The Transition to Chaos

DOI10.1007/978-3-030-63534-3zbMath1459.70001OpenAlexW4241802205MaRDI QIDQ5147450

L. E. Reichl

Publication date: 26 January 2021

Published in: Fundamental Theories of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-63534-3

zbMATH Keywords

KAM theoryquantum billiardsGutzwiller trace formularandom-matrix approach

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Quantum chaos (81Q50) Dynamical systems in classical and celestial mechanics (37N05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of particles and systems (70-01)

Related Items (4)

Quantum kicked rotor and its variants: chaos, localization and beyond ⋮ A dynamical interpretation of sequential decay in reactive scattering ⋮ Fractal structure of chaotic scattering in a simple hydrodynamic model with a point vortex embedded in a time-(quasi)periodic background flow ⋮ Semiclassical roots of universality in many-body quantum chaos

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