Results 71 to 80 of about 4,572 (182)

Hamiltonian dynamics, nanosystems, and nonequilibrium statistical mechanics [PDF]

, 2006
An overview is given of recent advances in nonequilibrium statistical mechanics on the basis of the theory of Hamiltonian dynamical systems and in the perspective provided by the nanosciences.
Gaspard, Pierre
core   +1 more source

Maximum Kolmogorov-Sinai Entropy Versus Minimum Mixing Time in Markov Chains [PDF]

Journal of Statistical Physics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mihelich, Martin, Dubrulle, Bérengère, Paillard, Didier, Kral, Quentin, Faranda, Davide   +4 more
openaire   +3 more sources

Estimating Kolmogorov–Sinai Entropy from Time Series of High-Dimensional Complex Systems

Physics Letters A, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kota Shiozawa, Isao T. Tokuda
openaire   +1 more source

Hierarchy of piecewise non-linear maps with non-ergodicity behavior

, 2004
We study the dynamics of hierarchy of piecewise maps generated by one-parameter families of trigonometric chaotic maps and one-parameter families of elliptic chaotic maps of $\mathbf{cn}$ and $\mathbf{sn}$ types, in detail.
Abarbanel H, Bergenholtz J, Blank M Bunimovich L, Bodat P Alfouard F Descomps M Ngai K L, Dorfman J R, Eckmann J P, Jafarizadeh M A, Jafarizadeh M A, Keller G, M A Jafarizadeh, M Foroutan, Medio A, Ruelle D, S Behnia, Scopigno T, Turaev D   +15 more
core   +1 more source

Kolmogorov–Sinai entropy in field line diffusion by anisotropic magnetic turbulence [PDF]

Plasma Physics and Controlled Fusion, 2009
The Kolmogorov-Sinai (KS) entropy in turbulent diffusion of magnetic field lines is analyzed on the basis of a numerical simulation model and theoretical investigations. In the parameter range of strongly anisotropic magnetic turbulence the KS entropy is shown to deviate considerably from the earlier predicted scaling relations [Rev. Mod. Phys. {\bf 64}
MILOVANOV A. V, BITANE R, ZIMBARDO, Gaetano   +2 more
openaire   +4 more sources

Coexisting infinitely many attractors in a new chaotic system with a curve of equilibria: Its extreme multi-stability and Kolmogorov–Sinai entropy computation

Advances in Mechanical Engineering, 2019
A new five-dimensional chaotic system with extreme multi-stability is introduced in this article. The mathematical model is established, and numerical simulations are done. This dynamical system complicates incident of extreme multi-stability.
Atefeh Ahmadi, Xiong Wang, Fahimeh Nazarimehr, Fawaz E Alsaadi, Fuad E Alsaadi, Viet-Thanh Pham   +5 more
doaj   +1 more source

Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate

Journal of High Energy Physics, 2018
The rate of entropy production in a classical dynamical system is characterized by the Kolmogorov-Sinai entropy rate h KS given by the sum of all positive Lyapunov exponents of the system.
Eugenio Bianchi, Lucas Hackl, Nelson Yokomizo   +2 more
doaj   +1 more source

Probing chaos in the spherical p-spin glass model

SciPost Physics, 2023
We study the dynamics of a quantum $p$-spin glass model starting from initial states defined in microcanonical shells, in a classical regime. We compute different chaos estimators, such as the Lyapunov exponent and the Kolmogorov-Sinai entropy, and find ...
Lorenzo Correale, Anatoli Polkovnikov, Marco Schirò, Alessandro Silva
doaj   +1 more source

Category Theory for Autonomous and Networked Dynamical Systems

Entropy, 2019
In this discussion paper we argue that category theory may play a useful role in formulating, and perhaps proving, results in ergodic theory, topogical dynamics and open systems theory (control theory). As examples, we show how to characterize Kolmogorov&
Jean-Charles Delvenne
doaj   +1 more source

Mixing property of triangular billiards

, 1999
We present numerical evidence which strongly suggests that irrational triangular billiards (all angles irrational with $\pi$) are mixing. Since these systems are known to have zero Kolmogorov-Sinai entropy, they may play an important role in ...
Casati, Giulio, Prosen, Tomaz
core   +1 more source