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ADAPTIVE REGULATION TO INVARIANT SETS

by Ivan Tyukin, Denis Efimov, Cees Leeuwen , 2004
"... Abstract: A new framework for adaptive regulation to invariant sets is proposed. Reaching the target dynamics (invariant set) is to be ensured by state feedback while adaptation to parametric uncertainties is provided by additional adaptation algorithm. We show that for a sufficiently large class of ..."
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Abstract: A new framework for adaptive regulation to invariant sets is proposed. Reaching the target dynamics (invariant set) is to be ensured by state feedback while adaptation to parametric uncertainties is provided by additional adaptation algorithm. We show that for a sufficiently large class

Invariant sets for the varactor equation

by M. V. Bartuccelli, J. H. B. Deane, G. Gentile, L. Marsh
"... The differential equation ¨x+γ ˙x+x µ = f(t) with f(t) positive, periodic and continuous is studied. After describing some physical applications of this equation, we construct a variety of invariant sets for it, thereby partitioning the phase plane into regions in which solutions grow without bound ..."
Abstract - Cited by 12 (11 self) - Add to MetaCart
The differential equation ¨x+γ ˙x+x µ = f(t) with f(t) positive, periodic and continuous is studied. After describing some physical applications of this equation, we construct a variety of invariant sets for it, thereby partitioning the phase plane into regions in which solutions grow without bound

Computing Invariant Sets

by Ale Jan Homburg, Duncan Sands, Robin De Vilder, Afdeling Wiskunde , 1996
"... We describe algorithms for computing hyperbolic invariant sets of diffeomorphisms and their stable and unstable manifolds. This includes the calculation of Smale horseshoes and the stable and unstable manifolds of periodic points in any finite dimension. Introduction In understanding the dynamics o ..."
Abstract - Cited by 4 (1 self) - Add to MetaCart
We describe algorithms for computing hyperbolic invariant sets of diffeomorphisms and their stable and unstable manifolds. This includes the calculation of Smale horseshoes and the stable and unstable manifolds of periodic points in any finite dimension. Introduction In understanding the dynamics

Exploring Invariant Sets and Invariant Measures

by Michael Dellnitz, Andreas Hohmann, Oliver Junge, Martin Rumpf - Chaos , 1997
"... We propose a method to explore invariant measures of dynamical systems. The method is based on numerical tools which directly compute invariant sets using a subdivision technique, and invariant measures by a discretization of the Frobenius-Perron operator. Appropriate visualization tools help to ana ..."
Abstract - Cited by 13 (6 self) - Add to MetaCart
We propose a method to explore invariant measures of dynamical systems. The method is based on numerical tools which directly compute invariant sets using a subdivision technique, and invariant measures by a discretization of the Frobenius-Perron operator. Appropriate visualization tools help

On Invariant Sets Topology

by Madjid Eshaghi Gordji , Mohsen Rostamian Delavar , 2014
"... Abstract In this paper we introduce and study a new topology related to a self mapping on a nonempty set. Let X be a nonempty set and let f be a self mapping on X. Then the set of all invariant subsets of X related to f , i.e. τ f := {A ⊆ X : f (A) ⊆ A} ⊆ P(X) is a topology on X. Among other things ..."
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Abstract In this paper we introduce and study a new topology related to a self mapping on a nonempty set. Let X be a nonempty set and let f be a self mapping on X. Then the set of all invariant subsets of X related to f , i.e. τ f := {A ⊆ X : f (A) ⊆ A} ⊆ P(X) is a topology on X. Among other

1 REDUCED INVARIANT SETS

by Gerald W. Schwarz, In Of Dick Palais
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ALMOST INVARIANT SETS

by unknown authors
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ON INVARIANT SETS IN LAGRANGIAN GRAPHS

by Xiaojun Cui, Lei Zhao
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On a Class of Controlled Invariant Sets

by Marian V. Iordache, Panos J. Antsaklis , 2004
"... In this paper we introduce a new class of controlled invariant sets, called controllable invariant sets. Intuitively, a controllable invariant set has the property that from any “large enough” connected region of the set it is possible to reach any such other region of the set, regardless of disturb ..."
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In this paper we introduce a new class of controlled invariant sets, called controllable invariant sets. Intuitively, a controllable invariant set has the property that from any “large enough” connected region of the set it is possible to reach any such other region of the set, regardless

On the Poincaré Index of Isolated Invariant Sets

by M. R. Razvan, M. Fotouhi Firoozabad , 2001
"... In this paper, we use Conley index theory to examine the Poincaré index of an isolated invariant set. We obtain some limiting conditions on a critical point of a planar vector field to be an isolated invariant set. As a result we show the existence of infinitely many homoclinic orbits for a critical ..."
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In this paper, we use Conley index theory to examine the Poincaré index of an isolated invariant set. We obtain some limiting conditions on a critical point of a planar vector field to be an isolated invariant set. As a result we show the existence of infinitely many homoclinic orbits for a
Results 1 - 10 of 12,299