A classical limit-cycle system that mimics the quantum-mechanical harmonic oscillator

DOI10.1016/j.physd.2017.08.003zbMath1378.34063OpenAlexW2751462497MaRDI QIDQ1691279

Yair Zarmi

Publication date: 15 January 2018

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2017.08.003

zbMATH Keywords

limit cyclesquantum-mechanical harmonic oscillatorperturbed oscillator

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Cites Work

• Dissipation and quantization for composite systems
• On the origin of quantum mechanics
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The electrodynamic 2-body problem and the origin of quantum mechanics
• On the classical descriptions of the quantum phenomena in the harmonic oscillator and in a charged particle under the coulomb force
• Quantum behavior of deterministic systems with information loss: path integral approach
• Normal Forms and Unfoldings for Local Dynamical Systems
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