Dimension theory for ordinary differential equations

By V. Boichenko, Gennady A. Leonov, V. Reitmann. 2005

161 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/ea36e89905825ee6ad7420478de1022c33cab74a

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In Computational Theory and Mathematics

1. Sigurdur Freyr Hafstein
2. Peter Giesl
3. Gennady A. Leonov

Citations in the corpus

• Strange attractors and classical stability theory (2006, background): “From this and the well-known property [60]”
• Review on computational methods for Lyapunov functions (2015, background): “contributions have been made in Krasovskĭi 1963 [139], Kravchuk, Leonov, and Ponomarenko 1992 [140], see also the books Leonov, Burkin, and Shepelyavyi 1996 [146] and Boichenko, Leonov, and Reitmann 2005 [39].”
• Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system (2015, background): “If r < 1, then system (4) has a unique equilibrium S0 = (0, 0, 0), which is globally asymptotically Lyapunov stable (global attractor) [18,22].”