Lower bounds for the upper Lyapunov exponent in one-parameter families of Millionshchikov systems

DOI10.1007/s10958-015-2559-2zbMath1332.34023OpenAlexW2173000643MaRDI QIDQ904562

A. V. Lipnitskij

Publication date: 13 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2559-2

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items

Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations ⋮ On the instability of Millionshchikov linear differential systems with continuous dependence on a real parameter ⋮ Upper semicontinuity of the upper Lyapunov exponent of Millionshchikov linear differential systems with an affine parameter

Cites Work

• On the positivity of the upper Lyapunov exponent in one-parameter families of linear differential systems
• Hill's equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena
• Millionshchikov's solution to Erugin's problem
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