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CHARACTERIZATION OF THE RÖSSLER SYSTEM IN PARAMETER SPACE
International Journal of Bifurcation and Chaos, 2007We characterize the Rössler system by means of a map associating colors to various intervals of largest Lyapunov exponent values in parameter space. This color map allows quick access to quantitative information about the dynamics of the system. The map also permits parameter space navigation while intentionally maintaining the system in a desired ...
Castro, Victor +4 more
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Parameter Spaces and Moduli Spaces
1992We can now give a slightly expanded introduction to the notion of parameter space, introduced in Lecture 4 and discussed occasionally since. This is a fairly delicate subject, and one that is clearly best understood from the point of view of scheme theory, so that in some sense this discussion violates our basic principle of dealing only with topics ...
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The HH- Space as Parameter Space
1990From very early on it has been shown that, using unequal inclusion probabilities, the HT- strategy need not have a smaller risk than the corresponding HH-strategy. Therefore, the question of conditions for a gain in efficiency arises. On the other hand, the risk of the HH- strategy in a natural way implies the HH- space as parameter space, to which we ...
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The Parameter Spaces of the Cubic Polyomials
Fractals, 1998We plot the two-dimensional projections of the parameter spaces of the cubic mappings. The projection of the parameter points that have non-totally disconnected Julia sets can be seen as a combination of Mandelbrot-like sets. The regularities of these projections with respect to parameters are explained using elementary analysis.
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The Generalized HH- Space as Parameter Space
1990We have seen that the computation of a general minimax strategy with regard to the parameter space $$\otimes = \left\{ {\theta \in \mathbb{R}^N :\sum\limits_\text{i} {\frac{1} {{\text{p}_\text{i} }}} (\text{y}_\text{i} \text{ - p}_\text{i} \text{y})^2 \leqslant \text{c}^2 } \right\}$$ with c>0 in nD1 or in nD 1 u often is not feasible.
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Repetitive controller design in parameter space
Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001A new and simple repetitive controller design procedure in controller parameter space, where the structure of the filters in the repetitive controller are fixed from the start and parameters within these filters are tuned, is presented here. This approach results in simple and physically meaningful controllers that are easily implementable.
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1993
With Chapter 11 we are entering into Part IV of this book, the part that deals with design. For an uncertain closed-loop characteristic polynomial p(s, q, k) we want to find a k = k0 such that the polynomial p(s, q, k0) is Γ-stable for all q ∈ Q. Generic situations are:1.
Jürgen Ackermann +4 more
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With Chapter 11 we are entering into Part IV of this book, the part that deals with design. For an uncertain closed-loop characteristic polynomial p(s, q, k) we want to find a k = k0 such that the polynomial p(s, q, k0) is Γ-stable for all q ∈ Q. Generic situations are:1.
Jürgen Ackermann +4 more
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2018
In this chapter, we will consider the problem of estimating a location vector which is constrained to lie in a convex subset of \(\mathbb {R}^P\). Estimators that are constrained to a set should be constrasted to the shrinkage estimators discussed in Sect.
Dominique Fourdrinier +2 more
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In this chapter, we will consider the problem of estimating a location vector which is constrained to lie in a convex subset of \(\mathbb {R}^P\). Estimators that are constrained to a set should be constrasted to the shrinkage estimators discussed in Sect.
Dominique Fourdrinier +2 more
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The Journal of the Acoustical Society of America, 2007
Vowels are universal in human languages and have long been categorized in feature systems. However, the feature systems are based on introspection and include a notion of ‘‘height’’ or ‘‘closeness,’’ that is not anatomically straightforward. From x-ray and other imaging data, the important aspects seem to be palatal, velar, and pharyngeal closures ...
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Vowels are universal in human languages and have long been categorized in feature systems. However, the feature systems are based on introspection and include a notion of ‘‘height’’ or ‘‘closeness,’’ that is not anatomically straightforward. From x-ray and other imaging data, the important aspects seem to be palatal, velar, and pharyngeal closures ...
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Compactifying parameter spaces
2016Keynote Questions (a) (The five conic problem) Given five general plane conics C 1 , …, C 5 ⊂ ℙ 2 , how many smooth conics C ⊂ ℙ 2 are tangent to all five? (Answer on page 308.) (b) Given 11 general points p 1 ,…, p 11 ϵ ℙ 2 in the plane, how many rational quartic curves C ⊂ ℙ 2 contain them all?
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