On the soliton solutions for an intrinsic fractional discrete nonlinear electrical transmission line
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-021-06300-x
Abstract: This paper focuses on finding soliton solutions for an intrinsic fractional discrete nonlinear electrical transmission lattice. Our investigation is based on the fact that for a realistic system, the electrical characteristics of a capacitor (and… read more here.
Keywords: soliton solutions; intrinsic fractional; solutions intrinsic; discrete nonlinear ... See more keywords
Exponential Stabilization of Discrete Nonlinear Time-Varying Systems
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DOI: 10.1016/j.ifacol.2020.12.599
Abstract: Abstract We consider a discrete nonlinear control time-varying system x(k + 1) = f(k, x(k), u(k)), k ∈ ℕ, x ∈ ℝn, u ∈ ℝr. A control process of this system is a pair (x(k),… read more here.
Keywords: system; control; exponential stabilization; discrete nonlinear ... See more keywords
The closeness of localized structures between the Ablowitz–Ladik lattice and discrete nonlinear Schrödinger equations: Generalized AL and DNLS systems
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0072391
Abstract: The Ablowitz–Ladik system, being one of the few integrable nonlinear lattices, admits a wide class of analytical solutions, ranging from exact spatially localized solitons to rational solutions in the form of the spatiotemporally localized discrete… read more here.
Keywords: ablowitz ladik; discrete nonlinear; nonlinear schr; schr dinger ... See more keywords
Localized-wave interactions for the discrete nonlinear Schrödinger equation under the nonvanishing background
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DOI: 10.1088/1402-4896/aae213
Abstract: In this paper, localized-wave interactions under the nonvanishing background are studied through the Darboux transformation (DT) for the discrete nonlinear Schrodinger equation. First of all, via the elementary DT, we obtain the first-order breather solution… read more here.
Keywords: wave interactions; discrete nonlinear; localized wave; equation ... See more keywords
Localization transition in the discrete nonlinear Schrödinger equation: ensembles inequivalence and negative temperatures
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DOI: 10.1088/1742-5468/abda26
Abstract: We present a detailed account of a first-order localization transition in the discrete nonlinear Schrödinger equation, where the localized phase is associated to the high energy region in parameter space. We show that, due to… read more here.
Keywords: nonlinear schr; transition discrete; transition; localization transition ... See more keywords
Security Analysis of Discrete Nonlinear Systems With Injection Attacks Under Iterative Learning Schemes
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Systems, Man, and Cybernetics: Systems"
DOI: 10.1109/tsmc.2020.3010121
Abstract: In this study, the security problem of discrete nonlinear systems with injection attacks is discussed by designing two kinds of iterative learning schemes with the partial information and delay. The definitions of security and insecurity… read more here.
Keywords: injection; learning schemes; discrete nonlinear; iterative learning ... See more keywords
The global dynamics of a discrete nonlinear hierarchical population system
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Biomathematics"
DOI: 10.1142/s1793524519500220
Abstract: This paper is concerned with the global dynamics of a hierarchical population model, in which the fertility of an individual depends on the total number of higher-ranking members. We investigate the stability of equilibria, nonexistence… read more here.
Keywords: population; discrete nonlinear; global dynamics; dynamics discrete ... See more keywords
Variational Approaches for Lagrangian Discrete Nonlinear Systems
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DOI: 10.3390/math7030276
Abstract: In this paper, we study the multiple solutions for Lagrangian systems of discrete second-order boundary value systems involving the discrete p-Laplacian operator. The technical approaches are based on a local minimum theorem for differentiable functionals… read more here.
Keywords: approaches lagrangian; lagrangian discrete; discrete nonlinear; nonlinear systems ... See more keywords