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We present a theory of resonances for a class of non-autonomous Hamiltonians to treat the structural instability of spatially localized and time-periodic solutions associated with an unperturbed autonomous Hamiltonian. The mechanism of…

chao-dyn · Physics 2009-10-31 A. Soffer , M. I. Weinstein

We consider instabilities of a single mode with finite wavenumber in inversion symmetric spatially one dimensional systems, where the character of the bifurcation changes from sub- to supercritical behaviour. Starting from a general…

patt-sol · Physics 2009-10-31 Wolfram Just , Frank Matthäus , Herwig Sauermann

The beam-ion interaction is a potential limitation of beam performance in electron accelerators, especially where the beam emittance is of a great concern in future ultra-low emittance light source. "Conventionally", the beam instability…

Accelerator Physics · Physics 2020-07-15 Chao Li , Saike Tian , Na Wang , Haisheng Xu

The well-known Jeans criterion describes the onset of instabilities in an infinite, homogeneous, self-gravitating medium supported by pressure. Most realistic astrophysical systems, however, are not isolated - instead they are under the…

Astrophysics of Galaxies · Physics 2015-06-16 Chanda J. Jog

The dynamics of an ensemble of bistable elements with global time-delayed coupling under the influence of noise is studied analytically and numerically. Depending on the noise level the system undergoes ordering transitions and demonstrates…

Statistical Mechanics · Physics 2009-11-10 D. Huber , L. S. Tsimring

Sufficient conditions for the wave instability in general three-component reaction-diffusion systems are derived. These conditions are expressed in terms of the Jacobian matrix of the uniform steady state of the system, and enable us to…

Pattern Formation and Solitons · Physics 2014-05-07 Shigefumi Hata , Hiroya Nakao , Alexander S. Mikhailov

Amplitude modulation of quantum ion-acoustic waves (QIAWs) in a quantum electron-pair-ion plasma is studied. It is shown that the quantum coupling parameter $H$ (being the ratio of the plasmonic energy density to the Fermi energy) is…

Plasma Physics · Physics 2011-02-24 A. P. Misra , N. K. Ghosh

The strongly nonlinear regime of Dyakonov-Shur instability is studied analytically and by computer simulations. The instability leads to high-amplitude stationary oscillations caused by shock wave formation in the FET channel. The…

Strongly Correlated Electrons · Physics 2009-11-07 M. V. Cheremisin

The instability of the interface between a dielectric and a conducting liquid, excited by a spatially homogeneous interface-normal time-periodic electric field, is studied based on experiments and theory. Special attention is paid to the…

Fluid Dynamics · Physics 2022-04-06 S. Dehe , M. Hartmann , A. Bandopadhyay , S. Hardt

We study the influence of ion beam and charged dust impurity on the propagation of dust ion-acoustic (DIA) solitary wave (SW) in an unmagnetized plasma consisting of Boltzmann distributed electrons, positive ions, positive ion beam and…

Plasma Physics · Physics 2012-10-05 M. K. Deka , N. C. Adhikary , A. P. Misra , H. Bailung , Y. Nakamura

The passage of an ion-acoustic solitary wave through the boundary between an electron-ion plasma and a negative ion plasma is considered. After the ion-acoustic solitary wave enters the region of another plasma, a disturbance arises, from…

Plasma Physics · Physics 2021-02-03 Yuri Medvedev

We study the effects of ion-dust collisions and ion kinematic viscosities on the linear ion-acoustic instability as well as the nonlinear propagation of small amplitude solitary waves and shocks (SWS) in a negative ion plasma with immobile…

Plasma Physics · Physics 2012-11-27 A. P. Misra , N. C. Adhikary , P. K. Shukla

The fast beam-ion instability (FII) is caused by the interaction of an electron bunch train with the residual gas ions. The ion oscillations in the potential well of the electron beam have an inherent frequency spread due to the nonlinear…

Accelerator Physics · Physics 2019-10-23 Gennady Stupakov

A theoretical investigation has been made to study the modulation stability/instability of three-dimensional dust-ion-acoustic wave packets in the warm magnetized complex plasma system in the presence of nonthermal distributed electrons and…

Plasma Physics · Physics 2023-06-12 A. Parvez , A. Mannan , M. N. Haque , A. A. Mamun

In this paper, we study the propagation and stability of nonlinear sound waves in accretion disks. Using the shearing box approximation, we derive the form of these waves using a semi-analytic approach and go on to study their stability.…

Astrophysics · Physics 2009-11-13 S. Fromang , J. Papaloizou

All solids, whether crystalline or disordered, support elastic wave propagation with a linear dispersion relation in the long-wavelength limit. These waves, corresponding to low-frequency phonons, feature a vibrational density of states…

Soft Condensed Matter · Physics 2026-05-07 Edan Lerner , Eran Bouchbinder

The stability of a rotating fluid disk to the formation of spiral arms is studied in the tightwinding approximation in the linear regime. The dispersion relation for spirals that was derived by Bertin et al. is shown to contain a new,…

Astrophysics · Physics 2009-10-31 L. E. Montenegro , C. Yuan , B. G. Elmegreen

When a beam propagates in an accelerator, it interacts with both the external fields and the self-generated electromagnetic fields. If the latter are strong enough, the interplay between them and a perturbation in the beam distribution…

Accelerator Physics · Physics 2016-01-21 G. Rumolo

A proper theoretical research has been carried out to explore the modulational instability (MI) conditions of dust-ion-acoustic (DIA) waves (DIAWs) in a three-component dusty plasma system containing inertialess $\kappa$-distributed…

Plasma Physics · Physics 2021-03-12 B. E. Sharmin , R. K. Shikha , N. K. Tamanna , N. A. Chowdhury , A. Mannan , A. A. Mamun

Discharge source is considered as modifier of flow hydrodynamic spectrum. Characteristic frequency of nonlinear spectrum and spectrum power were determined under conditions of arc sliding discharge in supersonic flow. Two stages of…

Chaotic Dynamics · Physics 2014-01-27 Sergey Kamenshchikov
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