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A short review of phase transition in a chaotic system
(European Physical Journal: Special Topics, 2021) [Resenha]The subject approached here is a dynamical phase transition observed in Hamiltonian systems, which is a transition from integrability to nonintegrability. Using the dynamics defined by a discrete mapping on the variables ... 
Introduction to Billiard Dynamics
(Nonlinear Physical Science, 2021) [Capítulo de livro]We discuss in this chapter the elementary concepts of billiards. In a billiard, a particle or in an equivalent way an ensemble of noninteracting particles move freely along a closed boundary to where they collide. The ... 
Preface
(Nonlinear Physical Science, 2021) [Editorial] 
The LogisticLike Map
(Nonlinear Physical Science, 2021) [Capítulo de livro]This chapter is dedicated to discuss some dynamical properties of a generalized version of the logistic map called as logisticlike map. The fixed points and their stability are discussed as well as the convergence to the ... 
OneDimensional Mappings
(Nonlinear Physical Science, 2021) [Capítulo de livro]This chapter is dedicated to the concept of discrete mappings. We show that applications of the discrete mappings come from the idea of surface of section also called as Poincaré section. We briefly discuss how to obtain ... 
Some Dynamical Properties for the Logistic Map
(Nonlinear Physical Science, 2021) [Capítulo de livro]Some dynamical properties for the logistic map will be discussed in this chapter. We start with the convergence to the fixed point at and near at the bifurcations. We use a set of scaling hypotheses and a homogeneous and ... 
Scaling on a Dissipative Standard Mapping
(Nonlinear Physical Science, 2021) [Capítulo de livro]We discuss in this chapter the scaling invariance for chaotic orbits near a transition from unlimited to limited diffusion in a dissipative standard mapping, which is explained via the analytical solution of the diffusion ... 
Chaotic Diffusion in NonDissipative Mappings
(Nonlinear Physical Science, 2021) [Capítulo de livro]We discuss in this Chapter three different procedures to investigate the chaotic diffusion for a family of discrete mappings. The first of them involves a phenomenological investigation obtained from scaling hypotheses ... 
Dissipation in the FermiUlam Model
(Nonlinear Physical Science, 2021) [Capítulo de livro]We discuss in this chapter some dynamical properties for the FermiUlam model under different dissipative forces. The first type considered is through inelastic collisions that is when the particle has a fractional loss ... 
Suppression of Fermi Acceleration in the Oval Billiard
(Nonlinear Physical Science, 2021) [Capítulo de livro]We consider in this chapter the introduction of drag force in the oval billiard. As we have seen in Chap. 13 from the LRA conjecture, the chaotic dynamics in the static billiard is a sufficient condition to produce unlimited ... 
A Fermi Accelerator Model
(Nonlinear Physical Science, 2021) [Capítulo de livro]In the earlier chapter we discussed the concepts of two dimensional mappings. This chapter is dedicated to the investigation of the Fermi accelerator model, also called as FermiUlam model, which is made via a twodimensional ... 
Scaling Laws in Dynamical Systems
(Nonlinear Physical Science, 2021) [Capítulo de livro] 
Time Dependent Billiards
(Nonlinear Physical Science, 2021) [Capítulo de livro]We discuss in this chapter some dynamical properties for time dependent billiards. We construct the equations of the mapping that describe the dynamics of the particles considering that the velocity of the particle is given ... 
Introduction to Two Dimensional Mappings
(Nonlinear Physical Science, 2021) [Capítulo de livro]This chapter is dedicated to the introduction of two dimensional mappings. We start with a discussion of two dimensional linear mappings obtaining their fixed points and discussing their stability. Then we introduce two ... 
Dynamical Properties for a Bouncer Model
(Nonlinear Physical Science, 2021) [Capítulo de livro]This chapter is devoted to discuss some dynamical properties for an alternative version of the FermiUlam model. The mechanism of reinjection of the particle for a further collision is no longer made by a fixed wall but ... 
Introduction
(Nonlinear Physical Science, 2021) [Capítulo de livro]The aim of this chapter is to present a short discussion on the fundamental concepts treated along the book and commonly used in the investigation of nonlinear dynamical systems. 
A Thermodynamic Model for Time Dependent Billiards
(Nonlinear Physical Science, 2021) [Capítulo de livro]This chapter is dedicated to discuss some thermodynamic properties for a set of particles moving confined to a time dependent oval billiard. Two approaches are considered. One of them uses the heat transfer, well described ... 
Localization of Invariant Spanning Curves
(Nonlinear Physical Science, 2021) [Capítulo de livro]We discuss in this chapter a procedure using a connection with the standard map to determine the localization of the first invariant spanning curve above of the chaotic sea. The idea is to use a transition from local to ... 
Atividade física, qualidade de vida e medicamentos em idosos: Diferenças entre idade e gênero
(Revista Brasileira de Cineantropometria e Desempenho Humano, 2009) [Artigo]Studies have shown an inverse relationship between physical activity level (PAL), quality of life (QoL) and use of medications in the elderly. The objective of this study was to analyze possible relationships and differences ... 
Role of nonperturbative field configurations in phase transitions
(Physical Review D, 1986) [Resenha]We analyze the importance of nonperturbative field configurations for phase transitions in field theory at finite temperatures. We show, by analyzing different approaches used to investigate this problem, that some of these ...