Dynamics of spatially distributed chains of coupled systems of equations in a two-dimensional domain

DOI10.1134/S0001434621110079zbMath1487.34055OpenAlexW4200426499MaRDI QIDQ2063652

Sergey A. Kaschenko

Publication date: 11 January 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621110079

zbMATH Keywords

stabilitydynamicsnormal formasymptotics of solutionschains of nonlinear systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic properties of solutions to ordinary differential equations (34D05) Ordinary lattice differential equations (34A33)

Cites Work

• Chemical oscillations, waves, and turbulence
• Dynamics of the Kuramoto equation with spatially distributed control
• Synchronization in oscillatory networks
• NORMALIZATION IN THE SYSTEMS WITH SMALL DIFFUSION
• The simplest critical cases in the dynamics of nonlinear systems with small diffusion
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