Relationship between invariant sets of systems of differential equations and the corresponding difference equations
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We study the relationship between invariant sets of systems of differential equations and the corresponding difference equations in terms of sign-constant Lyapunov functions. For systems of differential equations, we obtain a converse result concerning the existence of a positive-definite Lyapunov function whose zeros coincide with a given invariant manifold.
KeywordsDifference Equation Lyapunov Function Function Versus Invariant Manifold Lyapunov Function Versus
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