Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Cvitanović, Predrag"'
Lagrangian tracer particle trajectories for invariant solutions of the Navier-Stokes equations confined to the three-dimensional geometry of plane Couette flow are studied. Treating the Eulerian velocity field of an invariant solution as a dynamical
Externí odkaz:
http://arxiv.org/abs/2412.04725
Autor:
Liang, Han, Cvitanović, Predrag
Publikováno v:
J. Phys. A 55, 304002 (2022)
Motivated by Gutzwiller's semiclassical quantization, in which unstable periodic orbits of low-dimensional deterministic dynamics serve as a WKB `skeleton' for chaotic quantum mechanics, we construct the corresponding deterministic skeleton for infin
Externí odkaz:
http://arxiv.org/abs/2201.11325
The dynamics of an extended, spatiotemporally chaotic system might appear extremely complex. Nevertheless, the local dynamics, observed through a finite spatiotemporal window, can often be thought of as a visitation sequence of a finite repertoire of
Externí odkaz:
http://arxiv.org/abs/1912.02940
Autor:
Budanur, Nazmi Burak, Short, Kimberly Y., Farazmand, Mohammad, Willis, Ashley P., Cvitanović, Predrag
Publikováno v:
J. Fluid Mech. 833, 274-301 (2017)
Chaotic dynamics of low-dimensional systems, such as Lorenz or R\"ossler flows, is guided by the infinity of periodic orbits embedded in their strange attractors. Whether this also be the case for the infinite-dimensional dynamics of Navier--Stokes e
Externí odkaz:
http://arxiv.org/abs/1705.03720
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation 55C (2018) pp. 16-28
The stationary distribution of a fully chaotic system typically exhibits a fractal structure, which dramatically changes if the dynamical equations are even slightly modified. Perturbative techniques are not expected to work in this situation. In con
Externí odkaz:
http://arxiv.org/abs/1602.03044
Publikováno v:
Journal of Statistical Physics, 167, pp. 636-655, 2017
Systems such as fluid flows in channels and pipes or the complex Ginzburg-Landau system, defined over periodic domains, exhibit both continuous symmetries, translational and rotational, as well as discrete symmetries under spatial reflections or comp
Externí odkaz:
http://arxiv.org/abs/1509.08133
Publikováno v:
Phys. Rev. E 92, 062922 (2015)
The finest state space resolution that can be achieved in a physical dynamical system is limited by the presence of noise. In the weak-noise approximation the neighborhoods of deterministic periodic orbits can be computed as distributions stationary
Externí odkaz:
http://arxiv.org/abs/1507.00462
Publikováno v:
Phys. Rev. E 93, 022204 (2016)
Equilibrium solutions are believed to structure the pathways for ergodic trajectories in a dynamical system. However, equilibria are atypical for systems with continuous symmetries, i.e. for systems with homogeneous spatial dimensions, whereas relati
Externí odkaz:
http://arxiv.org/abs/1504.05825
Publikováno v:
Chaos 25, 073112 (2015)
Dynamical systems with translational or rotational symmetry arise frequently in studies of spatially extended physical systems, such as Navier-Stokes flows on periodic domains. In these cases, it is natural to express the state of the fluid in terms
Externí odkaz:
http://arxiv.org/abs/1411.3303