Generalization of the concept of attractor for pendulum systems with finite excitations

DOI10.1007/S10958-023-06495-XzbMath1523.70027OpenAlexW4379649716MaRDI QIDQ6113119

S. V. Donetskyi, A. Yu. Shvets

Publication date: 8 August 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06495-x

zbMATH Keywords

chaotic attractorregular attractormaximal attractor existencenonideal Sommerfeld-Kononenko system

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)

Related Items (1)

Nonisolated limit sets for some hydrodynamic systems with limited excitation

Cites Work

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• Asymptotic techniques and complex dynamics in weakly nonlinear forced mechanical systems
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• Dynamics of an unbalanced shaft interacting with a limited power supply
• Scenarios of transitions to hyperchaos in nonideal oscillating systems
• Nonlinear Faraday resonance
• Stability of forced oscillations of a spherical pendulum
• Deterministic chaos of a spherical pendulum under limited excitation

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