Entropy creation rate is introduced for a system interacting with thermostats (i.e., for a system subject to internal conservative forces interacting with "external" thermostats via conservative forces) and a fluctuation theorem for it is proved. As an application, a time scale is introduced, to be interpreted as the time over which irreversibility becomes manifest in a process leading from an ...

Some recent and classical integral inequalities are extended to the general timescale calculus, including the inequalities of Steffensen, Iyengar, Čebyšev, and Hermite-Hadamard.

We study local deformations of time-frequency and timescale representations, in the framework of the so-called reassignment methods, which aim at deblurringg time-frequency representations. We focus on deformations generated by appropriate vector elds deened on time-frequency or time scale plane, and constructed on the basis of geometric and group-theoretical arguments. Such vector elds may be ...

Current multimedia technologies call for efficient ways of representing signals. We review several efficient methods for signal representation, emphasizing potential applications in signal compression and denoising. We pay special attention to the representations which are adapted to “non-stationary” features of signals, in particular the classes of bilinear representations, and their approxima...

and the corresponding inversion formula analyze the frequency content of f . Underlying many finer decompositions into simpler pieces are the fundamental invariance properties of R and the corresponding operators. For harmonic analysis on R these are the translations t → t+x and the dilations t → at, where t, x ∈ R and a ∈ R. The corresponding operators are the translation operator Tx (2) Txf(t...

This paper investigates the effects of temporal aggregation when the aggregation frequency is variable and possibly stochastic. The results that we report include, as a particular case, the well-known results on fixed-interval aggregation, such as when monthly data is aggregated into quarters. A variable aggregation frequency implies that the aggregated process will exhibit time-varying paramet...

Abstract A novel method of modeling centrifugal compression systems for surge control purposes by using bond graphs is presented. By using the bond graph method, we get a simple description of compression systems based on physical phenomena and it is straight forward to get the dynamic equations. It is demonstrated that several active surge control methods can be represented by the same bond gr...