Examples of using Dynamical systems in English and their translations into Vietnamese
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Tochastic processes(random dynamical systems).
Qualitative behavior of dynamical systems or equations of motions that are primarily mechanical can impact solutions of differential equation".
Lyapunov function for general dynamical systems.
Chaos theory says that complex dynamical systems become unstable because of disturbances in their environments after which a strange attractor draws the trajectory of the stress.”.
Many phenomena in nature can be described by dynamical systems;
Awarded for his contribution to“dynamical systems, ergodic theory and mathematical physics.”.
He was awarded a Fields Medal in 1994, for his work on dynamical systems.
For his fundamental contributions to dynamical systems, ergodic theory, and mathematical physics”.
Lyapunov functions arise in the study of equilibrium points of dynamical systems.
Did Professor Youens grade my dynamical systems paper or did you?
Zbigniew Nitecki is Professor of Mathematics at Tufts University anda leading authority on smooth dynamical systems.
In dynamical systems, an orbit is called Lyapunov stable if the forward orbit of any point is in a small enough neighborhood or it stays in a small(but perhaps, larger) neighborhood.
Lennart Carleson, Sweden:"for profound and seminal contributions to harmonic analysis andthe theory of smooth dynamical systems".
Many parts of the qualitative theory of differential equations and dynamical systems deal with asymptotic properties of solutions and the trajectories- what happens with the system after a long period of time.
Lyapunov contributed to several fields, including differential equations,potential theory, dynamical systems and probability theory.
DeMarco then went off todo pioneering work applying techniques from dynamical systems to questions in number theory, for which she will receive the Satter Prize- awarded to a leading female researcher- from the American Mathematical Society on January 5.
Simulink, developed by MathWorks, is a graphical programming environment for modeling,simulating and analyzing multidomain dynamical systems.
The study of complex adaptive systems, a subset of nonlinear dynamical systems,[3] is highly interdisciplinary and blends insights from the natural and social sciences to develop system-level models and insights that allow for heterogeneous agents, phase transition, and emergent behavior.[4].
The extension, by Selberg, Ruelle and many others,of the concept of zeta function in order to solve genuine problems of the dynamical systems themselves.
Research in control systems is oriented towards identification-and optimization-based control of dynamical systems, with an emphasis on real-time embedded optimization algorithms for the control of stochastic, distributed, and large-scale dynamical systems, and their application in industrial problems arising from the automotive, aerospace, and smart-grid domains.
Various types of stability may be discussed for the solutions of differential equations ordifference equations describing dynamical systems.
In mathematics,stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions.
To establish links with the international scientific community and in particular with other societies dealing with optimization,decision analysis and dynamical systems.
It can be used for signal processing, statistical analysis, image enhancement, fluid dynamics simulations, numerical optimization, and modeling,simulation of explicit and implicit dynamical systems and(if the corresponding toolbox is installed) symbolic manipulations.
Fundamenta Mathematicae is a peer-reviewed scientific journal of mathematics with a special focus on the foundations of mathematics, concentrating on set theory, mathematical logic,topology and its interactions with algebra, and dynamical systems.
Artur Avila Cordeiro de Melo(born 29 June 1979)is a Brazilian-French mathematician working primarily on dynamical systems and spectral theory.
Unobservable poles are not present in the transfer function realization of a state-space representation,which is why sometimes the latter is preferred in dynamical systems analysis.
Named after the Russian mathematician Aleksandr Mikhailovich Lyapunov, Lyapunov functions(also called the Lyapunov's second method for stability)are important to stability theory of dynamical systems and control theory.
Maxim Kontsevich, Institut des Hautes Études Scientifiques, for work making a deep impact in a variety of mathematical disciplines, including algebraic geometry, deformation theory, symplectic topology,homological algebra and dynamical systems.