Showing 1 - 10 of 35
The empirical study of network dynamics has been limited by the lack of longitudinal data. Here we introduce a quantitative indicator of link persistence to explore the correlations between the structure of a mobile phone network and the persistence of its links. We show that persistent links...
Persistent link: https://www.econbiz.de/10010871542
The connection between fluid dynamics and classical statistical mechanics has motivated in the past mathematical investigations of the incompressible Navier–Stokes (NS) equations (INSE) by means of an asymptotic kinetic theory. This feature has suggested the search for possible alternative...
Persistent link: https://www.econbiz.de/10010871630
We show that any quasi-polynomial invariant of a quasi-polynomial dynamical system can be transformed into a quasi-polynomial invariant of a homogeneous quadratic Lotka–Volterra dynamical system. We show how this quasi-polynomial invariant can be decomposed in a simple manner. This...
Persistent link: https://www.econbiz.de/10010871993
We extend to general divergenceless systems the dynamical thermostatting approach to statistical ensembles proposed by Kusnezov, Bulgac and Bauer (KBB). Furthermore, a new family of dynamical systems inspired by the KBB method is introduced, and some of its properties considered.
Persistent link: https://www.econbiz.de/10010872703
Considering a prototypic model of a bimodal oscillator we investigate the synchronization of the internal time scales for a system with interacting fast and slow oscillatory modes. Particular emphasis is given to the transition between mode-locked and mode-unlocked chaos. It is shown that this...
Persistent link: https://www.econbiz.de/10010873071
We analyze some models of nonequilibrium systems proposed in the past decade which derive the laws of irreversible thermodynamics from deterministic dynamics. We find that these models do not posses the crucial property of local thermodynamic equilibrium, since they represent noninteracting...
Persistent link: https://www.econbiz.de/10010873161
We present an automated algorithm for inferring analytical models of closed reactive biochemical mixtures, on the basis of standard approaches borrowed from thermodynamics and kinetic theory of gases. As input, the method requires a number of steady states (i.e. an equilibria cloud in...
Persistent link: https://www.econbiz.de/10010874135
Maximum entropy principle does not seem to distinguish between the use of Tsallis and Renyi entropies as either of them may be used to derive similar kind of q-exponential distributions. In this paper, we address the question whether the Renyi entropy is equally suitable to describe those...
Persistent link: https://www.econbiz.de/10010874530
A Tsallis-like information measure that elaborates upon those of the Tsallis type is shown to be a rather powerful tool for the analysis of complex, non-stationary signals, as exemplified by the Henon map and EEGs. The ensuing results could be of importance concerning the automatic detection of...
Persistent link: https://www.econbiz.de/10010874622
We numerically study, at the edge of chaos, the behaviour of the single-site map xt+1=xt−xt/(x2t+γ2), where γ is the map parameter.
Persistent link: https://www.econbiz.de/10011057783