Sequences of Filtrations

Michael Shub
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Michael Shub: IBM, Thomas J. Watson Research Center

Chapter Chapter 3 in Global Stability of Dynamical Systems, 1987, pp 13-19 from Springer

Abstract: Abstract Let M: Ø=M 0 ⊂ ··· ⊂ M k , = M and N: Ø=N 0 ⊂ ··· ⊂ N l = M be two filtrations of M. We say that N refines M if and only if for all i = 0,..., l − 1, there is a j, 0 ≤ j ≤ k − 1 such that (N i +1 − N i ) ⊂ (M j +1 − M j ).

Keywords: Vector Field; Lyapunov Function; Disjoint Union; Global Stability; Catastrophe Theory (search for similar items in EconPapers)
Date: 1987
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DOI: 10.1007/978-1-4757-1947-5_3

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