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Record 1,  Textual support,  English

Record number: 1, Textual support number: 1 OBS

A partial indication of the degree of stability of a feedback loop based upon the extent by which the loop gain ratio falls short of unity at the frequency(or frequencies) at which the loop phase shift is zero.  1, record 1, English, - gain%20margin

Record 1,  Textual support,  French

Record 1,  Textual support,  Spanish

Record 2,  Textual support,  English

Record number: 2, Textual support number: 1 DEF

A function of a vector and of time which is positive-definite and has a negative-definite derivative with respect to time for nonzero vectors, is identically zero for the zero vector, and approaches infinity as the norm of the vector approaches infinity; used in determining the stability of control systems.  5, record 2, English, - Lyapunov%20function

Record 2,  Textual support,  French

Record number: 2, Textual support number: 1 DEF

Fonction vecteur-temps décrivant un flot quelquefois non autonome dans l'espace des phases d'un système dynamique.  2, record 2, French, - fonction%20de%20Liapounov

Record number: 2, Textual support number: 1 OBS

La fonction de Liapounov permet souvent de cerner la stabilité ou l'attractivité d'un ensemble invariant.  2, record 2, French, - fonction%20de%20Liapounov

Record 2,  Textual support,  Spanish

Record 3,  Textual support,  English

Record number: 3, Textual support number: 1 CONT

The bifurcation to which [this] equation gives rise(...) is called supercritical or normal. The limit cycle is created with a zero amplitude and at the bifurcation point, the system is in a state of marginal stability. This results from the presence of the dissipative term... whose effect... counteracts that of the instability. Consequently, the solution does not undergo a sudden transformation at the bifurcation but changes gradually. This is generally the case whenever the nonlinear terms of lowest order are such as to counteract the instability.  2, record 3, English, - normal%20bifurcation

Record 3,  Textual support,  French

Record number: 3, Textual support number: 1 CONT

La bifurcation à laquelle donne lieu l'équation [...] est dite surcritique (ou supercritique) ou normale. Le cycle limite naît avec une amplitude nulle et, au point de bifurcation, le système se trouve dans un état de stabilité marginale. Ceci résulte de la présence du terme de dissipation [...] dont l'effet [...] est antagoniste de celui de l'instabilité. Par suite la solution ne subit pas de transformation brutale à la bifurcation, mais se modifie de manière progressive. De façon générale il en est ainsi chaque fois que les termes non-linéaires d'ordre le plus bas s'opposent à l'instabilité.  2, record 3, French, - bifurcation%20supercritique

Record 3,  Textual support,  Spanish