Finite-dimensional Perron effect of change of all values of characteristic exponents of differential systems

DOI10.1134/S0012266113120021zbMath1366.34073OpenAlexW2041226792MaRDI QIDQ2251794

N. A. Izobov, Andrew V. Ilin

Publication date: 15 July 2014

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266113120021

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (5)

Continual version of the Perron effect of change of values of the characteristic exponents ⋮ On the Baire classification of positive characteristic exponents in the Perron effect of change of their values ⋮ Infinite version of the Perron value change effect for characteristic exponents of differential systems ⋮ Sign reversal of the characteristic exponents of solutions of a differential system with initial data on finitely many points and lines ⋮ Perron effect of infinite change of values of characteristic exponents in any neighborhood of the origin

Cites Work

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• On the Perron sign change effect for Lyapunov characteristic exponents of solutions of differential systems
• Generalization of the Perron effect whereby the characteristic exponents of all solutions of two differential systems change their sign from negative to positive
• IDS: thermodynamic-kinetic-empirical tool for modelling of solidification, microstructure and material properties
• Multidimensional analog of the two-dimensional Perron effect of sign change of characteristic exponents for infinitely differentiable differential systems

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