On the applicability of describing function method

DOI10.1142/s021812742350150xzbMATH Open1546.47018MaRDI QIDQ6538879

Sergey A. Vavilov

Publication date: 14 May 2024

Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)

zbMATH Keywords

limit cyclesoperator equationdegree of mappinganalytical-numerical methodautomatic control theoryhidden oscillation

Mathematics Subject Classification ID

Operator-theoretic methods (93B28) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Cites Work

• Efficient methods in the search for periodic oscillations in dynamical systems
• On the method of harmonic linearization
• On ``relaxation-oscillations.
• Turning points and eigenvalue problems
• HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
• A method of studying the existence of nontrivial solutions to some classes of operator equations with an application to resonance problems in mechanics
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