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Pure discrete spectrum in substitution tiling spaces
Pure discrete spectrum Tiling space Substitution
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2011/9/14
Abstract: We introduce a procedure for establishing pure discrete spectrum for substitution tiling systems of Pisot family type and illustrate with several examples.
Early warning signals for critical transitions: A generalized modeling approach
critical transitions Populations and Evolution Dynamical Systems
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2011/10/9
Critical transitions are sudden, often irreversible, changes that can occur in a large variety of complex systems. Signals that warn of critical transitions are highly desirable, but their constructio...
Variable elimination in post-translational modification reaction networks with mass-action kinetics
Polynomial equations Mass-action kinetics MAPK cascade Rational functions Chemical Reaction Networks
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2011/10/8
Abstract: We define a subclass of Chemical Reaction Networks called Post-Translational Modification systems. Important biological examples of such systems include MAPK cascades and two-component syste...
Non-Uniform hyperbolicity for infinite dimensional cocycles
Random operators dominated splitting multiplicative ergodic theorem Lyapunov exponents
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2011/9/14
Abstract: Let H be an infinite dimensional separable Hilbert space, X a compact Hausdorff space and f : X \rightarrow X a homeomorphism which preserves a Borel ergodic measure which is positive on non...
A simple linear response closure approximation for slow dynamics of a multiscale system with linear coupling
closure approximation slow dynamics multiscale system linear coupling
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2011/9/14
Abstract: Many applications of contemporary science involve multiscale dynamics, which are typically characterized by the time and space scale separation of patterns of motion, with fewer slowly evolv...
On cyclicity one elliptic islands of the Standard family
elliptic islands the Standard family Dynamical Systems
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2011/9/14
Abstract: We study abundance of a special class of elliptic islands (called cyclicity one elliptic islands) for the Standard family of area preserving diffeomorphisms for large parameter values, i.e. ...
A numerical study of infinitely renormalizable area-preserving maps
renormalizable area-preserving maps numerical study Dynamical Systems
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2011/9/14
Abstract: It has been shown in (Gaidashev et al, 2010) and (Gaidashev et al, 2011) that infinitely renormalizable area-preserving maps admit invariant Cantor sets with a maximal Lyapunov exponent equa...
Characterization of hyperbolicity and generalized shadowing lemma
Hyperbolicity Lyapunov exponents shadowing Anosov maps
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2011/9/13
Abstract: J. Mather characterized uniform hyperbolicity of a discrete dynamical system as equivalent to invertibility of an operator on the set of all sequences bounded in norm in the tangent bundle o...
Green Currents for Meromorphic Maps of Compact Kahler Manifolds
Green Currents Meromorphic Maps Compact Kahler Manifolds
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2011/9/9
Abstract: We consider the dynamics of meromorphic maps of compact K\"ahler manifolds. In this work, our goal is to locate the non-nef locus of invariant classes and provide necessary and sufficient co...
Moments on Riemann surfaces and hyperelliptic Abelian integrals
Moments Riemann surfaces hyperelliptic Abelian integrals Dynamical Systems
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2011/9/9
Abstract: In the present paper we solve the following different but interrelated problems: (a) the moment problem on Riemann surfaces, (b) the vanishing problem of polynomial Abelian integrals of dime...
Differential equation approximations of stochastic network processes: an operator semigroup approach
dynamic network birth-and-death process one-parameter operator semigroup
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2011/9/6
Abstract: The rigorous linking of exact stochastic models to mean-field approximations is studied. Starting from the differential equation point of view the stochastic model is identified by its Kolmo...
Dynamics of stochastic non-Newtonian fluids driven by fractional Brownian motion with Hurst parameter $H \in (1/4,1/2)$
fractional Brownian motion stochastic non-Newtonian fluid random attractor
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2011/9/6
Abstract: In this paper we consider the Stochastic isothermal, nonlinear, incompressible bipolar viscous fluids driven by a genuine cylindrical fractional Bronwnian motion with Hurst parameter $H \in ...
Entropy, Lyapunov Exponents and Escape Rates in Open Systems
Lyapunov Exponents Escape Rates Open Systems Dynamical Systems
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2011/9/5
Abstract: We study the relation between escape rates and pressure in general dynamical systems with holes, where pressure is defined to be the difference between entropy and the sum of positive Lyapun...
On stochastic stability of non-uniformly expanding interval maps
stochastic stability non-uniformly expanding interval maps Dynamical Systems
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2011/9/5
Abstract: We study the expanding properties of random perturbations of regular interval maps satisfying the summability condition of exponent one. Under mild conditions, we prove strong stochastic sta...
Periodic solutions of o.d.e. systems with a lipchitz non linearity
o.d.e. systems lipchitz non linearity Periodic solutions Dynamical Systems
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2011/9/5
Abstract: In this report, we address differential systems with Lipschitz non linearities; this study is motivated by the subject of vibrations of structures with unilateral springs or non linear stres...