expression for basic reproduction number infer a minimum rate necessary to ensure stability disease-free equilibrium (DFE) solution. In second short duration pulses added constant baseline rate....
In the bi-dimensional parameter space of an impact-pair system, shrimp-shaped periodic windows are embedded in chaotic regions. We show that a weak forcing generates new near unperturbed one with its shape and periodicity. Thus, range extensions for which controlled oscillations substitute oscillations. identify attractors by their largest Lyapunov exponents.
In parameter space of nonlinear dynamical systems, windows periodic states are aligned following routes period-adding configuring window sequences. state driven oscillators, we determine the torsion associated with and identify regions uniform in Moreover, find that measured differs by a constant between successive We call this phenomenon as torsion-adding. Finally, combining period adding rules, deduce general rule to obtain asymptotic winding number accumulation limit such
The tapping mode is one of the mostly employed techniques in atomic force microscopy due to its accurate imaging quality for a wide variety surfaces. However, chaotic microcantilever motion impairs obtention images from sample In order investigate problem microscope modeled and identified range parameter's values. Additionally, attempting prevent motion, two control are implemented: optimal linear feedback time-delayed control. simulation results show feasibility chaos microscopy.
This article was written to students of mathematics, physics and engineering. In general, the word chaos may refer any state confusion or disorder it also mythology philosophy. science mathematics is understood as irregular behavior sensitive initial conditions. this we analyze deterministic theory, a branch that deals with dynamical systems (nonlinear differential equations mappings) very peculiar properties. Fundamental concepts theory are briefly analyzed some illustrative examples...
The authors numerically investigate basins of attraction coexisting periodic and chaotic attrac tors in a gear-rattling impact model. These attractors are strongly dependent on small changes the initial conditions. Gradually varying control parameter, size these is modified by global bifurcations their boundaries. Moreover, topology also appearance or disappearance attractors. Furthermore, for considered parameter range, frac tal basin boundaries so interleaved that trajectories practically...