Results 11 to 20 of about 101,242 (190)

Dimension and product structure of hyperbolic measures [PDF]

, 1999
We prove that every hyperbolic measure invariant under a C^{1+\alpha} diffeomorphism of a smooth Riemannian manifold possesses asymptotically ``almost'' local product structure, i.e., its density can be approximated by the product of the densities on ...
Barreira, Luis, Pesin, Yakov, Schmeling, Jörg   +2 more
core   +7 more sources

Slow invariant manifolds as curvature of the flow of dynamical systems [PDF]

, 2014
Considering trajectory curves, integral of n-dimensional dynamical systems, within the framework of Differential Geometry as curves in Euclidean n-space, it will be established in this article that the curvature of the flow, i.e.
Chua, Leon, Ginoux, Jean-Marc, Rossetto, Bruno   +2 more
core   +1 more source

Bifurcations of piecewise smooth flows:perspectives, methodologies and open problems [PDF]

, 2012
In this paper, the theory of bifurcations in piecewise smooth flows is critically surveyed. The focus is on results that hold in arbitrarily (but finitely) many dimensions, highlighting significant areas where a detailed understanding is presently ...
Colombo, Alessandro, di Bernardo, M, Hogan, S. J., Jeffrey, MR   +3 more
core   +1 more source

Symbolic extensions in intermediate smoothness on surfaces [PDF]

, 2011
We prove that $\mathcal{C}^r$ maps with $r>1$ on a compact surface have symbolic extensions, i.e. topological extensions which are subshifts over a finite alphabet.
Burguet, David
core   +4 more sources

A Survey on Continuous Time Computations [PDF]

, 2007
We provide an overview of theories of continuous time computation. These theories allow us to understand both the hardness of questions related to continuous time dynamical systems and the computational power of continuous time analog models.
A Ben-Hur, A Ben-Hur, A Ben-Hur, A Ben-Hur, A Kempe, A Rabinovich, A Turing, A Vergis, A. Church, APL Francisco, Asarin, B Trakhtenbrot, BJ Copeland, C Moore, C Moore, C Moore, C Moore, CE Shannon, CS Calude, D Dee, D Deutsch, D Graça, D Woods, DS Graça, DS Graça, E Asarin, E Asarin, E Asarin, E Post, EB Davies, G Etesi, G Lafferriere, G P ăun, H Abdi, HM Stoll, HT Siegelmann, HT Siegelmann, HT Siegelmann, I Artobolevskii, I Németi, J Earman, J Foy, J Mycka, J Mycka, J Mycka, J Mycka, J Šíma, J Šíma, JF Costa, JJ Hopfield, JJ Hopfield, JV Tucker, K Ruohonen, K Ruohonen, K Ruohonen, K Ruohonen, K Ruohonen, K Ruohonen, K Weihrauch, K-I Ko, K-I Ko, L Blum, L Faybusovich, L Faybusovich, L Lipshitz, LA Rubel, LA Rubel, LM Adleman, M Campagnolo, M Campagnolo, M Casey, M Casey, M Davis, M Gori, M Hogarth, M Hogarth, M Hoyrup, M Pour-El, MB Pour-El, MB Pour-El, MB Pour-El, MD Bowles, ML Campagnolo, ML Campagnolo, ML Hogarth, MO Rabin, MS Branicky, MS Branicky, N Müller, O Bournez, O Bournez, O Bournez, O Bournez, O Bournez, O. Finkel, P Bouyer, P Clote, P Collins, P Koiran, P Koiran, P Koiran, P Orponen, P Orponen, PW Shor, R Alur, R Alur, R Legenstein, RJ Lipton, RW Brockett, RW Brockett, S Aaronson, S Grigorieff, S Omohundro, S. C. Kleene, T Brihaye, T Brihaye, T Head, T Natschläger, TA Henzinger, TD Kieu, U Helmke, V Bush, VD Blondel, VD Blondel, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, WD Smith, Šíma   +138 more
core   +5 more sources

Towards a General Theory of Extremes for Observables of Chaotic Dynamical Systems [PDF]

, 2013
In this paper we provide a connection between the geometrical properties of a chaotic dynamical system and the distribution of extreme values. We show that the extremes of so-called physical observables are distributed according to the classical ...
Faranda, Davide, Kuna, Tobias, Lucarini, Valerio, Wouters, Jeroen   +3 more
core   +4 more sources

Asymptotic expansions for the escape rate of stochastically perturbed unimodal maps [PDF]

, 2009
The escape rate of a stochastic dynamical system can be found as an expansion in powers of the noise strength. In previous work the coefficients of such an expansion for a one-dimensional map were fitted to a general form containing a few parameters ...
Artuso, Artuso, Beale, Bene, Biswas, Boyd, Bunimovich, Carl P. Dettmann, Cvitanović, Cvitanović, Cvitanović, Cvitanović, Davis, Dettmann, Dettmann, Dettmann, Dingle, Faisst, Feigenbaum, Fogedby, Franaszek, Gammaitoni, Gaspard, Hamm, Katok, Korabel, Manneville, Prakash, Priplata, Reimann, Reimann, Reimann, Ruiz, Shlesinger, Sornette, Teil B. Howard, Waalkens, Waalkens   +37 more
core   +1 more source

Hopping and the Stokes-Einstein relation breakdown in simple glass formers

, 2014
One of the most actively debated issues in the study of the glass transition is whether a mean-field description is a reasonable starting point for understanding experimental glass formers.
Charbonneau, Patrick, Jin, Yuliang, Parisi, Giorgio, Zamponi, Francesco   +3 more
core   +2 more sources

Field theory of self-organized fractal etching

, 2001
We propose a phenomenological field theoretical approach to the chemical etching of a disordered-solid. The theory is based on a recently proposed dynamical etching model.
Gabrielli, Andrea, Munoz, Miguel A., Sapoval, Bernard   +2 more
core   +1 more source

A general framework for boundary equilibrium bifurcations of Filippov systems

, 2018
As parameters are varied a boundary equilibrium bifurcation (BEB) occurs when an equilibrium collides with a discontinuity surface in a piecewise-smooth system of ODEs. Under certain genericity conditions, at a BEB the equilibrium either transitions to a
Simpson, D. J. W.
core   +1 more source