Hopf Bifurcation
Mostrando 13-19 de 19 artigos, teses e dissertações.
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13. Bifurcações elementares em sistemas reversiveis
In this dissertation singularities of certain classes of vector fields in lRn are studied. The main goal is to study the behavior of the local dynamics around degenerate singularities. Normal forms, unfoldings and interactions between certain elementary bifurcations (saddle-node, transcritical, pitchfork and histeresis) and Hopf bifurcation are presented. Po
Publicado em: 2003
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14. Application of the center manifold theory to the study of slewing flexible Non-ideal structures with nonlinear curvature: a case study
In this paper is Analyzed the local dynamical behavior of a slewing flexible structure considering nonlinear curvature. The dynamics of the original (nonlinear) governing equations of motion are reduced to the center manifold in the neighborhood of an equilibrium solution with the purpose of locally study the stability of the system. In this critical point,
Journal of the Brazilian Society of Mechanical Sciences. Publicado em: 2002-07
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15. Existência e bifurcações de soluções periódicas da equação de Wright. / Existence and bifurcations of periodic solutions of the Wright s equations.
This work is concerned with periodicity in the Wright s equation. We prove the existence of nonconstant periodic solutions by exploiting the ejectivity concept in a theorem of fixed point. Furthemore, we prove the existence of an infinite sequence of Hopf Bifurcations.
Publicado em: 1999
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16. Physical basis of two-tone interference in hearing
The cochlea uses active amplification to capture faint sounds. It has been proposed that the amplifier comprises a set of self-tuned critical oscillators: each hair cell contains a force-generating dynamical system that is maintained at the threshold of an oscillatory instability, or Hopf bifurcation. While the active response to a pure tone provides frequen
The National Academy of Sciences.
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17. A model for amplification of hair-bundle motion by cyclical binding of Ca2+ to mechanoelectrical-transduction channels
Amplification of auditory stimuli by hair cells augments the sensitivity of the vertebrate inner ear. Cell-body contractions of outer hair cells are thought to mediate amplification in the mammalian cochlea. In vertebrates that lack these cells, and perhaps in mammals as well, active movements of hair bundles may underlie amplification. We have evaluated a m
The National Academy of Sciences.
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18. Active hair-bundle motility harnesses noise to operate near an optimum of mechanosensitivity
The ear relies on nonlinear amplification to enhance its sensitivity and frequency selectivity to oscillatory mechanical stimuli. It has been suggested that this active process results from the operation of dynamical systems that operate in the vicinity of an oscillatory instability, a Hopf bifurcation. In the bullfrog's sacculus, a hair cell can display spo
National Academy of Sciences.
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19. Compressive nonlinearity in the hair bundle's active response to mechanical stimulation
The auditory system's ability to interpret sounds over a wide range of amplitudes rests on the nonlinear responsiveness of the ear. Whether measured by basilar-membrane vibration, nerve-fiber activity, or perceived loudness, the ear is most sensitive to small signals and grows progressively less responsive as stimulation becomes stronger. Seeking a corr
The National Academy of Sciences.