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Period doubling in coupled maps

Physical Review E, 1993
Using a renormalization method, we study the critical behavior of period doubling in two coupled one-dimensional (1D) maps. We find three kinds of fixed maps of the period-doubling renormalization operator. Each of the fixed maps has a common relevant eigenvalue associated with scaling of the nonlinearity parameter of the uncoupled 1D map. However, the
, Kim, , Kook
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Cascade of period doublings of tori

Physics Letters A, 1983
no ...
Arneodo, A.   +2 more
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Periodic perturbation on a period-doubling system

Physical Review A, 1983
The effect of a periodic perturbation on a nonlinear dynamic system undergoing a sequence of period doublings is investigated. The results obtained from linear response theory and from numerical calculations resemble the observations made by Giglio et al. on Rayleigh-Benard convection.
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Period doubling in a periodically forced Belousov-Zhabotinsky reaction

Physical Review E, 2007
Using an open-flow reactor periodically perturbed with light, we observe subharmonic frequency locking of the oscillatory Belousov-Zhabotinsky chemical reaction at one-sixth the forcing frequency (6:1) over a region of the parameter space of forcing intensity and forcing frequency where the Farey sequence dictates we should observe one-third the ...
Bradley, Marts   +3 more
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Subharmonic Hysteresis and Period Doubling Bifurcations for a Periodically Driven Laser

SIAM Journal on Applied Mathematics, 1994
Summary: The authors consider the laser rate equations for a periodically modulated class \(B\) laser. The bifurcation diagram of the periodic solutions is analyzed both numerically and theoretically. The bifurcation parameter is the amplitude of the periodic modulations.
Ira B. Schwartz, Thomas Erneux
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Chaotic behavior and period doubling in plasmas

Physical Review Letters, 1987
We report the first experimental observation of chaotic behavior and period doubling in a pulsed plasma discharge sensitive to initial and boundary conditions. The Feigenbaum constants have been measured experimentally in one of the observed chaotic discharge routes.
, Cheung, , Wong
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Period doubling in dissipative quantum systems

Physical Review Letters, 1987
A comment on the letter by H. A. Cerdeira, K. Furuya, and B. A. Huberman, Phys. Rev. Lett. 61, 2511 (1988).
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Border-collision period-doubling scenario

Physical Review E, 2004
Using a one-dimensional dynamical system, representing a Poincaré return map for dynamical systems of the Lorenz type, we investigate the border-collision period-doubling bifurcation scenario. In contrast to the classical period-doubling scenario, this scenario is formed by a sequence of pairs of bifurcations, whereby each pair consists of a border ...
Avrutin, V., Schanz, M.
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Diffusion-driven period-doubling bifurcations

Biosystems, 1989
Discrete-time growth-dispersal models readily exhibit diffusive instability. In some instances, this diffusive instability parallels that found in continuous-time reaction-diffusion equations. However, if a sufficiently eruptive prey is held in check by a predator, predator overdispersal may also lead to one or a series of diffusion-driven period ...
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