Effects of chaotic perturbations on a nonlinear system undergoing two-soliton collisions

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dc.creatorCardoso, Wesley Bueno
dc.creatorAvelar, Ardiley Torres
dc.creatorBazeia Filho, Dionisio
dc.date.accessioned2023-11-28T14:17:13Z
dc.date.available2023-11-28T14:17:13Z
dc.date.issued2021
dc.description.abstractIn this work, we present a numerical study of two-soliton collisions in a system described by a cubic (Kerr-type) nonlinear Schrödinger equation whose nonlinearity has small chaotic imperfections. We use a logistic map in order to obtain a chaotic perturbation, where by defining the values of its seed and the interaction parameter, one can observe a disorder in the nonlinearity of the system. This disorder was varied by changing the parameter values and controlled via the Lyapunov exponent, however, always maintaining a fixed amplitude. We verified a direct relationship between the value of the Lyapunov coefficient and the formation of two-soliton bonded/unbonded states.
dc.identifier.citationCARDOSO, W. B.; AVELAR, A. T.; BAZEIA, D. Effects of chaotic perturbations on a nonlinear system undergoing two-soliton collisions. Nonlinear Dynamics, Berlin, v. 106, p. 3469-3477, 2021. DOI: 10.1007/s11071-021-06962-7. Disponível em: https://link.springer.com/article/10.1007/s11071-021-06962-7. Acesso em: 13 set. 2023.
dc.identifier.doi10.1007/s11071-021-06962-7
dc.identifier.issn0924-090X
dc.identifier.issne- 1573-269X
dc.identifier.urihttps://link.springer.com/article/10.1007/s11071-021-06962-7
dc.language.isoeng
dc.publisher.countryAlemanha
dc.publisher.departmentInstituto de Física - IF (RMG)
dc.rightsAcesso Restrito
dc.titleEffects of chaotic perturbations on a nonlinear system undergoing two-soliton collisions
dc.typeArtigo

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