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Oscillation death in coupled oscillators
Frontiers of Physics in China, 2009We study dynamical behaviors in coupled nonlinear oscillators and find that under certain conditions, a whole coupled oscillator system can cease oscillation and transfer to a globally nonuniform stationary state [i.e., the so-called oscillation death (OD) state], and this phenomenon can be generally observed.
Zou, W., Wang, X.-G., Zhao, Q., Zhan, M.
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Oscillation death in asymmetrically delay-coupled oscillators
Physical Review E, 2012Symmetrically coupled oscillators represent a limiting case for studying the dynamics of natural systems. Therefore, we here investigate the effect of coupling asymmetry on delay-induced oscillation death (OD) in coupled nonlinear oscillators. It is found that the asymmetrical coupling substantially enlarges the domain of the OD island in the parameter
Zou, W., Tang, Y., Li, L., Kurths, J.
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1998
We have thus far learned a great deal about chemical oscillators, but, except in Chapter 9, where we looked at the effects of external fields, our oscillatory systems have been treated as isolated. In fact, mathematicians, physicists, and biologists are much more likely than are chemists to have encountered and thought about oscillators that interact ...
Irving R. Epstein, John A. Pojman
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We have thus far learned a great deal about chemical oscillators, but, except in Chapter 9, where we looked at the effects of external fields, our oscillatory systems have been treated as isolated. In fact, mathematicians, physicists, and biologists are much more likely than are chemists to have encountered and thought about oscillators that interact ...
Irving R. Epstein, John A. Pojman
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Oscillator death induced by amplitude-dependent coupling in repulsively coupled oscillators
Physical Review E, 2015The effects of amplitude-dependent coupling on oscillator death (OD) are investigated for two repulsively coupled Lorenz oscillators. Based on numerical simulations, it is shown that as constraint strengths on the amplitude-dependent coupling change, an oscillatory state may undergo a transition to an OD state.
Liu, W. +5 more
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Coupled Parametric Oscillators
2023AbstractIn this chapter, we combine the parametric oscillator, force noise, and linear coupling to study coupled parametric oscillators. Depending on the strength of the parametric pump (below or above threshold) and on the intensity of the coupling (weak or strong), we find different phenomena, such as normal-mode squeezing, parametric symmetry ...
Alexander Eichler, Oded Zilberberg
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Journal of the Physical Society of Japan, 1985
Two coupled dynamical systems which both behave chaotically without coupling are studied. The coupling is linear. We show that the coupled system can behave regularly.
A. Kunick, W.-H. Steeb
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Two coupled dynamical systems which both behave chaotically without coupling are studied. The coupling is linear. We show that the coupled system can behave regularly.
A. Kunick, W.-H. Steeb
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Isotropic time-dependent coupled oscillators
Physical Review A, 1987The problem of a two-dimensional anisotropic oscillator coupled through a complex parameter that oscillates at the frequency \ensuremath{\omega} is considered. The treatment has been applied to the case when \ensuremath{\omega} is not equal to the frequency difference of the oscillators.
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Physica D: Nonlinear Phenomena, 1987
The authors study the behavior of the two thermal loops which may be treated as two Lorenz oscillators. Each loop is identical heated externally and communicates with the other at a single contact point through heat transfer (the loops are not coupled hydrodynamically).
Davis, Stephen H., Roppo, Michael N.
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The authors study the behavior of the two thermal loops which may be treated as two Lorenz oscillators. Each loop is identical heated externally and communicates with the other at a single contact point through heat transfer (the loops are not coupled hydrodynamically).
Davis, Stephen H., Roppo, Michael N.
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Hydrodynamically coupled oscillators
Journal of Fluid Mechanics, 2011A submerged spring–mass ring is analysed as a simple model for the way in which an underwater swimmer couples its body deformations to the surrounding fluid in order to accomplish locomotion. We adopt an inviscid, incompressible, irrotational assumption for the surrounding fluid and analyse the coupling response to various modes of excitation of the ...
Tiron, R., Kanso, E., Newton, P. K.
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