basin of attraction

(redirected from Stability theory)
Also found in: Wikipedia.

basin of attraction

[′bās·ən əv ə′trak·shən]
(physics)
The collection of all possible initial conditions of a dynamical system for which the trajectories representing that system in phase space will converge to a particular attractor.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
In many aspects, President Trump's attitude followed the hegemonic stability theory, a body of theory that maintains that the establishment of hegemony for global dominance by a single great power is a necessary condition for global order in commercial transactions and international military security.
The present paper proposes a new control strategy based on the Lyapunov stability theory and the corresponding adaptive fuzzy controller that combines the advantages of two robust techniques, i.e.
As for nonlinear system stability analysis, the most commonly used method is Lyapunov's stability theory [19-21].
Yamada, "Stability theory of synchronized motion in coupled-oscillator systems," Progress of Theoretical and Experimental Physics, vol.
The stability theory of Volterra difference equations has been considered, for example, by Song and Baker [8], Mingarelli [1], and Gonzalez et al.
Based on the stability theory of systems, several useful criteria are given for discussing synchronization of two generalized Lorenz systems, and the adaptive control law and the parameter update law are also given.
Yoshizawa, Stability Theory by Lyapunov's Second Method, The Mathematical Society of Japan, Tokyo, Japan, 1966.
But we should investigate the vehicle stability considering the track irregularity by applying the stochastic stability theory. The latter mainly contains two aspects.
Second, a delayed feedback controller is designed to achieve the finite-time stability for a class of uncertain nonlinear systems with time delays and external disturbances based on the finite-time Lyapunov stability theory. Sufficient conditions are derived for the finite-time stability of the studied system.
We note that the work on the stability theory of such equations is relatively sparse, see [30].
Full browser ?