Asymptotic behavior of solutions of Lorenz-like systems: analytical results and computer error structures

DOI10.3103/S1063454117010071zbMath1385.34014OpenAlexW2607273974MaRDI QIDQ1696065

B. R. Andrievskiy, R. N. Mokaev, Gennady Alekseevich Leonov

Publication date: 14 February 2018

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454117010071

zbMATH Keywords

stabilityLyapunov functiondissipativityChen systemLorenz-like systemsLu systemcomputer error structures

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Global stability of solutions to ordinary differential equations (34D23) Complex behavior and chaotic systems of ordinary differential equations (34C28) Invariant manifolds for ordinary differential equations (34C45) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (3)

Computation of the largest positive Lyapunov exponent using rounding mode and recursive least square algorithm ⋮ The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension ⋮ Complex Dynamics of a Four-Dimensional Circuit System

Uses Software

• AUTO
• AUTO-86

Cites Work

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