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Three results are presented: First, we solve the problem of persistence of dissipation for reduction of kinetic models. Kinetic equations with thermodynamic Lyapunov functions are studied. Uniqueness of the thermodynamic projector is proven: There exists only one projector which transforms any...
Persistent link: https://www.econbiz.de/10010874458
In this paper, explicit method of constructing approximations (the triangle entropy method) is developed for …
Persistent link: https://www.econbiz.de/10010591361
concurrent decrease in the conformational entropy of the polypeptide chain. However, to provide a description that is consistent … with other natural processes, protein folding is formulated from the principle of increasing entropy. It then becomes … steeply ascending paths on the entropy landscape that correspond to steeply descending paths on the free energy landscape. The …
Persistent link: https://www.econbiz.de/10010872071
Landsberg's notion of disorder, entropy normalized to maximum entropy, was originally proposed for the Shannon … information-theoretic entropy to overcome extensivity-based deficiencies of entropy as a measure of disorder. We generalize …
Persistent link: https://www.econbiz.de/10005050866
volatility phenomenon is by using measures based on the concept of entropy. In this paper we investigate the long memory and …. Additionally, we compare the results from conditionally heteroscedastic models with those from the entropy measures. In the latter …, we examine Shannon entropy, Renyi entropy and Tsallis entropy. The results corroborate the previous evidence of nonlinear …
Persistent link: https://www.econbiz.de/10011061753
returns prevail). In this paper, we introduce a new assumption about the generation of knowledge, which involves entropy, i … explored in scenarios of neoclassical and endogenous growth and it is able to justify endogenous fluctuations. Entropy in the … are observable for different degrees of entropy. Complete a-periodicity (chaos) is also found for particular values of an …
Persistent link: https://www.econbiz.de/10005787052
Invariant manifolds play an important role in the study of Dynamical Systems, since they help to reduce the essential dynamics to lower dimensional objects. In that way, a bifurcation analysis can easily be performed. In the classical approach, the reduction to invariant manifolds requires...
Persistent link: https://www.econbiz.de/10011264188
This paper presents a unified framework of different algorithms to numerically compute high order expansions of invariant manifolds associated to a steady state of a dynamical system. The framework is inspired in the parameterization method of Cabr, Fontich and de la Llave [7], and the...
Persistent link: https://www.econbiz.de/10010547374
The purpose of this essay is to give an overview of some recent workconcerning structural properties of the evolution of the forward rate curve in an arbitrage free bond market. The main problems to be discussed are as follows. <p> <p> 1. When is a given forward rate model consistent with a given...</p></p>
Persistent link: https://www.econbiz.de/10005649234
This paper discusses the inhomogeneous nonlinear Schrödinger equation with critical exponent. By constructing a variational problem and the so-called invariant manifolds of the evolution flow, we derive a sharp criterion for blowup and global existence of the solutions.
Persistent link: https://www.econbiz.de/10011077433