Published 1985
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Period doubling phenomenon in a class of time delay equations
Description
The properties of the solution of a nonlinear time delayed differential equation (infinite dimension) as function of two parameters: the time delay tau and another parameter A (nonlinearity) are investigated. After a Hopf bifurcation period doubling may occur and is characterized by Feigenbaum's delta. A strange atractor is obtained after the period doubling cascade and the largest Lyapunov exponent is calculated indicating that the attractor has low dimension. The behaviour of this Liapunov exponent as function of tau is different from its behaviour as function of A. (Author)
Availability note (English)
MF available from INIS under the Report Number.Abstract (Portuguese)
Investigam-se as propriedades das solucoes de uma equacao diferencial atrasada no tempo nao linear (dimensao infinita) como funcao de dois parametros: o atraso no tempo tau e outro parametro A (nao linearidade). Apos um periodo de bifurcacao de Hopf dobramento pode ocorrer e e caracterizado pelo delta de Feigenbaum. Obtem-se um atrator estranho apos o periodo de dobramento da cascata e o expoente de Lyapunov maior e calculado indicando que o atrator tem baixa dimensao. O comportamento desse expoente de Lyapunov como funcao de tau e diferente do seu comportamento como funcao de A. (L.C.)Files
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Additional details
Publishing Information
- Imprint Pagination
- 26 p.
- Report number
- IFUSP-P--531
INIS
- Country of Publication
- Brazil
- Country of Input or Organization
- Brazil
- INIS RN
- 17029003
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Numerical Data
- Descriptors DEI
- DIFFERENTIAL EQUATIONS; LYAPUNOV METHOD; NONLINEAR PROBLEMS; POPULATION DYNAMICS; POWER SERIES; THEORETICAL DATA; TIME DEPENDENCE
- Descriptors DEC
- DATA; EQUATIONS; INFORMATION; NUMERICAL DATA; SERIES EXPANSION