Generalized nonlinear oscillators with quasi-harmonic behaviour: Classical solutions
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Publication:5499058
DOI10.1063/1.4906113zbMath1305.70040arXiv1407.8390OpenAlexW2080010593MaRDI QIDQ5499058
Publication date: 11 February 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.8390
Periodic solutions to ordinary differential equations (34C25) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05)
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Cites Work
- Unnamed Item
- Unnamed Item
- One-dimensional model of a quantum nonlinear harmonic oscillator
- A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour
- The quantum harmonic oscillator on the sphere and the hyperbolic plane
- Special function solutions of a spectral problem for a nonlinear quantum oscillator
- A quantum quasi-harmonic nonlinear oscillator with an isotonic term
- A non-linear oscillator with quasi-harmonic behaviour: two- andn-dimensional oscillators
- Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
- On a unique nonlinear oscillator
- Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
- A generalized quantum nonlinear oscillator
- Rational extension and Jacobi-type X m solutions of a quantum nonlinear oscillator
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