Zobrazeno 1 - 10
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pro vyhledávání: '"Kevrekidis, PG"'
We explore a case example of networks of classical electronic oscillators evolving towards the solution of complex optimization problems. We show that when driven into subharmonic response, a network of such nonlinear electrical resonators can minimi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1787c4a161be9f7e77908dae6ce16b81
https://www.repository.cam.ac.uk/handle/1810/344850
https://www.repository.cam.ac.uk/handle/1810/344850
The nonlinear Schrödinger model is a prototypical dispersive wave equation that features finite time blowup, either for supercritical exponents (for fixed dimension) or for supercritical dimensions (for fixed nonlinearity exponent). Upon identifying
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b948a2c4733b5c05c8a3f4f8fee2b76
We report the computational discovery of complex, topologically charged, and spectrally stable states in three-dimensional multi-component nonlinear wave systems of nonlinear Schr{\"o}dinger type. While our computations relate to two-component atomic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7943d98601e28ee40da1eab13abf20f
Publikováno v:
Melvin, TRO, Champneys, AR, Kevrekidis, PG & Cuevas, J 2007 ' Travelling solitary waves in the discrete nonlinear Schrodinger equation with saturable nonlinearity: existence, stability and dynamics ' .
The present work examines in detail the existence, stability and dynamics of travelling solitary waves in dynamical lattices with saturable nonlinearity. After analszing the linear spectrum of the problem in the travelling wave frame, a pseudo-spectr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2642::ed8f2f4b1fa9cd1d72d25002555e8eaa
https://research-information.bristol.ac.uk/ws/files/3006055/satDNLS_Final.pdf
https://research-information.bristol.ac.uk/ws/files/3006055/satDNLS_Final.pdf
We study the existence and stability of bright, dark, and gap matter-wave solitons in optical superlattices. Then, using these properties, we show that (time-dependent) “dynamical superlattices” can be used to controllably place, guide, and manip
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https://explore.openaire.eu/search/publication?articleId=od______2127::726ad993540a35c725baf23256910d6e
https://pergamos.lib.uoa.gr/uoa/dl/object/uoadl:3099095
https://pergamos.lib.uoa.gr/uoa/dl/object/uoadl:3099095
The scalar field degree of freedom in Einstein’s plus matter field equations is decoupled for Bianchi type I and V general cosmological models. The source, apart from the minimally coupled scalar field with arbitrary potential V(Phi), is provided b
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https://explore.openaire.eu/search/publication?articleId=od______2127::f34b475491144f9c520678608d228ef3
https://pergamos.lib.uoa.gr/uoa/dl/object/uoadl:3099227
https://pergamos.lib.uoa.gr/uoa/dl/object/uoadl:3099227
We consider the effects of anisotropy on solitons of various types in two-dimensional nonlinear lattices, using the discrete nonlinear Schrodinger equation as a paradigm model. For fundamental solitons, we develop a variational approximation that pre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2127::3e0e72e9859e02cd51c5581df69ed3e4
https://pergamos.lib.uoa.gr/uoa/dl/object/uoadl:3097510
https://pergamos.lib.uoa.gr/uoa/dl/object/uoadl:3097510
We study the instability of the discrete vortex with topological charge S=2 in a prototypical lattice model and observe its mediation through the central lattice site. Motivated by this finding, we analyze the model with the central site being inert.
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https://explore.openaire.eu/search/publication?articleId=od______2127::f3f07222e61a8e65bb717c6b8926baab
https://pergamos.lib.uoa.gr/uoa/dl/object/uoadl:3096888
https://pergamos.lib.uoa.gr/uoa/dl/object/uoadl:3096888
We present a framework for studying vortex lattice patterns and their structural transitions, using the Parrinello-Rahman (PR) method for molecular-dynamics (MD) simulations. Assuming an interaction between vortices derived from a Ginzburg-Landau fie
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https://explore.openaire.eu/search/publication?articleId=od______2127::0ce3f190400900c032b78d183336469d
https://pergamos.lib.uoa.gr/uoa/dl/object/uoadl:3094303
https://pergamos.lib.uoa.gr/uoa/dl/object/uoadl:3094303
We report the first observation of stationary necklace-like solitons. Such necklace structures were realized when a high-order vortex beam was launched appropriately into a two-dimensional optically induced photonic lattice. Our theoretical results o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2127::a921afaeb2a64aa6a4fc78e0dc9d2fba
https://pergamos.lib.uoa.gr/uoa/dl/object/uoadl:3093644
https://pergamos.lib.uoa.gr/uoa/dl/object/uoadl:3093644