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- Chetayev_instability_theorem abstract "The Chetayev instability theorem for dynamical systems states that if there exists for the system a function V(x) such that in any arbitrarily small neighborhood of the origin there is a region D1 in which V(x) > 0 and on whose boundaries V(x) = 0; at all points of the region in which V(x) > 0 the total time derivative assumes positive values along every trajectory of the origin is a boundary point of D1;then the trivial solution is unstable. This theorem is somewhat less restrictive than the Lyapunov instability theorems, since a complete sphere (circle) around the origin for which V and both are of the same sign does not have to be produced..".
- Chetayev_instability_theorem wikiPageID "4184621".
- Chetayev_instability_theorem wikiPageRevisionID "542393495".
- Chetayev_instability_theorem hasPhotoCollection Chetayev_instability_theorem.
- Chetayev_instability_theorem subject Category:Theorems_in_dynamical_systems.
- Chetayev_instability_theorem type Abstraction100002137.
- Chetayev_instability_theorem type Attribute100024264.
- Chetayev_instability_theorem type Communication100033020.
- Chetayev_instability_theorem type DynamicalSystem106246361.
- Chetayev_instability_theorem type DynamicalSystems.
- Chetayev_instability_theorem type Message106598915.
- Chetayev_instability_theorem type PhaseSpace100029114.
- Chetayev_instability_theorem type Proposition106750804.
- Chetayev_instability_theorem type Space100028651.
- Chetayev_instability_theorem type Statement106722453.
- Chetayev_instability_theorem type Theorem106752293.
- Chetayev_instability_theorem type TheoremsInDynamicalSystems.
- Chetayev_instability_theorem comment "The Chetayev instability theorem for dynamical systems states that if there exists for the system a function V(x) such that in any arbitrarily small neighborhood of the origin there is a region D1 in which V(x) > 0 and on whose boundaries V(x) = 0; at all points of the region in which V(x) > 0 the total time derivative assumes positive values along every trajectory of the origin is a boundary point of D1;then the trivial solution is unstable.".
- Chetayev_instability_theorem label "Chetayev instability theorem".
- Chetayev_instability_theorem sameAs m.0bnsht.
- Chetayev_instability_theorem sameAs Chetayev_instability_theorem.
- Chetayev_instability_theorem wasDerivedFrom Chetayev_instability_theorem?oldid=542393495.
- Chetayev_instability_theorem isPrimaryTopicOf Chetayev_instability_theorem.