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International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 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.
Y Charles Li
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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.
Y Charles Li
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Generation and Intelligent Synchronization of Photonic Millimeter-Wave Chaos
Journal of Lightwave TechnologyMillimeter-wave (mmWave) band above 100 GHz has been widely analyzed in recent years, attributed to its potential for ultrafast wireless communications and high precision radar target detection.
Lu Zhang +2 more
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Wave chaos in singular quantum billiard
Physical Review Letters, 1990Summary: We present a solvable singular quantum billiard which displays fully developed wave chaos. Its level statistics is investigated and proved to coincide with predictions of the Gaussian orthogonal ensemble of random matrices. The corresponding wave functions are shown to be well approximated by a Gaussian ransom variable.
Petr Šeba
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Wave chaos in acoustics and elasticity
Journal of Physics A: Mathematical and Theoretical, 2007Interpreting wave phenomena in terms of an underlying ray dynamics adds a new dimension to the analysis of linear wave equations. Forming explicit connections between spectra and wavefunctions on the one hand and the properties of a related ray dynamics on the other hand is a comparatively new research area, especially in elasticity and acoustics.
Gregor Tanner, Niels Søndergaard
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From Traveling Waves to Chaos in Combustion
SIAM Journal on Applied Mathematics, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alvin Bayliss, Bernard J. Matkowsky
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SYNCHRONIZATION OF CHAOS AND THE TRANSITION TO WAVE TURBULENCE
International Journal of Bifurcation and Chaos, 2012We investigated the transition to wave turbulence in a spatially extended three-wave interacting model, where a spatially homogeneous state undergoing chaotic dynamics undergoes spatial mode excitation. The transition to this weakly turbulent state can be regarded as the loss of synchronization of chaos of mode oscillators describing the spatial ...
Ricardo Luiz Viana +3 more
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Traveling waves and chaos in thermosolutal convection
Physical Review A, 1987Numerical 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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Genuine electromagnetic wave chaos
Physical Review E, 1995The 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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Controlling chaos in spin-wave instabilities
Physical Review Letters, 1991A 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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