About: Chetaev instability theorem

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The Chetaev instability theorem for dynamical systems states that if there exists, for the system with an equilibrium point at the origin, a continuously differentiable function V(x) such that 1. * the origin is a boundary point of the set ; 2. * there exists a neighborhood of the origin such that for all then the origin is an unstable equilibrium point of the system. This theorem is somewhat less restrictive than the , since a complete sphere (circle) around the origin for which and both are of the same sign does not have to be produced. It is named after Nicolai Gurevich Chetaev.

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  • The Chetaev instability theorem for dynamical systems states that if there exists, for the system with an equilibrium point at the origin, a continuously differentiable function V(x) such that 1. * the origin is a boundary point of the set ; 2. * there exists a neighborhood of the origin such that for all then the origin is an unstable equilibrium point of the system. This theorem is somewhat less restrictive than the , since a complete sphere (circle) around the origin for which and both are of the same sign does not have to be produced. It is named after Nicolai Gurevich Chetaev. (en)
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  • V. V. (en)
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  • Chetaev_theorems&oldid=12645 (en)
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  • Rumyantsev (en)
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  • cs1 (en)
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  • Chetaev theorems (en)
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  • The Chetaev instability theorem for dynamical systems states that if there exists, for the system with an equilibrium point at the origin, a continuously differentiable function V(x) such that 1. * the origin is a boundary point of the set ; 2. * there exists a neighborhood of the origin such that for all then the origin is an unstable equilibrium point of the system. This theorem is somewhat less restrictive than the , since a complete sphere (circle) around the origin for which and both are of the same sign does not have to be produced. It is named after Nicolai Gurevich Chetaev. (en)
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  • Chetaev instability theorem (en)
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