A new relativistic extension of the harmonic oscillator satisfying an isochronicity principle

DOI10.1007/s12346-016-0207-yzbMath1391.83006OpenAlexW2466739672MaRDI QIDQ1641974

Pedro J. Torres, Daniel de la Fuente

Publication date: 20 June 2018

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-016-0207-y

zbMATH Keywords

special relativityisochronousrelativistic harmonic oscillator

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Nonlinear dynamics in mechanics (70K99) Special relativity (83A05) Kinematics of a particle (70B05)

Related Items (4)

Radiation of relativistic ‘harmonic’ oscillator ⋮ Lyapunov-type inequalities for a relativistic second-order differential equation ⋮ A relativistic gravity train ⋮ Nonexistence criteria of solutions for a class of second order differential equations with relativistic derivative

Cites Work

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• Theory of the Relativistic Oscillator
• Unchanged direction motion in general relativity: The problems of prescribing acceleration and the extensibility of trajectories
• General Relativity for Mathematicians
• Making the relativistic dynamics equationcovariant: explicit solutions for motion under a constant force
• Relativistic (Non-Linear) Oscillator
• PERIODIC SOLUTIONS OF THE RELATIVISTIC HARMONIC OSCILLATOR

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