Results 41 to 50 of about 485,462 (331)
Existence, Uniqueness and Asymptotic Behavior of Solutions for Semilinear Elliptic Equations
A class of semilinear elliptic differential equations was investigated in this study. By constructing the inverse function, using the method of upper and lower solutions and the principle of comparison, the existence of the maximum positive solution and ...
Lin-Lin Wang +2 more
doaj +1 more source
Properties of the solitonic potentials of the heat operator
Properties of the pure solitonic $\tau$-function and potential of the heat equation are studied in detail. We describe the asymptotic behavior of the potential and identify the ray structure of this asymptotic behavior on the $x$-plane in dependence on ...
Boiti, M. +2 more
core +1 more source
Asymptotic Behavior of the Kleinberg Model [PDF]
We study Kleinberg navigation (the search of a target in a d-dimensional lattice, where each site is connected to one other random site at distance r, with probability proportional to r^{-a}) by means of an exact master equation for the process. We show that the asymptotic scaling behavior for the delivery time T to a target at distance L scales as (ln
Carmi, Shai +3 more
openaire +3 more sources
Time after time – circadian clocks through the lens of oscillator theory
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
wiley +1 more source
Asymptotic behavior of retarded differential equations
Some integral criteria for the asymptotic behavior of oscillatory solutions of higher order retarded differential equations are given.
Cheh-Chih Yeh
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Combining losing games into a winning game
Parrondo's paradox is extended to regime switching random walks in random environments. The paradoxical behavior of the resulting random walk is explained by the effect of the random environment.
Rémillard, Bruno, Vaillancourt, Jean
core +3 more sources
To integrate multiple transcriptomics data with severe batch effects for identifying MB subtypes, we developed a novel and accurate computational method named RaMBat, which leveraged subtype‐specific gene expression ranking information instead of absolute gene expression levels to address batch effects of diverse data sources.
Mengtao Sun, Jieqiong Wang, Shibiao Wan
wiley +1 more source
Asymptotic Behavior of $$\beta $$-Polygon Flows [PDF]
In this article we investigate a family of nonlinear evolutions of polygons in the plane called the $\beta$-polygon flow and obtain some results analogous to results for the smooth curve shortening flow: (1) any planar polygon shrinks to a point and (2) a regular polygon with five or more vertices is asymptotically stable in the sense that nearby ...
David Glickenstein, Jinjin Liang
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
On the phase structure of vector-matrix scalar model in four dimensions
The leading-order equations of the $$1/N$$ 1/N – expansion for a vector-matrix model with interaction $$g\phi _a^*\phi _b\chi _{ab}$$ gϕa∗ϕbχab in four dimensions are investigated.
V. E. Rochev
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