A Geometric Approach to a Quantum Counterpart of a Saddle-Node Bifurcation in a 1:1 Resonant Perturbed Oscillator

DOI10.1142/S0218127498000759zbMath1109.81314MaRDI QIDQ4936212

Yoshio Uwano

Publication date: 24 January 2000

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Quantum chaos (81Q50)

Cites Work

• On resonant non linearly coupled oscillators with two equal frequencies
• Maslov's quantization conditions for the bound states of the hydrogen atom
• ON BIFURCATIONS IN THE SCHRÖDINGER PROBLEM ADMITTING OF AN EXISTENCE OF NONLINEAR SHIFT OPERATORS

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