Sentences with phrase «of dynamical systems»

This work is based on a weaving together of recent results from three mathematical disciplines: the ergodic theory of dynamical systems, stochastic processes, and the response theory of nonequilibrium dynamical systems.

Chaos is just one state of a dynamical system when there is strong positive feedback.

«Markov partitioning is transforming a continuous trajectory of a dynamical system stored in variables of high resolution into something discrete that can be stored in a finite set of variables with finite resolution, for instance, an alphabet,» said Nicolás Rubido of the Universidad de la República.

«In other words, political parties are examples of dynamical systems.»

«Quite often, these kinds of dynamical systems are described by differential equations whose different terms describe different phenomena.

«Biophysicists take small step in quest for «robot scientist»: Practical algorithm for inferring laws of nature from time - series data of dynamical systems.»

«It allows us to determine how a given dynamic stands with respect to the different known classes of dynamical systems,» he added.

The work of these men led directly to the key mathematical structures, methods, and programs that have persisted through this century: groups, rings, modules, and field extensions; algebraic and analytic number theory; algebraic geometry; algebraic topology and qualitative analysis of dynamical systems; Hilbert's twenty - three problems.

His theoretical framework involved characterising the structure of dynamical systems, computing singular periodic orbits, and calculating their asymptotic behaviour under constraints.

Lent shows how the tenets of Neo-Confucian thought are homologous with maths, neuroscience and climatology, particularly when those disciplines identify «a complex of dynamical systems that remain valid across the entire natural world, from systems as vast as global climate to as small as a living cell».

The idea is that small variations in the initial conditions of a dynamical system produce large variations in the long term behavior of the system.

The 2015 TWAS - Lenovo Science Prize was awarded to Artur Avila, for his outstanding contributions to several areas of dynamical systems, especially to the spectral theory of one - frequency Schrödinger operators.

You also say that you are «not saying that is the threshold», while every definition of the lousy sociological term «tipping point» has severe resemblance and is synonomous to «threshold» as it is understood in «catastrophe theory» (which is an application of more general theory of bifurcations in one - parametric families of dynamical systems).

Lorenz's contributions to both atmospheric science and the mathematics of dynamical systems were wide ranging and seminal.

Surprisingly, their proof involves not only geometry, but the theory of dynamical systems.

The state of any dynamical system is determined by a system of spatial coordinates and a corresponding system of velocity coordinates.

Nature Communications published the finding — a practical algorithm for inferring laws of nature from time - series data of dynamical systems.

The broad class of dynamical systems is known by certain behaviours.

Avila won for work in the theory of dynamical systems.

He has also applied the theory of dynamical systems to solve a long - standing problem in analysis stemming from quantum mechanics.

So here we go: X is a cartesian finite dimensional space and its points are states of a dynamical system (each state is defined by N coordinates).