Results 31 to 40 of about 506 (58)

Statistical properties of Lorenz like flows, recent developments and perspectives

, 2014
We comment on mathematical results about the statistical behavior of Lorenz equations an its attractor, and more generally to the class of singular hyperbolic systems.
Anosov D. V., Anosov D. V., Bautista S., Boichenko V. A., Bonatti C., Bowen R., Devaney R., Hopf E., Leonov G. A., Leonov G. A., Maria José Pacifico, Philipp W., Robinson C., Robinson C., Ruelle D., Sinaĭ J. G., Stefano Galatolo, Vitor Araujo   +17 more
core   +1 more source

The Lorenz attractor is mixing

, 2004
We study a class of geometric Lorenz flows, introduced independently by Afraimovic, Bykov & Sil'nikov and by Guckenheimer & Williams, and give a verifiable condition for such flows to be mixing.
Luzzatto, Stefano, Melbourne, Ian, Paccaut, Frederic   +2 more
core   +5 more sources

Robust exponential decay of correlations for singular-flows

, 2015
We construct open sets of Ck (k bigger or equal to 2) vector fields with singularities that have robust exponential decay of correlations with respect to the unique physical measure.
A. Avila, A. Renyi, A. Rovella, A.I. Bufetov, C. Bonatti, C. Liverani, C. Pugh, C.A. Morales, D. Dolgopyat, D. Dolgopyat, D. Ruelle, D. Ruelle, E.N. Lorenz, I. Melbourne, I. Melbourne, J. Guckenheimer, J.F. Alves, J.F. Alves, K. Díaz-Ordaz, L.C. Evans, M. Field, M. Holland, M. Pollicott, M. Pollicott, M. Pollicott, M.J. Pacifico, N.I. Chernov, P. Collet, P. Varandas, Paulo Varandas, R. Bowen, R. Bowen, R. Metzger, S. Galatolo, S. Gouëzel, S. Luzzatto, V. Araújo, V. Araújo, V. Araújo, V. Baladi, V.S. Afraimovich, Vítor Araújo, Y. Sinai   +42 more
core   +1 more source

Global attractors for gradient flows in metric spaces [PDF]

, 2009
We develop the long-time analysis for gradient flow equations in metric spaces. In particular, we consider two notions of solutions for metric gradient flows, namely energy and generalized solutions.
Rossi, Riccarda, Segatti, Antonio, Stefanelli, Ulisse   +2 more
core  

Global attractors of evolutionary systems [PDF]

, 2006
An abstract framework for studying the asymptotic behavior of a dissipative evolutionary system $\mathcal{E}$ with respect to weak and strong topologies was introduced in [8] primarily to study the long-time behavior of the 3D Navier-Stokes equations ...
Cheskidov, Alexey
core  

Monotone flows with dense periodic orbits [PDF]

, 2018
The main result is Theorem 1: A flow on a connected open set X ⊂ Rd is globally periodic provided (i) periodic points are dense in X, and (ii) at all positive times the flow preserves the partial order defined by a closed convex cone that has nonempty ...
Hirsch, MW
core   +1 more source

Rise of nations: Why do empires expand and fall? [PDF]

Chaos, 2020
Vakulenko S, Lyakhov DA, Weber AG, Lukichev D, Michels DL.   +4 more
europepmc   +1 more source

Chapter 4 Monotone Dynamical Systems [PDF]

, 2006
Hirsch, MW, Smith, H
core   +1 more source

Regulation of microtubule dynamics, mechanics and function through the growing tip

Nature Reviews Molecular Cell Biology, 2021
Nikita B Gudimchuk, J Richard Mcintosh
exaly  

Biochemical and mechanical regulation of actin dynamics

Nature Reviews Molecular Cell Biology, 2022
Pekka Lappalainen, Tommi Kotila
exaly