Results 71 to 80 of about 1,894,382 (325)
Reduction of polynomial dynamical systems modulo primes [PDF]
We study the algebraic dynamical systems generated by triangular systems of rational functions and estimate the height growth of iterations generated by such systems. Further, using a result on the reduction modulo primes of systems of multivariate polynomials over the integers, we study the periodic points and the intersection of orbits of such ...
arxiv
The protonated form of butyrate, as well as other short‐chain fatty acids (SCFAs), is membrane permeable. In acidic extracellular environments, this can lead to intracellular accumulation of SCFAs and cytosolic acidification. This phenomenon will be particularly relevant in acidic environments such as the large intestine or tumor microenvironments ...
Muwei Jiang+2 more
wiley +1 more source
$p$-adic discrete dynamical systems and their applications in physics and cognitive sciences [PDF]
This review is devoted to dynamical systems in fields of $p$-adic numbers: origin of $p$-adic dynamics in $p$-adic theoretical physics (string theory, quantum mechanics and field theory, spin glasses), continuous dynamical systems and discrete dynamical systems.
arxiv
A stepwise emergence of evolution in the RNA world
How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
wiley +1 more source
Sarnak's conjecture implies the Chowla conjecture along a subsequence
We show that the M\"obius disjointess of zero entropy dynamical systems implies the existence of an increasing sequence of positive integers along which the Chowla conjecture on autocorrelations of the M\"obius function holds.Comment: Proceedings of the ...
Gomilko, Alexander+2 more
core +1 more source
This short note is devoted to the representative dynamics, which realizes a link between the theory of controlled systems and representation theory. Dynamical inverse problem of representation theory for controlled systems is considered: to solve it means to correspond a representative dynamics to the controlled system.
arxiv
UDP‐glucuronic acid 4‐epimerase (UGAepi) catalyzes NAD+‐dependent interconversion of UDP‐glucuronic acid (UDP‐GlcA) and UDP‐galacturonic acid (UDP‐GalA) via C4‐oxidation, 4‐keto‐intermediate rotation, and C4‐reduction. Here, Borg et al. examined the role of the substrate's carboxylate group in the enzymic mechanism by analyzing NADH‐dependent reduction
Annika J. E. Borg+2 more
wiley +1 more source
Success in the fine control of the nervous system depends on a deeper understanding of how neural circuits control behavior. There is, however, a wide gap between the components of neural circuits and behavior.
Nima Dehghani, Nima Dehghani
doaj +1 more source
Data-driven dynamics reconstruction using RBF network
Constructing the governing dynamical equations of complex systems from observational data is of great interest for both theory and applications. However, it is a difficult inverse problem to explicitly construct the dynamical equations for many real ...
Cong-Cong Du+3 more
doaj +1 more source
Rare events, exponential hitting times and extremal indices via spectral perturbation [PDF]
We discuss how an eigenvalue perturbation formula for transfer operators of dynamical systems is related to exponential hitting time distributions and extreme value theory for processes generated by chaotic dynamical systems. We also list a number of piecewise expanding systems to which this general theory applies and discuss the prospects to apply ...
arxiv