A quantum saddle-node bifurcation in a \(1\: 1\) resonant perturbed oscillator with four parameters

DOI10.1016/S0034-4877(99)80168-2zbMath0964.81030MaRDI QIDQ1573824

Yoshio Uwano

Publication date: 9 August 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

\(1:1\) resonant perturbed oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum chaos (81Q50) Applications of dynamical systems (37N99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (1)

A quantum saddle-node bifurcation in a \(1\: 1\) resonant perturbed oscillator with four parameters

Cites Work

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• Reduction of the semisimple \(1:1\) resonance
• On resonant non linearly coupled oscillators with two equal frequencies
• A quantum saddle-node bifurcation in a \(1\: 1\) resonant perturbed oscillator with four parameters
• A Geometric Approach to a Quantum Counterpart of a Saddle-Node Bifurcation in a 1:1 Resonant Perturbed Oscillator

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