We hypothesized that rate of divergence would provide an objective measure that can quantify all four voice types.
Moreover, for this unit, higher color coherence stimuli were associated with a faster rate of divergence of FRs as a function of choice and lower color coherence stimuli resulted in a slower rate of divergence of FRs as a function of choice.
In this note we derive the rate of divergence of the penalty term for consistent model selection in the linear regression model under a general error structure.
The purpose of this paper is to introduce the rate of divergence as an objective measure to differentiate between the four voice types based on the amount of disorder present in a signal.
For a short initial phase of 5 time units, the rate of divergence follows a power law.
The rate of divergence can increase up to about 5 digits per Hénon time unit for 128 particles and it increases with N. We use the open-source library GMP: http://gmplib.org/.
The Hermite integrations show a similar behaviour as the Brutus results, which could imply that the rate of divergence is a physical property of the configuration, rather than a property of the integrator.
From (t=20) onwards, the rate of divergence experiences systematic changes, in particular a steep rise of the error of about 10 orders of magnitude between (t=26) and (t=29).
Here, \(\lambda\) is interpreted as the largest global Lyapunov exponent (see the Appendix) and is taken to represent the average rate of divergence of neighboring trajectories issuing forth from some small neighborhood centered around \ \bx 0)\).
Thus, if chaos is to be closely associated with the rate of divergence of nearby trajectories, there seems to be no good reason to deny that SM systems exhibit chaotic behaviour.
(6) Here ϵ is the BS tolerance parameter, (delta _{mathrm{final}}) is the final precision of all the coordinates in the system, (R_{mathrm{div}}) is the approximately constant rate of divergence, e.g. the number of accurate digits lost per unit of time, and (t_{mathrm{cc}}) is the core collapse time.
