Quasi-stability Method in Study of Asymptotic Behavior of Dynamical Systems

DOI10.15407/MAG15.04.448zbMath1451.37005OpenAlexW2990394000MaRDI QIDQ5124251

Tamara Fastovska, Igor D. Chueshov, Iryna Ryzhkova

Publication date: 17 September 2020

Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/mag15.04.448

zbMATH Keywords

stabilityasymptotic behaviorglobal attractorsinfinite-dimensional dynamical systemsquasi-stabilitydetermining functionalsfractal exponential attractorsinfinite fractal dimension

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

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