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Controlling spin-wave chaos

Journal of Applied Physics, 1994
Microwave pumped spin-wave instabilities in YIG spheres were one of the first experimental systems used to demonstrate that chaos can be suppressed by small periodic modulations in an accessible system parameter. Here we show that the equations describing two interacting spin-wave modes account satisfactorily for the experimental results, as long as ...
S. M. Rezende   +2 more
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Genuine electromagnetic wave chaos

Physical Review E, 1995
The existence of genuine electromagnetic wave chaos is predicted. The prediction is based on a general nonlinear mechanism that destroys the superposition principle in case the electromagnetic field is allowed to interact dynamically with its boundary. Strong support for this prediction is derived from various model calculations.
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CHAOS IN WAVE INTERACTIONS

International Journal of Bifurcation and Chaos, 2007
Existence of chaos is proved in finite-dimensional invariant subspaces for both two- and three-wave interactions. For a simple Galerkin truncation of the 2D Navier–Stokes equation, existence of chaos is also proved.
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Chaos-induced intensification of wave scattering

Physical Review E, 2005
Sound-wave propagation in a strongly idealized model of the deep-water acoustic waveguide with a periodic range dependence is considered. It is investigated how the phenomenon of ray and wave chaos affects the sound scattering at a strong mesoscale inhomogeneity of the refractive index caused by the synoptic eddy.
I P, Smirnov   +3 more
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Controlling chaos in spin-wave instabilities

Physical Review Letters, 1991
A microwave-pumped spin-wave-instability experiment is used to demonstrate that chaos can be controlled by a small periodic perturbation of an available system parameter, as recently proposed by Ott, Grebogi, and Yorke. The experiment is performed in an yttrium-iron-garnet sphere in the subsidiary-resonance configuration with a small modulation in the ...
, Azevedo, , Rezende
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A possible plasma wave chaos

Physics of Fluids B: Plasma Physics, 1990
A model equation for the ionization wave (Duffing’s equation) is studied. The system shows chaotic behavior via an intermittent route to chaos. It is left for experimentalists to devise experiments to test the theoretical predictions.
Mitsuhiro Nambu, Tetsuji Kawabe
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Traveling waves and chaos in thermosolutal convection

Physical Review A, 1987
Numerical experiments on two-dimensional thermosolutal convection reveal oscillations in the form of traveling, standing, modulated, and chaotic waves. Transitions between these wave forms and steady convection are investigated and compared with theory.
, Deane, , Knobloch, , Toomre
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Controlling chaos in nonlinear three-wave coupling

Physical Review E, 1996
It is shown that the chaotic orbits in the saturated states of nonlinear three-wave coupling can be controlled by applying a new resonance, via a small sinusoidal anti-Stokes wave, to the system. For a given set of linear frequency mismatch and growth-damping parameters, any desired periodic orbit can be achieved by a proper adjustment of the amplitude
, Lopes, , Chian
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Spatiotemporal Chaos in Interfacial Waves

1991
Spatiotemporal chaos occurs in many hydrodynamic systems. This state is distinguished from temporal chaos by at least partial loss of coherence between different spatial regions, and from fully developed turbulence by the absence of a cascade. Several experimental and theoretical examples of spatiotemporal chaos are briefly reviewed.
Gollub, Jerry P., Ramshanker, R.
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From Traveling Waves to Chaos in Combustion

SIAM Journal on Applied Mathematics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bayliss, Alvin, Matkowsky, Bernard J.
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