Lyapunov Exponents
Mostrando 13-21 de 21 artigos, teses e dissertações.
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13. O problema de Hill em relatividade geral / Hill problem in general relativity
In this work the Hill problem dynamics is analyzed using two different approaches. In the first approach, still in the realm of Newtonian mechanics, we use potentials that reproduce General Relativity effects. We use the Paczynski-Wiita and one of the Artemova, Bj¨ornsson e Novikov (ABN) potentials. These potentials reproduce effects that arise in the conte
Publicado em: 2009
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14. Dynamic analysis of a cantilever beam excited by a non ideal source / Análise dinâmica de uma viga engastada excitada por uma fonte não ideal
Studies about the dynamic behaviour of nonlinear structures have been to this date subject of extensive research all around the world. Since the beginning of the development of the nonlinear oscillation theory one has tried to understand the basic mechanisms, like disruptions that would cause complex answers on flexible structures. This paper presents a theo
Publicado em: 2009
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15. Análise não-linear no reconhecimento de padrões sonoros : estudo de caso para sons pulmonares / Nonlinear analysis in sound pattern recognition: case study of lung sounds
Nas últimas décadas uma considerável parcela das pesquisas nas áreas de Física e Matemática tem sido dedicada ao estudo de fenômenos não lineares. Uma possível explicação para isso foi o rápido desenvolvimento de sistemas computacionais, tanto em nível de hardware quanta em nível de software, algoritmos e técnicas de programação que propicia
Publicado em: 2009
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16. Nonlinear experimental aeroelastic time series analysis / Análise de séries temporais aeroelásticas experimentais não lineares
A análise de sistemas dinâmicos não lineares pode ser baseada em séries obtidas de modelos matemáticos ou de experimentos. Modelos matemáticos para respostas aeroelásticas associadas ao estol dinâmico são muito difíceis de obter. Neste caso, experimentos e ensaios em vôo parecem fornecer uma base mais apropriada para a análise da dinâmica não l
Publicado em: 2008
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17. Scaling properties of the Fermi-Ulam accelerator model
The chaotic low energy region (chaotic sea) of the Fermi-Ulam accelerator model is discussed within a scaling framework near the integrable to non-integrable transition. Scaling results for the average quantities (velocity, roughness, energy etc.) of the simplified version of the model are reviewed and it is shown that, for small oscillation amplitude of the
Brazilian Journal of Physics. Publicado em: 2006-09
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18. Dinâmicas emergentes na família de memórias associativas bidirecionais caóticas e sua habilidade para saltar passos / Emergent dynamics in family of chaotic bidirectional associative memories and its ability to skip steps
In this thesis, a family of bidirectional associative memories (C-BAM family) is proposed, implemented and tested to extend the study of chaotic phenomenon in associative models. In the C-BAM model, all the original neurons of bidirectional associative memory (BAM), BAM with delay and exponenetial BAM (eBAM) were substituted for chaotic neurons. Based on the
Publicado em: 2006
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19. Simulating a chaotic process
Computer simulations of partial differential equations of mathematical physics typically lead to some kind of high-dimensional dynamical system. When there is chaotic behavior we are faced with fundamental dynamical difficulties. We choose as a paradigm of such high-dimensional system a kicked double rotor. This system is investigated for parameter values at
Brazilian Journal of Physics. Publicado em: 2005-03
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20. Estabilidade e caos ao redor de centros de atração deformados em gravitação
The behavior of test particles around a multipole deformed attraction center is studied. We find chaotic motions of particles in the field modeled by a monopolar plus a prolate quadrupole term for certain values of parameters. The general relativistic analogous is also studied by using the geodesic formalism in a geometry that represents a monopole (Schwarzc
Publicado em: 2001
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21. Controlling system dimension: A class of real systems that obey the Kaplan–Yorke conjecture
The Kaplan–Yorke conjecture suggests a simple relationship between the fractal dimension of a system and its Lyapunov spectrum. This relationship has important consequences in the broad field of nonlinear dynamics where dimension and Lyapunov exponents are frequently used descriptors of system dynamics. We develop an experimental system with controllable d
National Academy of Sciences.