Invariant Sets
Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets
... Existence and multiplicity results for nodal solutions are obtained for the fourth-order boundary value problem BVP u 4 t ft, ut, 0 < t < 1, u0 u1 u 0 u 1 0, where f : 0, 1×R → R is continuous. The critical point ...
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Hausdorff Measures and Hausdorff Dimensions of the Invariant Sets for Iterated Function Systems of Geometric Fractals
... Cantor sets and higher dimensional fractals such as the square fractal, the Menger sponge and the Sierpinski tetrahedron and show the Hausdorff measures and Hausdorff dimensions of the invariant sets ...
9
Attracting and invariant sets of nonlinear neutral differential equations with delays
... the invariant set and the global attracting set for a class of nonlinear non-autonomous functional differential systems with impulsive effects ...and invariant sets and the sufficient condition ensuring ...
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Attracting and quasi invariant sets for a class of impulsive stochastic difference equations
... The aim of this article is to study the attracting and quasi-invariant sets for a class of impulsive stochastic difference equations. By establishing a difference inequality, we obtain the attracting and ...
9
Attracting and quasi invariant sets of neutral stochastic integro differential equations with impulses driven by fractional Brownian motion
... and invariant sets are also interesting topics for the stochastic system (see, ...p-invariant sets for NSFDEs with ...attracting sets of NSFDEs with impulses by establishing impulsive ...
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A Relaxed Characterization of ISS for Periodic Systems with Multiple Invariant Sets
... or invariant sets (including hidden attractors ...disjoint invariant sets represents an important special case of stability theory, which requires suitable methods [5], [30], [20], [33], [7], ...
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Impulsive integral inequalities for attracting and quasi invariant sets of impulsive stochastic partial differential equations with infinite delays
... In this paper, we investigate a class of impulsive stochastic partial differential equations with infinite delays. First, we establish two impulsive-integral inequalities. Then, as applications, the attracting and ...
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Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms
... Abstract. Several endomorphisms of the plane have been constructed by simple maps. We study the dynamics occuring in one of them, which is rich in global bifurcations. The invariants sets are stable manifolds of ...
13
On invariant sets topology
... As an application of the Sections 1 and 2, we give the following fixed point theorems using separation axioms and the concept of orbits related to the function f. For the converse suppos[r] ...
6
Orthogonal invariant sets of the diffusion tensor and the development of a curvilinear set suitable for low-anisotropy tissues.
... finding invariant measures of anisotropy which encode the shape of the diffusion ellipsoid, and which do not depend on having to magnitude-order the eigenvalues, was proposed by Ennis and Kindlmann ...orthogonal ...
15
Dimensions of compact invariant sets of some expanding maps
... Bedford [2] and McMullen [25] answered the questions on Hausdorff dimension in- dependently for a non-conformal case. They found the Hausodorff dimension for a compact invariant subset of a non-conformal expanding ...
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Finite Alphabet Control of Logistic Networks with Discrete Uncertainty
... polytopic invariant sets ...control invariant hyperbox exist? And under what conditions is such a set robustly globally attractive? We present two main results: First, we derive a necessary and ...
14
Crinkly curves, Markov partitions and dimension
... we look at how the D1 in a of fractals construction can be interpreted-in dynamical setting method and additionally used as a simple the of describing construction of invariant sets of i[r] ...
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Minimal cubings
... almost invariant subsets of a group by a family of equivalent almost invariant subsets which are in good ...almost invariant sets which is analogous to the properties possessed by shortest ...
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A Geometric Method for Generating Discrete Trace Transition System of a Polyhedral Invariant Hybrid Automaton
... For detecting DTTS firstly invariants of PIHA must be defined. In this paper invariant sets are determined by using state quantizers. The state quantizer maps the con- tinuous state space onto discrete ...
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Robust predictive control of constrained systems with actuating delay.
... the terminal constraint to be such a set, rather than the origin, the size of the feasi ble region of the MPC optimization for a given horizon N is increased and most of the numerical convergence problems are addressed. ...
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Global Existence, Exponential Decay and Blow-Up of Solutions for a Class of Fractional Pseudo-Parabolic Equations with Logarithmic Nonlinearity
... u log |u|. Firstly, we recall the relationship between the fractional Laplace operator (−4) s and the fractional Sobolev space H s and discuss the invariant sets and the vacuum isolating behavior of ...
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First-guess generation of solar sail interplanetary heteroclinic connections
... dedicated sets are then introduced to exploit the combined use of solar radiation pressure with invariant manifold trajectories, aiming at defining feasible first guess ...classic invariant manifolds ...
19
Robustness of coherence : an operational and observable measure of quantum coherence
... translationally invariant operations but not under the larger set of incoherent operations [20], which may put into question their broader status as coherence ...
5
SM 0017 Fortran CFT Internal Reference Manual pdf
... Control card cracking routine CARD collects options, 2-2 sets default values, 2-2 sets register indicator bits, 2-2 statement parameters, 1-3 Conventions, 4-8 Convert an invariant **CII [r] ...
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