Nonlinear differential equations with fractional damping with applications to the 1dof and 2dof pendulum

DOI10.1007/s00707-005-0220-8zbMath1069.70012OpenAlexW2084562241MaRDI QIDQ2484217

Andrzej Hanyga, Małgorzata Seredyńska

Publication date: 1 August 2005

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-005-0220-8

zbMATH Keywords

existenceuniquenessdissipativity

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Forced motions for nonlinear problems in mechanics (70K40)

Related Items (12)

Chaotic vibrations of the duffing system with fractional damping ⋮ Bifurcations analysis of a multiple attractors energy harvesting system with fractional derivative damping under random excitation ⋮ Hamiltonian Theory of Viscoelasticity ⋮ Stability analysis of multi-term fractional-differential equations with three fractional derivatives ⋮ Well posedness of a linearized fractional derivative fluid model ⋮ Long time behavior for a fractional Picard problem in a Hilbert space ⋮ A modified iteration perturbation method for some nonlinear oscillation problems ⋮ Modified Legendre operational matrix of differentiation for solving strongly nonlinear dynamical systems ⋮ Sufficient conditions for the exponential stability of nonlinear fractionally perturbed ODEs with multiple time delays ⋮ Dynamics and control of periodic and non-periodic behavior of Duffing vibrating system with fractional damping and excited by a non-ideal motor ⋮ On the rest state stability of an objective fractional derivative viscoelastic fluid model ⋮ Dynamical Response of a Van der Pol System with an External Harmonic Excitation and Fractional Derivative

Uses Software

• FracPECE

Cites Work

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