concept of a center manifold was originally developed to determine stability of degenerate equilibria. Subsequently, the concept of center manifolds was realised...
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Hodgkin–Huxley model (section Center manifold)
the center manifold. In other words, the 4-dimensional system collapses onto a 2-dimensional plane. Any solution starting off the center manifold will...
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point implies the existence of a local stable center manifold containing that fixed point. This manifold has dimension equal to the number of eigenvalues...
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invariant manifold is a topological manifold that is invariant under the action of the dynamical system. Examples include the slow manifold, center manifold, stable...
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manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n {\displaystyle n} -dimensional manifold,...
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respectively. Invariant manifold Center manifold Limit set Julia set Slow manifold Inertial manifold Normally hyperbolic invariant manifold Lagrangian coherent...
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mathematics, the slow manifold of an equilibrium point of a dynamical system occurs as the most common example of a center manifold. One of the main methods...
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An inlet manifold or intake manifold (in American English) is the part of an internal combustion engine that supplies the fuel/air mixture to the cylinders...
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matrices, moments, local sensitivity and statistical diagnostics. Center manifold Hessian matrix Pushforward (differential) Differentiability at x implies...
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(e.g. synergetics). Inertial manifolds may also appear as slow manifolds common in meteorology, or as the center manifold in any bifurcation. Computationally...
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mathematics. All manifolds are topological manifolds by definition. Other types of manifolds are formed by adding structure to a topological manifold (e.g. differentiable...
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transforms and invariant manifolds provide a sounder support for multiscale modelling (for example, see center manifold and slow manifold). As an example for...
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In mathematics, a spherical 3-manifold M is a 3-manifold of the form M = S 3 / Γ {\displaystyle M=S^{3}/\Gamma } where Γ {\displaystyle \Gamma } is a finite...
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In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow...
67 KB (9,495 words) - 02:22, 11 July 2024
Mathematically speaking, the dynamics has a center manifold, or more precisely a near center manifold. In addition, it has been found that the stellar...
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Nonlinear dimensionality reduction (redirect from Manifold learning)
manifold learning, is any of various related techniques that aim to project high-dimensional data, potentially existing across non-linear manifolds which...
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Hyperbolic equilibrium point, a fixed point that does not have any center manifolds Hyperbolic function, an analog of an ordinary trigonometric or circular...
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or hyperbolic fixed point is a fixed point that does not have any center manifolds. Near a hyperbolic point the orbits of a two-dimensional, non-dissipative...
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the center manifold is generated by the parabolic transformations, the unstable manifold by the hyperbolic transformations, and the stable manifold by...
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The Popov criterion and the circle criterion for absolute stability Center manifold theorem Small-gain theorem Passivity analysis Control design techniques...
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Atlas (topology) (category Manifolds)
used to describe a manifold. An atlas consists of individual charts that, roughly speaking, describe individual regions of the manifold. In general, the...
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A normally hyperbolic invariant manifold (NHIM) is a natural generalization of a hyperbolic fixed point and a hyperbolic set. The difference can be described...
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speeds, the valve was opened, diverting the incoming air into the center of the manifold. The shorter runners resulted in improved horsepower. Passenger...
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and algorithmic development include: Analytical modeling Center manifold and slow manifold theory Continuum modeling Discrete modeling Network-based...
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introduced, such as monotonicity of a frequency function and the use of a center manifold to perform a more intricate blow-up procedure. A streamlined and more...
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mathematics, a Riemannian manifold is said to be flat if its Riemann curvature tensor is everywhere zero. Intuitively, a flat manifold is one that "locally...
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quaternionic manifold is a quaternionic analog of a complex manifold. The definition is more complicated and technical than the one for complex manifolds due in...
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Spin structure (redirect from Spin manifold)
In differential geometry, a spin structure on an orientable Riemannian manifold (M, g) allows one to define associated spinor bundles, giving rise to the...
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Glossary of Riemannian and metric geometry (redirect from Infranil manifold)
definitions given below. Connection Curvature Metric space Riemannian manifold See also: Glossary of general topology Glossary of differential geometry...
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