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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
Persistent link: https://www.econbiz.de/10002004172
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
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 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
We examine the existence of an invariant manifold in the phase space structure presented by a dissipative four-wave coupling. We show that, once in such manifold, the system preserves two quantities as time evolves: a quantity related to the energy of the system and another, related to the...
Persistent link: https://www.econbiz.de/10011058307
A new implementation for the one-dimensional Hull&White model is developed. It is motivated by a geometrical approach to construct an invariant manifold for the future dynamics of forward zero coupon bond prices under a forward martingale measure. This reduces the option-pricing problem for...
Persistent link: https://www.econbiz.de/10011241289