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)
small parameterlimit cycleordinary differential equationkinetic modelinvariant manifoldPoincaré mapmultipeak self-oscillations
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
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