搜索结果: 121-135 共查到“知识库 几何学”相关记录1165条 . 查询时间(1.22 秒)
Canards at Folded Nodes
Canards Folded Nodes
2015/8/25
Folded singularities occur generically in singularly perturbed systems of differential
equations with two slow variables and one fast variable. The folded singularities can
be saddles, nodes or foci...
Bifurcations of Relaxation Oscillations near Folded Saddles
Folded Saddles Relaxation Oscillations
2015/8/25
Relaxation oscillations are periodic orbits of multiple time scale dynamical systems
that contain both slow and fast segments. The slow-fast decomposition of these orbits is
de ned in the singular l...
Human infants actively forage for visual information from the moment of birth onward. Although we know a great deal about
how stimulus characteristics influence looking behavior in the first few post...
Parameter estimation for bursting neural models
bursting neural models Parameter estimation
2015/8/25
This paper presents work on parameter estimation
methods for bursting neural models. In our
approach we use both geometrical features specific to
bursting, as well as general features such as perio...
Singular Hopf Bifurcation in Systems with Two Slow Variables
Hopf bifurcation mixed mode oscillation singular perturbation
2015/8/25
Hopf bifurcations have been studied intensively in two dimensional vector fields with one slow
and one fast variable [′E. Benoˆıt et al., Collect. Math., 31 (1981), pp. 37–119; F. Dumortier...
The state of a collection of phase-locked oscillators is determined by a single phase variable or cyclic
coordinate. This paper presents a computational method, Phaser, for estimating the phase of ph...
Dissecting the Phase Response of a Model Bursting Neuron
phase response isochron multiple time-scales
2015/8/25
We investigate the phase response properties of the Hindmarsh–Rose model of neuronal bursting
using burst phase response curves (BPRCs) computed with an infinitesimal perturbation approximation
and ...
A Geometric Model for Mixed-Mode Oscillations in a Chemical System
mixed-mode oscillations bifurcations kneading theory
2015/8/25
This paper presents a detailed analysis of mixed-mode oscillations in the “autocatalator,” a threedimensional,
two time scale vector field that is a chemical reactor model satisfying the law of mass
...
Our motivation for studying this problem is threefold:
(i) When one fixes r = m = 0, the resulting two parameter family is a normal
form for a codimension two bifurcation within the class of planar ...
This paper is an informal discussion of how geometry and numerical analysis
are intertwined in the computational study of dynamical systems and their bifurcations.
We use the example of determining ...
INEQUALITIES FOR THE H-AND FLAG H-VECTORS OF GEOMETRIC LATTICES
H-AND FLAG H-VECTORS GEOMETRIC LATTICES
2015/8/25
We prove that the order complex of a geometric lattice has a convex ear decomposition. As a consequence, if ∆(L) is the order complex of a rank (r +1) geometric lattice L, then the for all i ≤ r...
The dynamics of
uids are often studied through the reduction of partial di erential
equations to systems with only a few degrees of freedom. Analysis of these low dimensional
vector elds remains ...
Digital Curvelet Transform: Strategy, Implementation and Experiments
Curvelets, Ridgelets Digital Ridgelet Transform
2015/8/21
In this paper, we consider the problem of realizing this transform for digital data.
We describe a strategy for computing a digital curvelet transform, we describe a
software environment, Curvelet25...
Near-Optimal Detection of Geometric Objects by Fast Multiscale Methods
Fast Multiscale Methods Geometric Objects
2015/8/21
We construct detectors for ‘geometric’ objects in noisy data. Examples include a detector
for presence of a line segment of unknown length, position, and orientation in two-dimensional
image data wi...
Recently, the Isomap procedure [1] was proposed as a new way to recover a low-dimensional
parametrization of data lying on a low-dimensional submanifold in high-dimensional space.
The method assumes...