Quantum analogue of unstable limit cycles of a periodically perturbed inverted oscillator

DOI10.1134/S0040577919010021zbMath1419.81010OpenAlexW2938695173MaRDI QIDQ2313817

Yanyan Li

Publication date: 23 July 2019

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577919010021

zbMATH Keywords

collapsebifurcationlimit cycleperiodic perturbationdynamical stabilizationnonstationary Schrödinger equationgeneralized Gaussian typeinverted quantum oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Adaptive or robust stabilization (93D21) Coherent states (81R30) Perturbations in context of PDEs (35B20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations in context of PDEs (35B32)

Related Items (1)

Dynamics of driven Brownian inverted oscillator

Cites Work

• Coherent states of inverse oscillators and related problems
• Quantum tunneling effect of a driven inverted harmonic oscillator
• ON THE STABILITY OF PERIODICALLY TIME-DEPENDENT QUANTUM SYSTEMS
• Discrete repulsive oscillator wavefunctions
• Dissipative tunnelling of the inverted Caldirola-Kanai oscillator

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