enow.com Web Search

Search results

1. Results from the WOW.Com Content Network

2. Stability theory - Wikipedia

   en.wikipedia.org/wiki/Stability_theory

   In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation , for example, is a stable partial differential equation because small perturbations of initial data lead to small variations in temperature ...

3. Stable theory - Wikipedia

   en.wikipedia.org/wiki/Stable_theory

   In the mathematical field of model theory, a theory is called stable if it satisfies certain combinatorial restrictions on its complexity. Stable theories are rooted in the proof of Morley's categoricity theorem and were extensively studied as part of Saharon Shelah's classification theory, which showed a dichotomy that either the models of a theory admit a nice classification or the models ...

4. Category:Stability theory - Wikipedia

   en.wikipedia.org/wiki/Category:Stability_theory

   Download QR code; Print/export Download as PDF; Printable version; In other projects Wikimedia Commons; ... It corresponds roughly to MSC 34Dxx Stability Theory

5. LaSalle's invariance principle - Wikipedia

   en.wikipedia.org/wiki/LaSalle's_invariance_principle

   Some extensions of Liapunov's second method, IRE Transactions on Circuit Theory, CT-7, pp. 520–527, 1960. (PDF Archived 2019-04-30 at the Wayback Machine) Barbashin, E. A.; Nikolai N. Krasovskii (1952). Об устойчивости движения в целом [On the stability of motion as a whole]. Doklady Akademii Nauk SSSR (in Russian).

6. Popov criterion - Wikipedia

   en.wikipedia.org/wiki/Popov_criterion

   The sub-class of Lur'e systems studied by Popov is described by: ˙ = + ˙ = = + = where x ∈ R n, ξ,u,y are scalars, and A,b,c and d have commensurate dimensions. The nonlinear element Φ: R → R is a time-invariant nonlinearity belonging to open sector (0, ∞), that is, Φ(0) = 0 and yΦ(y) > 0 for all y not equal to 0.

7. Structural stability - Wikipedia

   en.wikipedia.org/wiki/Structural_stability

   Ideas of structural stability were taken up by Stephen Smale and his school in the 1960s in the context of hyperbolic dynamics. Earlier, Marston Morse and Hassler Whitney initiated and René Thom developed a parallel theory of stability for differentiable maps, which forms a key part of singularity theory. Thom envisaged applications of this ...

8. Circle criterion - Wikipedia

   en.wikipedia.org/wiki/Circle_criterion

   In nonlinear control and stability theory, the circle criterion is a stability criterion for nonlinear time-varying systems. It can be viewed as a generalization of the Nyquist stability criterion for linear time-invariant (LTI) systems .

9. Peixoto's theorem - Wikipedia

   en.wikipedia.org/wiki/Peixoto's_theorem

   In the theory of dynamical systems, Peixoto's theorem, proved by Maurício Peixoto, states that among all smooth flows on surfaces, i.e. compact two-dimensional manifolds, structurally stable systems may be characterized by the following properties: The set of non-wandering points consists only of periodic orbits and fixed points.