scientific article; zbMATH DE number 867342

zbMath0926.34024MaRDI QIDQ4873723

Gennady Alekseevich Leonov, I. M. Burkin, A. I. Shepelyavyj

Publication date: 17 April 1996

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zbMATH Keywords

attractorsdynamical systemsHausdorff dimensionvan der Pol equationfrequency estimatescylindrical phase spacefrequency methodsAizerman problemtheory of oscillations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Nonlinear ordinary differential equations and systems (34A34) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Attractors of solutions to ordinary differential equations (34D45) Stability theory for ordinary differential equations (34D99) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (5)

Dynamics of the mathematical model of phase-locked systems with delay ⋮ Conditions for the existence of cycles in a system of differential equations ⋮ First-kind cycles of systems with cylindrical phase space ⋮ Asynchronous modes of phase systems ⋮ Oscillations in systems with non-linear damping

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