Characterization of Faraday patterns and spatiotemporal chaos in parametrically driven dissipative systems

Reyes, L.I.; Pérez, L.M.; Pedraja-Rejas, L.; Díaz, P.; Mendoza, J.; Bragard, J.; Clerc, M.G.; Laroze, D.

doi:10.1016/j.chaos.2024.115244

Chaos, Solitons & Fractals

2024

DOI: 10.1016/j.chaos.2024.115244

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Characterization of Faraday patterns and spatiotemporal chaos in parametrically driven dissipative systems

L.I. Reyes,

L.M. Pérez,

L. Pedraja-Rejas

et al.

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2024

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Breather Bound States in a Parametrically Driven Magnetic Wire

Castro,

Ortega-Piwonka,

Malomed

et al. 2024

Symmetry

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We report the results of a systematic investigation of localized dynamical states in the model of a one-dimensional magnetic wire, which is based on the Landau–Lifshitz–Gilbert (LLG) equation. The dissipative term in the LLG equation is compensated by the parametric drive imposed by the external AC magnetic field, which is uniformly applied perpendicular to the rectilinear wire. The existence and stability of the localized states is studied in the plane of the relevant control parameters, namely, the amplitude of the driving term and the detuning of its frequency from the parametric resonance. With the help of systematically performed simulations of the LLG equation, the existence and stability areas are identified in the parameter plane for several species of the localized states: stationary single- and two-soliton modes, single and double breathers, drifting double breathers with spontaneously broken inner symmetry, and multisoliton complexes. Multistability occurs in this system. The breathers emit radiation waves (which explains their drift caused by the spontaneous symmetry breaking, as it breaks the balance between the recoil from the waves emitted to left and right), while the multisoliton complexes exhibit cycles of periodic transitions between three-, five-, and seven-soliton configurations. Dynamical characteristics of the localized states are systematically calculated too. These include, in particular, the average velocity of the asymmetric drifting modes, and the largest Lyapunov exponent, whose negative and positive values imply that the intrinsic dynamics of the respective modes is regular or chaotic, respectively.

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Breather Bound States in a Parametrically Driven Magnetic Wire

Castro,

Ortega-Piwonka,

Malomed

et al. 2024

Symmetry

View full text Add to dashboard Cite

show abstract

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Characterization of Faraday patterns and spatiotemporal chaos in parametrically driven dissipative systems

Cited by 1 publication

References 96 publications

Breather Bound States in a Parametrically Driven Magnetic Wire

Breather Bound States in a Parametrically Driven Magnetic Wire

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