Lyapunov Exponents
Mostrando 1-12 de 21 artigos, teses e dissertações.
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1. Energy harvesting through pendulum motion and DC generators
Abstract In this paper a mathematical model was found, and numerical results obtained for the pendulum behavior when coupled to a DC generator. A simple pendulum is vertically excited on its support and consequently exhibiting oscillations and rotations. The motion of the pendulum spins the axis of a DC generator and inducing a current. The dynamic model inv
Lat. Am. j. solids struct.. Publicado em: 18/02/2019
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2. Pattern Identification on the Nonlinear Radial Motion of an Oscillating Spherical Bubble Using Neural Networks
Abstract The main goal of this article is to study the oscillatory motion of a spherical gas bubble immersed in a Newtonian liquid subjected to a harmonic pressure excitation. We use the classical Rayleigh-Plesset equation to study the radial motion of the bubble undergoing a forcing acoustic pressure field. The second order nonlinear ordinary differential e
Lat. Am. j. solids struct.. Publicado em: 2016-12
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3. Irregular vibrations in multi-mass discrete-continuous systems torsionally deformed
In the paper irregular vibrations of discrete-continuous systems consisting of an arbitrary number rigid bodies connected by shafts torsionally deformed are studied. In the systems a local nonlinearity described by the polynomial of the third degree is introduced. It is assumed that the characteristic of the local nonlinearity is of a hard type. Governing eq
Lat. Am. j. solids struct.. Publicado em: 2013-01
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4. Estudo numérico da dinâmica de osciladores forçados no espaço de parâmetros / Numerical study of the dynamics of driven oscillators in the parameter spaces
Nesta dissertação estudamos a dinâmica dos osciladores forçados, via estudo do espaço (plano) de parâmetros. Para caracterizar o comportamento no espaço de parâmetros, usamos dois métodos: um que calcula somente o maior expoente de Lyapunov e o outro que calcula o espectro de Lyapunov. Os sistemas estudados nessa dissertação são: três osciladore
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 02/03/2012
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5. Diagramas de bifurcação para um oscilador de chua quadridimensional / Bifurcation diagrams for a four-dimensional chua oscilllator / Bifurcation diagrams for a four-dimensional chua oscilllator / Diagramas de bifurcação para um oscilador de chua quadridimensional
In this work, we numerically studied a four-dimensional Chua circuit model through bifurcation diagrams and parameter spaces. Our main objective here is to ex-tend the studies already realized in this system, showing a wider range of its behavior. For this purpose, we constructed the parameter spaces using the Lyapunov exponents spectrum through color scales
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 28/02/2012
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6. Estudo numérico das bifurcações do sistema regulador de Watt / Numerical study of bifurcations in the Watt governor system
Neste trabalho estudamos a auto-organização de estruturas periódicas no espaço de parâmetros do maior expoente de Lyapunov (diagramas de Lyapunov) em um modelo do sistema regulador deWatt. Uma organização hierárquica e cascatas de bifurcação por adição de período das estruturas periódicas são observadas e estas cascatas auto-organizadas se acu
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 26/07/2011
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7. Removing zero Lyapunov exponents
In an explicit family of partially hyperbolic diffeomorphisms of the torus T 3, Shub andWilkinson recently succeeded in perturbing the Lyapunov exponents of the center direction. We present here a local version of their argument, allowing one to perturb the center Lyapunov exponents of any partially hyperbolic system, in any dimension and with arbitrary dime
Publicado em: 2011
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8. Efeitos causados pela modulação de parâmetros no mapa de hénon / Effects caused by the parameters modulation in the hénon map
The Hénon map is a paradigmatic two-dimensional discrete-time dynamical system, which was originally proposed as a model to the Poincaré section of the continuous-time Lorenz system, and has been extensively investigated in the last years. Apart from its theoretical importance, some practical applications are possible. As an example, it can be used to mode
Publicado em: 2011
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9. Expoentes de Lyapunov e de Morse em fibrados flag / Lyapunov and Morse exponents in flag bundles
Nesta tese, estuda-se o crescimento exponencial de cociclos contínuos, a valores vetoriais, sobre o fibrado flag maximal. Tais cociclos estão intimamente ligados com os expoentes de Lyapunov clássicos e, assim, o teorema ergódigo multiplicativo de Oseledets é provado em um contexto de teoria de Lie semi-simples. Com isto, estabelece-se uma conexão entr
Publicado em: 2010
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10. Controle de caos e saltos entre atratores em um sistema com impactos / Control of caos and basin hopping in a system with impacts
For a mechanical system, described by the impact-pair model, we studied the control of chaos by a parametric perturbation and the basin-hopping phenomeno. For this nonintegrable system, we obtained numerically the evolution of its dynamical variables for a large set of initial conditions and control parameters. For this analysis, we used phase planes, Poinca
Publicado em: 2010
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11. A 3-D four-wing attractor and its analysis
In this paper, several three dimensional (3-D) four-wing smooth quadratic autonomous chaotic systems are analyzed. It is shown that these systems have a number of similar features. A new 3-D continuous autonomous system is proposed based on these features. The new system can generate a four-wing chaotic attractor with less terms in the system equations. Seve
Brazilian Journal of Physics. Publicado em: 2009-09
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12. ANALISE DA DINAMICA DE PARTICULAS BROWNIANAS INTERAGENTES A PARTIR DE REDES DE MAPAS ACOPLADOS
The Brownian motion is one important topic of the non-equilibrium statistical mechanics and it is related to many natural phenomena. The first observations and theories on this motion were essential for understand the microscopic behavior of the nature and its influence on macroscopics observables. In this dissertation, we studied the dynamics of a system co
Publicado em: 2009