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Cassandra: a voz de uma ideologia

Vinagre, Sandra Pereira

Tese de mestrado, Estudos Clássicos, Universidade de Lisboa, Faculdade de Letras, 2014 ; Não sendo o mito uma realidade petrificada no tempo, a plasticidade que o caracteriza permite que ele seja reaproveitado para se defenderem ou criticarem novos valores. Com a presente dissertação pretendemos mostrar como, nomeadamente a partir da peça Kassandra de Hans Schwarz, assistimos a uma reconfiguração do mito de Ca...


Quadratum

Melo, Helena Sousa; Vinagre, Sandra

Recreational Mathematics Colloquium III, Ponta Delgada, 3 a 6 de abril de 2013. ; Este resumo apresenta um novo jogo tridimensional que pode ser aplicado desde o 1.º ciclo do Ensino básico até outros níveis de ensino aplicando alguma variantes.


Contest "Um conto que contas"

Melo, Helena Sousa; Vinagre, Sandra

Recreational Mathematics Colloquium III, Ponta Delgada, 3 a 6 de abril de 2013. ; Este resumo apresenta o Concurso, a nível nacional, para alunos desde o 1. ciclo do ensino básico até ao ensino secundário em Portugal, de contos que envolvem conceitos matemáticos, trabalhando também a língua materna.


A recursive process related to a partizan variation of wythoff

Carvalho, Alda; Santos, Carlos P.; Dias, Cátia Lente; Coelho, Francisco; Neto, João Pedro; Vinagre, Sandra

Wythoff queens is a classical combinatorial game related to very interesting mathematical results. An amazing one is the fact that the P-positions are given by $(\lfloor \phi n, \phi^2 n \rfloor)$ and $(\lfloor \phi^2 n, \phi n \rfloor)$ where $\phi = \frac{1 + \sqrt{5}}{2}$. In this paper, we analyze a different version where one player (Left) plays with a chess bishop and the other (Right) plays with a chess ...


Evolution and distribution of the periodic critical values of iterated differen...

Correia, Maria de Fátima; Ramos, Carlos; Vinagre, Sandra

We consider the dynamical system (A,T), where A is a class of differentiable functions defined on some interval and T:A→A is the operator Tφ:=foφ, where f is a differentiable m-modal map. For the particular case of f being a topologically exact map we study the growth rate of critical points of the iterated functions. Considering functions in A whose critical values are periodic points for f, we analyze the evo...


SUBSTITUTION SYSTEMS ASSOCIATED WITH THE DYNAMICAL SYSTEM (A,Tf)

Correia, Maria de Fátima; Ramos, Carlos; Vinagre, Sandra

We consider the dynamical system (A,Tf), where A is a class of differentiable real functions defined on some interval and Tf:A→A is an operator Tf:=foφ, where f is a differentiable m-modal map. If we consider functions in A whose critical values are periodic points for f then, we show how to define and characterize a substitution system associated with (A,Tf). For these substitution systems, we compute the grow...


ITERATION OF DIFFERENTIABLE FUNCTIONS UNDER m-MODAL MAPS

Correia, Maria de Fátima; Ramos, Carlos; Vinagre, Sandra

We consider the dynamical system (A,T), where A is a class of differentiable real functions defined on some interval and T:A→A is an operator Tφ:= foφ, where f is a function on the real line. In this work we introduce and develop some techniques of symbolic dynamics for the dynamical system (A,T). We analyze in detail the case in which T arises from a differentiable m-modal map f. In this case we obtain a combi...


On the iteration of smooth maps

Correia, Maria de Fátima; Ramos, Carlos; Vinagre, Sandra

Iteration of smooth maps appears naturally in the study of continuous difference equations and boundary value problems. Moreover, it is a subject that may be studied by its own interest, generalizing the iteration theory for interval maps. Our study is motivated by the works of A. N. Sharkovsky et al. [1,3], E. Yu. Romanenko et al. [2], S. Vinagre et al. [4] and R. Severino et al. [5]. We study families of disc...


Difference Equations and Nonlinear Boundary Value Problems for Hyperbolic Systems

Sharkovsky, Alexander; Severino, Ricardo; Vinagre, Sandra

It is known that solutions of certain classes of linear hyperbolic systems with nonlinear boundary conditions and consistent initial conditions can be written via the iteration of a map of the interval. In this work we characterize the solutions of such problems, with a vortex as initial condition and the iteration of a bimodal map of the interval, using the bimodal topological invariants.


Kneading curves for Lozi maps

Baptista, Diogo; Severino, Ricardo; Vinagre, Sandra

We explore some analogy between unimodal tent maps of the interval and Lozi maps, defining the critical point and the kneading sequence of a Lozi map. Then, we show that the set of parameter plane curves corresponding to Lozi maps with some initial kneading sequence has a structure close to the tree of unimodal tent kneading sequences, introduced by Sousa Ramos.


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