Stability conditions for a fixed point of point maps in the critical case of a pair of complex conjugate roots on the unit circle

DOI10.1007/BF01209381zbMath0801.34047OpenAlexW2048647106MaRDI QIDQ1324940

L. Z. Fishman

Publication date: 21 July 1994

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01209381

zbMATH Keywords

stabilitycritical caseLyapunov exponentpoint mappingsEuler difference scheme

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Discrete version of topics in analysis (39A12) Numerical analysis in abstract spaces (65J99)

Related Items

Various closeness results in discretized bifurcations

Cites Work

• Computation of the Stability Condition for the Hopf Bifurcation of Diffeomorphisms on $\mathbb{R}^2 $
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