STABLE AND OSCILLATING MOTIONS IN NONAUTONOMOUS DYNAMICAL SYSTEMS. A GENERALIZATION OF C. L. SIEGEL'S THEOREM TO THE NONAUTONOMOUS CASE

DOI10.1070/SM1974v023n03ABEH001723zbMath0324.34051OpenAlexW1993852282MaRDI QIDQ4087594

Publication date: 1975

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1974v023n03abeh001723

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Ordinary differential equations in the complex domain (34M99) Stability theory for smooth dynamical systems (37C75)

Related Items (11)

Bifurcations in Asymptotically Autonomous Hamiltonian Systems Subject to Multiplicative Noise ⋮ Capture into resonance in nonlinear oscillatory systems with decaying perturbations ⋮ A Kolmogorov theorem for nearly integrable Poisson systems with asymptotically decaying time-dependent perturbation ⋮ Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise ⋮ Simple proofs and extensions of a result of L. D. Pustylnikov on the nonautonomous Siegel theorem ⋮ Asymptotic analysis of systems with damped oscillatory perturbations ⋮ Decaying oscillatory perturbations of Hamiltonian systems in the plane ⋮ Uniform boundedness of iterates of analytic mappings implies linearization: a simple proof and extensions ⋮ Damped Perturbations of Systems with Center-Saddle Bifurcation ⋮ Resonances in asymptotically autonomous systems with a decaying chirped-frequency excitation ⋮ The nonautonomous function-theoretic center problem

This page was built for publication: STABLE AND OSCILLATING MOTIONS IN NONAUTONOMOUS DYNAMICAL SYSTEMS. A GENERALIZATION OF C. L. SIEGEL'S THEOREM TO THE NONAUTONOMOUS CASE