Results 21 to 30 of about 221 (48)
Crossover collision of scroll wave filaments
Documenta Mathematica, 2000 Scroll waves are three-dimensional stacks of rotating spiral waves, with spiral tips aligned along filament curves. Such spatiotemporal patterns arise, for example, in reaction diffusion systems of excitable media type.
B. Fiedler, R. Mantel
semanticscholar +1 more source
The partial captivity condition for U(1) extensions of expanding maps on the circle
, 2016 This paper concerns the compact group extension \[ f:\mathbb{T}^2\to \mathbb{T}^2,\quad f (x,s)= (E(x), s+\tau(x)\ \text{mod }1) \] of an expanding map $E:\mathbb{S}^1\to \mathbb{S}^1$. The dynamics of $f$ and its stochastic perturbations have previously
Nakano, Yushi +2 more
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The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent [PDF]
, 2009 The paper deals with the genericity of domain-dependent spectral properties of the Laplacian-Dirichlet operator. In particular we prove that, generically, the squares of the eigenfunctions form a free family. We also show that the spectrum is generically
Albert +19 more
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Persistent massive attractors of smooth maps
, 2012 For a smooth manifold of any dimension greater than one, we present an open set of smooth endomorphisms such that any of them has a transitive attractor with a non-empty interior. These maps are $m$-fold non-branched coverings, $m \ge 3$.
Volk, Denis
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Generic observability of dynamical systems
Documenta Mathematica, 2007 Received: January 18, 2005 Revised: July 3, 2007 Communicated by Ulf Rehmann Abstract. We deal with a ertain observation mapping de ned by means of weighted measurments on a dynami al system and give ne essary and su ient onditions, under whi h this ...
Esfandiar Nava Yazdani
semanticscholar +1 more source
The role of aerodynamic forces in a mathematical model for suspension bridges
, 2014 In a fish-bone model for suspension bridges studied by us in a previous paper we introduce linear aerodynamic forces. We numerically analyze the role of these forces and we theoretically show that they do not influence the onset of torsional oscillations.
A. Larsen +16 more
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On homeomorphisms with the two-sided limit shadowing property
, 2014 We prove that the two-sided limit shadowing property is among the strongest known notions of pseudo-orbit tracing. It implies shadowing, average shadowing, asymptotic average shadowing and specification properties.
Carvalho, Bernardo, Kwietniak, Dominik
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Hyperbolicity, transitivity and the two-sided limit shadowing property [PDF]
, 2013 We explore the notion of two-sided limit shadowing property introduced by Pilyugin \cite{P1}. Indeed, we characterize the $C^1$-interior of the set of diffeomorphisms with such a property on closed manifolds as the set of transitive Anosov ...
Carvalho, Bernardo
core
Dynamics of piecewise contractions of the interval
, 2012 We study the asymptotical behaviour of iterates of piecewise contractive maps of the interval. It is known that Poincar\'e first return maps induced by some Cherry flows on transverse intervals are, up to topological conjugacy, piecewise contractions ...
ARNALDO NOGUEIRA +2 more
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, 2015 In this paper we contribute to the generic theory of Hamiltonians by proving that there is a C2-residual R in the set of C2 Hamiltonians on a closed symplectic manifold M, such that, for any H in R, there is a full measure subset of energies e in H(M ...
Bessa, Mario +3 more
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