Now consider a differential system with the same supply voltage.

He is known for his work in exterior differential systems, special holonomy, and Finsler geometry.

Many generalizations exist to integrability conditions on differential systems which are not necessarily generated by one-forms.

For some time it was a research issue to find concrete ways in which they arise, for example as a symmetry group of a differential system.

In the general theory of differential systems, there is Frobenius integrability, which refers to overdetermined systems.

A Pfaffian system is one specified by 1-forms alone, but the theory includes other types of example of differential system.

Ferdinand de Saussure described language as, in Calvin Thomas' words, a "differential system without positive terms".

One can express any partial differential equation system as an exterior differential system with independence condition.

For instance, we can apply Cartan's method on partial differential equation systems by writing down the exterior differential system associated with it.

Cartan's prolongation theorem of exterior differential systems, Amer.

Frobenius integrability (overdetermined differential systems)

It turned out to be impossible in general to construct such a frame, and that there were integrability conditions for differential systems which needed to be satisfied first.

(See the article on integrability conditions for differential systems for a detailed discussion of foliations by maximal integral manifolds.)

In this monograph, in particular, the method of Lyapunov functions was used for the investigation of dichotomies in linear differential systems of the general form.

It also made Jeremy Clarkson appear to vomit after driving around a circle of cones extremely rapidly to demonstrate its computer-controlled differential system's anti-understeer capabilities.

Clearly the phenomenon cannot be a property of the exact solution, since this is the same for both problems, and must be a property of the differential system itself.

The most famous of these are the Cartan-Kähler theorem, which only works for real analytic differential systems, and the Cartan-Kuranishi prolongation theorem.

A differential system is said to be completely integrable in the Frobenius sense if the space on which it is defined has a foliation by maximal integral manifolds.

Mironenko V. I., Mironenko V. V. How to construct equivalent differential systems.

A significant difference between the limited-slip differential systems listed above and this brake-based system, is that brake-based systems do not inherently send the greater torque to the slower wheel.

The applications of Lie groups to differential systems were mainly established by Lie and Emmy Noether, and then advocated by Élie Cartan.

The parameters o, r and b are proportional to the Prandtl number, the Rayleigh number, and the size of the region whose behaviour is being approximated by the ordinary differential system (2.2): these parameters.

A wide-ranging knowledge of the vehicle was needed to be able to select the correct gear, transfer ratio, various differential systems and master various techniques required for tackling steep hills, deep water and other tough terrain.

Few of the interested parties were pleased with the proposal and, although the differential system was welcomed, a period of 20 years was preferred with the complicated valuation required of all public assets proving unpopular.

Given an exterior differential system defined on a manifold M, the Cartan-Kuranishi prolongation theorem says that after a finite number of prolongations the system is either in involution (admits at least one 'large' integral manifold), or is impossible.