Differential equations with a small parameter and multipeak oscillations

DOI10.33048/sibjim.2024.27.107MaRDI QIDQ6586510

Nataliya Alekseevna Chumakova, Gennadii A. Chumakov

Publication date: 13 August 2024

Published in: Sibirskiĭ Zhurnal Industrial'noĭ Matematiki (Search for Journal in Brave)

zbMATH Keywords

small parameterlimit cycleordinary differential equationkinetic modelinvariant manifoldPoincaré mapmultipeak self-oscillations

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Periodic orbits of vector fields and flows (37C27) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Symmetries and invariants of dynamical systems (37C79)

Cites Work

• The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Elements of applied bifurcation theory.
• Non-standard analysis and singular perturbations of ordinary differential equations
• Localization of an unstable solution of a system of three nonlinear ordinary differential equations with a small parameter
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Differential equations with a small parameter and multipeak oscillations