Results 241 to 250 of about 75,442 (259)

Estimation of bifurcation parameter of the period doubling sequence in solutions of the ressler system of equations

Radiophysics and Quantum Electronics, 1999
V. A. Dvinskikh, S. V. Frolov
exaly   +2 more sources

A universal sequence of period-doubling bifurcations of the forced oscillations of a pendulum

Journal of Applied Mathematics and Mechanics, 1989
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Gulyaev, V. I., Zubritskaya, A. L., Koshkin, V. L.   +2 more
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A Sequence of Period Doublings and Chaotic Pulsations in a Free Boundary Problem Modeling Thermal Instabilities

SIAM Journal on Applied Mathematics, 1994
Summary: A simplified one-sided model associated with combustion and some phase transitions has been solved numerically. The results show a transition from the basic uniform motion of the free boundary to chaotic pulsations via periodic oscillations and a clearly manifested sequence of period doublings.
Michael L. Frankel, Victor Roytburd, Gregory I. Sivashinsky   +2 more
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Scaling for period doubling sequences with correlated noise

Journal of Physics A: Mathematical and General, 1987
The scaling behaviour of the period doubling sequences, perturbed by correlated noises, is investigated using a renormalisation group. The renormalisation transformation is achieved by a path integral formalism which allows a necessary generalisation of the random perturbation notion. For a stationary and weakly correlated (in a sense specified in this
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A large class of binary ZCZ sequence families constructed by period doubling

Journal of Electronics (China), 2007
In an Approximately Synchronized Code Division Multiple Access (AS-CDMA) communication system, a family with large number of Zero Correlation Zone (ZCZ) sequences is desired, which can satisfy the rapid increase of users. This paper presents a method to generate a (2L, 2M, Z′cz)-ZCZ sequence family from an original (L, M, Zcz)-ZCZ sequence family ...
Jinsong Wang, Wenfeng Qi
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Observation of a period-doubling sequence in a nonlinear optical fiber ring cavity near zero dispersion

Optics Communications, 1994
Abstract The dynamics of a ring cavity containing an optical fiber are reexamined. A train of picosecond pulses from an additive pulses mode-locked laser synchronously drives the system. The fiber introduces a fast Kerr-type nonlinearity and limits the cavity to a single transverse mode. The experiment is performed near the zero dispersion wavelength
G. Steinmeyer, D. Jaspert, F. Mitschke
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Universal relation of a band-splitting sequence to a preceding period-doubling one

Physics Letters A, 1981
Abstract Based on a theory for mappings of the form x n +1 = F ( x n , r ) developed previously by the author, we explain the numerically observed fact that band-splitting transition points r k convergence to r c at the same rate as period-doubling bifurcation points r k , where r c ≡ lim r k , and moreover show that ...
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A simpler derivation of Feigenbaum’s renormalization group equation for the period-doubling bifurcation sequence

American Journal of Physics, 1999
One interesting and important property of nonlinear dynamical systems is that they can exhibit universality—behavior that is quantitatively identical for a broad class of systems. The first and most famous example of universality in a dynamical system was identified by Feigenbaum [M. J. Feigenbaum, J. Stat. Phys.
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On the existence of infinite period-doubling sequences in a class of 4D semi-symplectic mappings

Journal of Physics A: Mathematical and General, 1991
Let \(F: D\to D\), \(D\subset \mathbb{R}^{2n}\) be a differentiable mapping. \(F\) is called semi-symplectic if \(\hbox{det} DF(x) > 0\) for \(x\in D\), and there exists a constant \(b>0\) such that \(DF(x)^ TJDF(x)=bJ\) for all \(x\in D\) and a \(2n\times 2n\) real matrix \(J\) such that \(J^ 2=-1\) and \(J^ T=-J\).
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Subharmonic Sequences in the Faraday Experiment: Departures from Period Doubling

Physical Review Letters, 1981
R. Keolian, L. A. Turkevich, S. J. Putterman, I. Rudnick, J. A. Rudnick   +4 more
openaire   +1 more source