Finite-time synchronization of tunnel-diode-based chaotic oscillators

This paper addresses the problem of finite-time synchronization of tunnel diode based chaotic oscillators. After a brief investigation of its chaotic dynamics, we propose an active adaptive feedback coupling which accomplishes the synchronization of tunnel-diode-based chaotic systems with and without the presence of delay(s), basing ourselves on Lyapunov and on Krasovskii-Lyapunov stability theories. This feedback coupling could be applied to many other chaotic systems. A finite horizon can be arbitrarily established by ensuring that chaos synchronization is achieved at a pre-established time. An advantage of the proposed feedback coupling is that it is simple and easy to implement. Both mathematical investigations and numerical simulations followed by PSPICE experiment are presented to show the feasibility of the proposed method.

Finite time blow-up and breaking of solitary wind waves

The evolution of surface water waves in finite depth under wind forcing is reduced to an antidissipative Korteweg-de Vries-Burgers equation. We exhibit its solitary wave solution. Antidissipation accelerates and increases the amplitude of the solitary wave and leads to blow-up and breaking. Blow-up occurs in finite time for infinitely large asymptotic space so it is a nonlinear, dispersive, and antidissipative equivalent of the linear instability which occurs for infinite time. Due to antidissipation two given arbitrary and adjacent planes of constant phases of the solitary wave acquire different velocities and accelerations inducing breaking. Soliton breaking occurs in finite space in a time prior to the blow-up. We show that the theoretical growth in amplitude and the time of breaking are both testable in an existing experimental facility.

Escape through a time-dependent hole in the doubling map

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Wide vector solitons in systems with time- and space-modulated nonlinearities

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

As crônicas do Inca Garcilaso de La Vega: um discurso de legitimação

A literatura latino-americana está marcada pela heterogeneidade existente na América Latina, e a crônica é considerada o início desta heterogeneidade, devido ao fato de narrar um mundo desconhecido a leitores que fazem parte de outra realidade, gerando assim, uma situação de conflito. Os relatos escritos das civilizações andinas, em sua maioria, são de cronistas espanhóis, no entanto, também nos deparamos com alguns cronistas “índios” e mestiços, como o Inca Garcilaso de la Vega. Ele se destaca não somente por representar esta pequena parcela, ou seja, por ser um mestiço, mas, principalmente por ser herdeiro de duas nobrezas: a nobreza espanhola e a nobreza incaica. O cronista Inca Garcilaso era filho do capitão espanhol Garcilaso de la Vega, que possuía uma família que se destacava na guerra e na literatura; e de Chimpu Ocllo, uma princesa Inca, neta do Imperador Túpac Inca Yupanqui. Porém, este privilégio em relação aos outros mestiços, não lhe garantia o reconhecimento como nobre diante da coroa espanhola. Por isso, veremos neste trabalho que um dos seus intuitos ao escrever as crônicas Comentarios Reales de los Incas e Historia General del Perú, era o de tentar legitimar o seu status social diante dos espanhóis por meio de relatos que descrevem todos os feitos e avanços dos Incas, bem como afirmar, como uma de suas justificativas, que a colonização foi aceita pelos indígenas e estes estavam aptos à catequização, sendo uma maneira do Rei da Espanha e a Igreja Católica “salvarem” este povo da barbárie. Desta maneira, o Inca Garcilaso cria um discurso contraditório, pois, ao mesmo tempo que defende os espanhóis, ele glorifica o Império Inca

Estabilidade oclusal a longo prazo de Classe II, divisão 1, após tratamento com extração de pré-molares

Patients are looking for esthetic and functional changes when seeking orthodontic treatment and expect the remaining of a stable occlusion. Occlusion stability is one of the goals of the orthodontist; however, dental relationships changes in long-term can occur leading to a relapse of the treatment. Teeth and shape of arches tend to return to the original form, been the retention phase important after the appliance removal, even after several years of post-treatment. This article approaches a submission of a clinical case of Class II division 1 treated with extraction of premolars analyzing its long-term stability.

Molecular model for hydrated biological tissues

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Global ballistic acceleration in a bouncing-ball model

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Management Impacts on Soil Organic Matter of Tropical Soils

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Wide localized solutions of the parity-time-symmetric nonautonomous nonlinear Schrodinger equation

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Two-dimensional nonlinear map characterized by tunable Levy flights

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Nasal, oral and rectal microbiota of Black lion tamarins (Leontopithecus chrysopygus)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Yang-Lee zeros of the two- and three-state Potts model defined on π3 Feynman diagrams

We present both analytical and numerical results on the position of partition function zeros on the complex magnetic field plane of the q=2 state (Ising) and the q=3 state Potts model defined on phi(3) Feynman diagrams (thin random graphs). Our analytic results are based on the ideas of destructive interference of coexisting phases and low temperature expansions. For the case of the Ising model, an argument based on a symmetry of the saddle point equations leads us to a nonperturbative proof that the Yang-Lee zeros are located on the unit circle, although no circle theorem is known in this case of random graphs. For the q=3 state Potts model, our perturbative results indicate that the Yang-Lee zeros lie outside the unit circle. Both analytic results are confirmed by finite lattice numerical calculations.

The presence of the NOS3 gene polymorphism for intron 4 mitigates the beneficial effects of exercise training on ambulatory blood pressure monitoring in adults

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)