Quantum kicked rotor and its variants: Chaos, localization and beyond

MS Santhanam, S Paul, JB Kannan - Physics Reports, 2022 - Elsevier
Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

The Lidov-Kozai oscillation and hugo von Zeipel

T Ito, K Ohtsuka - arXiv preprint arXiv:1911.03984, 2019 - arxiv.org
The so-called Lidov-Kozai oscillation is very well known and applied to various problems in
solar system dynamics. This mechanism makes the orbital inclination and eccentricity of the …

Punctuated chaos and the unpredictability of the Galactic Centre S-star orbital evolution

SF Portegies Zwart, TCN Boekholt… - Monthly Notices of the …, 2023 - academic.oup.com
We investigate the chaotic behaviour of the S-star cluster in the Galactic Centre using
precise N-body calculations, free from round-off or discretization errors. Our findings reveal …

Gargantuan chaotic gravitational three-body systems and their irreversibility to the Planck length

TCN Boekholt, SF Portegies Zwart… - Monthly Notices of the …, 2020 - academic.oup.com
Chaos is present in most stellar dynamical systems and manifests itself through the
exponential growth of small perturbations. Exponential divergence drives time irreversibility …

[图书][B] Dynamical Chaos in Planetary Systems

II Shevchenko - 2020 - Springer
The Astrophysics and Space Science Library is a series of high-level monographs and
edited volumes covering a broad range of subjects in Astrophysics, Astronomy, Cosmology …

Numerical verification of the microscopic time reversibility of Newton's equations of motion: Fighting exponential divergence

SFP Zwart, TCN Boekholt - … in Nonlinear Science and Numerical Simulation, 2018 - Elsevier
Numerical solutions to Newtons equations of motion for chaotic self gravitating systems of
more than 2 bodies are often regarded to be irreversible. This is due to the exponential …

Punctuated chaos and indeterminism in self-gravitating many-body systems

TCN Boekholt, SF Portegies Zwart… - International Journal of …, 2023 - World Scientific
Dynamical chaos is a fundamental manifestation of gravity in astrophysical, many-body
systems. The spectrum of Lyapunov exponents quantifies the associated exponential …

Gargantuan chaotic gravitational three-body systems II. Dependence on angular momentum and astrophysical scale

TCN Boekholt, SF Portegies Zwart - Monthly Notices of the Royal …, 2025 - academic.oup.com
Recently, we estimated that about 5 per cent of unstable supermassive black hole triple
systems are fundamentally unpredictable. These gargantuan chaotic systems are able to …

Gargantuan chaotic gravitational three-body systems II. Dependence on angular momentum and astrophysical scale

TCN Boekholt, SFP Zwart - arXiv preprint arXiv:2311.07651, 2023 - arxiv.org
Recently we estimated that about 5 percent of supermassive black hole triple systems are
fundamentally unpredictable. These gargantuan chaotic systems are able to exponentially …

Chaos in the vicinity of a singularity in the three-body problem: The equilateral triangle experiment in the zero angular momentum limit

HD Parischewsky, AA Trani, NWC Leigh - SciPost Physics Core, 2023 - scipost.org
We present numerical simulations of the gravitational three-body problem, in which three
particles lie at rest close to the vertices of an equilateral triangle. In the unperturbed problem …