Belitskii-Lyubich conjecture for C-analytic dynamical systems
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CHEBAN, David. Belitskii-Lyubich conjecture for C-analytic dynamical systems. In: Discrete and Continuous Dynamical Systems - Series B, 2015, vol. 20, nr. 3, pp. 945-959. ISSN 1531-3492. DOI: https://doi.org/10.3934/dcdsb.2015.20.945
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Discrete and Continuous Dynamical Systems - Series B
Volumul 20, Numărul 3 / 2015 / ISSN 1531-3492 /ISSNe 1553-524X

Belitskii-Lyubich conjecture for C-analytic dynamical systems

DOI:https://doi.org/10.3934/dcdsb.2015.20.945

Pag. 945-959

Cheban David
 
Moldova State University
 
 
Disponibil în IBN: 21 aprilie 2023


Rezumat

The aim of this paper is study the problem of global asymptotic stability of solutions for ℂ-analytical dynamical systems (both with continuous and discrete time). In particular we present some new results for the C-analytical version of Belitskii-Lyubich conjecture. Some applications of these results for periodic ℂ-analytical differential/difference equations and the equations with impulse are given.

Cuvinte-cheie
Attractor, Belitskii-Lyubich conjecture, Global asymptotic stability, Holomorphic dynamical systems