Dynamical study of optical soliton solutions to the Lakshmanan-Porsezian-Daniel equation by using [Formula: see text]-model expansion approach. [PDF]
Alharthi MR +5 more
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A Two‐Stage Questionnaire and Actigraphy Screening for iRBD in a Multicenter Retrospective Cohort
ABSTRACT Objective Isolated rapid‐eye‐movement sleep behavior disorder is a prodromal marker of synucleinopathies. However, most cases remain undiagnosed due to the insufficient predictive value of questionnaires and limited access to confirmatory video‐polysomnography. We assessed a two‐stage screening strategy combining a brief questionnaire on rapid‐
Caleb A. Massimi +17 more
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Wave Propagation in a Periodically Layered Medium, Taking into Account the Effect of Microstructure Size: A Tolerance Modelling Method. [PDF]
Jędrysiak J.
europepmc +1 more source
Analytical construction of needle-type solitons in a M-fractional paraxial wave framework with dynamical analysis. [PDF]
Asghar U +3 more
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Coarse-Grained Simulations of Polyrotaxane Hydrogels under Quiescent and Shear Conditions. [PDF]
Smith CD, Zhang W.
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Static Analysis of Laminated Composite Plates with Periodic Curvature Using Reissner-Mindlin Plate Theory. [PDF]
Vardar O, Kutug Z, Erdolen A.
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Stability analysis and exploration of multiform soliton solutions for extended fractional NLS model using modified extended direct algebraic method. [PDF]
Soliman M +3 more
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On Periodic Solutions of the Periodic
Results in Mathematics, 1988By treating the periodic Riccati equation $${\rm\dot{z}=a(t)z^2+b(t)z+c(t)}$$ as a dynamical system on the sphere S, the number and stability of its periodic solutions are determined. Using properties of Moebius transformations, an exact algebraic relation is obtained between any periodic solution and any complex-valued periodic solution.
K. Y. Guan, J. Gunson, H. S. Hassan
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The existence of periodic solutions
1999Abstract Suppose that the phase diagram for a differential equation contains a single, unstable equilibrium point and a limit cycle surrounding it, as in the case of the van der Pol equation. Then in practice all initial states lead to the periodic oscillation represented by the limit cycle.
D W Jordan, P Smith
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Periodic Solutions of Hamiltonian Systems
SIAM Journal on Mathematical Analysis, 2000Summary: Two sequences of periodic solutions with large and small norms, respectively, are obtained for Hamiltonian systems of the type \[ -{\mathcal J}\dot{z}=\xi F_z(t,z)+\eta G_z(t,z), \] where \(F\) is superquadratic at \(z=\infty\) and \(G\) is subquadratic at \(z=0\).
Yanheng Ding, Cheng Lee
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