On the stability of a nonlinear oscillator with higher derivatives
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Publication:895033
DOI10.1007/s11182-015-0419-7zbMath1326.70050OpenAlexW2105289975MaRDI QIDQ895033
Simon L. Lyakhovich, Dmitry S. Kaparulin
Publication date: 26 November 2015
Published in: Russian Physics Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11182-015-0419-7
Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)
Related Items (8)
\(\mathcal{N} = 2\) supersymmetric odd-order Pais-Uhlenbeck oscillator ⋮ \(l\)-conformal Newton-Hooke symmetry of the damped Pais-Uhlenbeck oscillator ⋮ Third order extensions of 3d Chern-Simons interacting to gravity: Hamiltonian formalism and stability ⋮ Extension of the Chern-Simons theory: conservation laws, Lagrange structures, and stability ⋮ BRST deformations and stability in the higher derivative Chern–Simons gauge theory ⋮ Superfield approach to higher derivative \(\mathcal{N} = 1\) superconformal mechanics ⋮ Remark on higher-derivative mechanics with l-conformal Galilei symmetry ⋮ Pais–Uhlenbeck oscillator and negative energies
Cites Work
- \(f(R)\) theories
- Benign vs. malicious ghosts in higher-derivative theories
- On higher derivatives in 3D gravity and higher-spin gauge theories
- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>theories of gravity
- Giving up the ghost
- Rigid symmetries and conservation laws in non-Lagrangian field theory
- Remarks on quantization of Pais–Uhlenbeck oscillators
- On Field Theories with Non-Localized Action
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