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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convexity, Uniqueness, and Stability of the Regular Shock Reflection-diffraction Problem
规则冲击 反射衍射问题 凸性 唯一性 稳定性
2023/4/17
We will talk about our recent results on the convexity, uniqueness, and stability of regular reflection solutions for the potential flow equation in a natural class of self-similar solutions. The appr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Survey of Stability of Peaked Solitons II: Multicomponent Case
峰值孤子 稳定性 多组分案例
2023/4/27
Peaked soliton dynamics is one of the most intriguing features of the Camassa-Holm-type integrable equations. In this talk, I will give a review on the issue of the stability of peaked solitons, inclu...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Survey of Stability of Peaked Solitons I: Scalar Case
峰值孤子 稳定性 标量案例
2023/4/27
Peaked soliton dynamics is one of the most intriguing features of the Camassa-Holm-type integrable equations. In this talk, I will give a review on the issue of the stability of peaked solitons, inclu...
CALIBRATION AND STABILITY ANALYSIS OF THE VLP-16 LASER SCANNER
Velodyne Stability Calibration LiDAR
2016/3/25
We report on a calibration and stability analysis of the Velodyne VLP-16 LiDAR scanner. The sensor is evaluated for long-term stability, geometric calibration and the effect of temperature variations....
Stability analysis for pitchfork bifurcations of solitary waves in generalized nonlinear Schroedinger equations
Stability analysis pitchfork bifurcations of solitary waves generalized nonlinear Schroedinger equations Optics
2012/4/26
Linear stability of both sign-definite (positive) and sign-indefinite solitary waves near pitchfork bifurcations is analyzed for the generalized nonlinear Schroedinger equations with arbitrary forms o...
Solitary waves and their stability in colloidal media: semi-analytical solutions
colloid solitary wave modulation theory stability bifurcation
2012/4/20
Spatial solitary waves in colloidal suspensions of spherical dielectric nanoparticles are considered. The interaction of the nanoparticles is modelled as a hard-sphere gas, with the Carnahan-Starling ...
Solitary waves and their linear stability in nonlinear lattices
Solitary waves their linear stability nonlinear lattices Pattern Formation and Solitons
2011/8/2
Abstract: Solitary waves in a general nonlinear lattice are discussed, employing as a model the nonlinear Schr\"odinger equation with a spatially periodic nonlinear coefficient. An asymptotic theory i...
A refined empirical stability criterion for nonlinear Schroedinger solitons under spatiotemporal forcing
Schroedinger solitons
2011/9/29
We investigate the dynamics of travelling oscillating solitons of the cubic NLS equation under an external spatiotemporal forcing of the form f(x, t) = a exp[iK(t)x].For the case of time-independent f...
Trajectories and Stability Regions of the Lagrangian Point $L_1$ in the Generalized Chermnykh-Like Problem
Trajectories $L_1$ Chermnykh-Like Problem
2010/4/6
The Lagrange point $L_1$ for the Sun-Earth system is considered due to its special importance for the scientific community for the design of space missions. The location of the Lagrangian points with ...
KEKB Beam Collision Stability at the Picosecond Timing and Micron Position Resolution as observed with the Belle Detector
beam axis SuperKEKB collider beam train
2010/3/15
Using the Belle detector we study the characteristics of beam collisions at the KEKB 3.5 GeV $e^+$ on 8 GeV $e^-$ asymmetric energy collider. We investigate the collision timing {\tip} and its $z$-coo...
Energy localization on q-tori, long term stability and the interpretation of FPU recurrences
q-tori long term stability
2010/4/6
We focus on two approaches that have been proposed in recent years for the explanation of the so-called FPU paradox, i.e. the persistence of energy localization in the `low-q' Fourier modes of Fermi-P...
In this work we have used the Viril theorem to investigate the dynamical stability of Hickson compact groups of galaxies. The average luminous mass of the galaxies member is approximately 1.3 \times 0...