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A survey of symplectic 4-manifolds with b+ = 1。
A survey of symplectic 4-manifolds with b+ = 1。
Contact structures and foliations on 3-manifolds
3-manifolds Contact structures foliations
2010/3/17
Contact structures and foliations on 3-manifolds。
Quantifying Emergence in terms of Persistent Mutual Information
Persistent Mutual Information close times
2010/4/2
We define Persistent Mutual Information (PMI) as the Mutual (Shannon) Information between the past history of a system and its evolution significantly later in the future. This quantifies how much pas...
New explicit exact solutions for the Liénard equation and its applications
exact solutions Liénard equation Pochhammer-Chree equation
2010/4/2
In this letter, new exact explicit solutions are obtained for the Li\'enard equation, and the applications of the results to the generalized Pochhammer-Chree equation, the Kundu equation and the gener...
Hodograph solutions of the dispersionless coupled KdV hierarchies, critical points and the Euler-Poisson-Darboux equation
Hodograph solutions scalar function Euler-Poisson-Darboux equation
2010/4/2
It is shown that the hodograph solutions of the dispersionless coupled KdV (dcKdV) hierarchies describe critical and degenerate critical points of a scalar function which obeys the Euler-Poisson-Darbo...
The Non-linear Dynamics of Sociological Reflections
Non-linear Dynamics Sociological Reflections
2010/4/2
Actors are embedded in networks of communication: the relations of the actors can be represented as the rows of a matrix, while the column vectors represent their communications. The two systems are s...
One can study communications by using Shannon's (1948) mathematical theory of communication. In social communications, however, the channels are not "fixed", but themselves subject to change. Communic...
一些非传播孤立子实验和相关理论
参数激励系统 非传播周期波 非传播孤立波
2012/9/25
论述了流体和单摆链(格点体系) 的简单实验,并对流体和格点体系的实验做了相应的理论研究, 如对双原子格点的宏观模拟体系在4 种实验条件下给出了所有可能的周期波解的解析表达式, 且这些周期波解是 8 种非传播孤立波解的一般化, 其中有 5 种孤立波的模式已经在实验中被发现.
Modeling share prices of banks and bankrupts
share price modeling CPI prediction the USA bankruptcy
2010/4/27
Share prices of financial companies from the S&P 500 list have been modeled by a linear function of consumer price indices in the USA. The Johansen and Engle-Granger tests for cointegration both demon...
On stability of rolls near the onset of convection in a layer with stress-free boundaries
stress-free boundaries linear stability
2010/4/2
We consider a classical problem of linear stability of convective rolls in a plane layer with stress-free horizontal boundaries near the onset of convection. The problem has been studied by a number o...
Symmetry Analysis of 2+1 dimensional Burgers equation with variable damping
2+1 dimensional Burgers equation variable coefficient
2010/4/2
The symmetry classification of the two dimensional Burgers equation with variable coefficient is considered. Symmetry algebra is found and a classification of its subalgebras, up to conjugacy, is obta...
State-of-the-art review of cellular automata, cellular automata for partial differential equations, differential equations for cellular automata and pattern formation in biology and engineering.
One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems
One Parameter Scaling Disordered Nonlinear Systems Stationary States
2010/4/6
We show, using detailed numerical analysis and theoretical arguments, that the normalized participation number of the stationary solutions of disordered nonlinear lattices obeys a one-parameter scalin...
Student's t-Distribution Based Option Sensitivities: Greeks for the Gosset Formulae
optionpricing Student's t fattails
2010/4/27
European options can be priced when returns follow a Student's t-distribution, provided that the asset is capped in value or the distribution is truncated. We call pricing of options using a log Stude...