- asymptotically stable equilibrium
- асимптотически устойчивое состояние равновесия
English-russian dictionary of physics. 2013.
English-russian dictionary of physics. 2013.
Moving equilibrium theorem — Consider a dynamical system (1).......... (2).......... with the state variables x and y. Assume that x is fast and y is slow. Assume that the system (1) gives, for any fixed y, an asymptotically stable solution . Substituting this for x in (2) y … Wikipedia
Lyapunov function — In mathematics, Lyapunov functions are functions which can be used to prove the stability of a certain fixed point in a dynamical system or autonomous differential equation. Named after the Russian mathematician Aleksandr Mikhailovich Lyapunov,… … Wikipedia
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Lyapunov stability — In mathematics, the notion of Lyapunov stability occurs in the study of dynamical systems. In simple terms, if all solutions of the dynamical system that start out near an equilibrium point x e stay near x e forever, then x e is Lyapunov stable.… … Wikipedia
Risk dominance — Infobox equilibrium name = Risk dominance Payoff dominance subsetof = Nash equilibrium supersetof = discoverer = John Harsanyi, Reinhard Selten usedfor = Non cooperative games example = Stag huntRisk dominance and payoff dominance are two related … Wikipedia
State space (controls) — In control engineering, a state space representation is a mathematical model of a physical system as a set of input, output and state variables related by first order differential equations. To abstract from the number of inputs, outputs and… … Wikipedia
Bénard cells — are convection cells that appear spontaneously in a liquid layer when heat is applied from below. They can be obtained using a simple experiment first conducted by Henri Bénard, a French physicist, in 1900. The experiment illustrates the theory… … Wikipedia
Rayleigh–Bénard convection — Bénard cells. Rayleigh–Bénard convection is a type of natural convection, occurring in a plane of fluid heated from below, in which the fluid develops a regular pattern of convection cells known as Bénard cells. Rayleigh–Bénard convection is one… … Wikipedia
Hurwitz matrix — In mathematics, a square matrix A is called a Hurwitz matrix if every eigenvalue of A has strictly negative real part, that is,:mathop{mathrm{Re [lambda i] < 0, for each eigenvalue lambda i. A is also called a stability matrix, because then the… … Wikipedia
Heteroclinic cycle — In mathematics, a heteroclinic cycle is an invariant set in the phase space of a dynamical system. It is a topological circle of equilibrium points and connecting heteroclinic orbits. If a heteroclinic cycle is asymptotically stable, approaching… … Wikipedia
Autonomous convergence theorem — In mathematics, an autonomous convergence theorem is one of a family of related theorems which give conditions for global asymptotic stability of a continuous dynamical system.HistoryThe Markus Yamabe conjecture was formulated as an attempt to… … Wikipedia