[图书][B] Mathematical aspects of classical and celestial mechanics

VI Arnolʹd, VV Kozlov, AI Neishtadt, I Iacob - 2006 - Springer
In this book we describe the basic principles, problems, and methods of cl-sical mechanics.
Our main attention is devoted to the mathematical side of the subject. Although the physical …

[图书][B] Microscopic dynamics of plasmas and chaos

Y Elskens - 2019 - taylorfrancis.com
Microscopic Dynamics of Plasmas and Chaos discusses the resonant wave-particle
interaction in plasmas, provides the tools for chaotic Hamiltonian dynamics, and describes a …

Contributions of plasma physics to chaos and nonlinear dynamics

DF Escande - Plasma Physics and Controlled Fusion, 2016 - iopscience.iop.org
This review focusses on the contributions of plasma physics to chaos and nonlinear
dynamics bringing new methods which are or can be used in other scientific domains. It …

Omnigenity and quasihelicity in helical plasma confinement systems

JR Cary, SG Shasharina - Physics of Plasmas, 1997 - pubs.aip.org
Omnigenous stellarators, those with bounce averaged drifts lying within the magnetic
surfaces, form a much larger class than quasihelical stellarators (ie, with magnetic-field …

[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 …

Analytical treatment of planetary resonances

K Batygin, A Morbidelli - Astronomy & Astrophysics, 2013 - aanda.org
An ever-growing observational aggregate of extrasolar planets has revealed that systems of
planets that reside in or near mean-motion resonances are relatively common. While the …

Dynamical evolution of multi-resonant systems: The case of GJ 876

K Batygin, KM Deck, MJ Holman - The Astronomical Journal, 2015 - iopscience.iop.org
The GJ 876 system was among the earliest multi-planetary detections outside of the Solar
System, and has long been known to harbor a resonant pair of giant planets. Subsequent …

On the spin-axis dynamics of a moonless Earth

G Li, K Batygin - The Astrophysical Journal, 2014 - iopscience.iop.org
The variation of a planet's obliquity is influenced by the existence of satellites with a high
mass ratio. For instance, Earth's obliquity is stabilized by the Moon and would undergo …

Stable periodic motions in the problem on passage through a separatrix

AI Neishtadt, VV Sidorenko… - Chaos: An Interdisciplinary …, 1997 - pubs.aip.org
A Hamiltonian system with one degree of freedom depending on a slowly periodically
varying in time parameter is considered. For every fixed value of the parameter there are …

Probability phenomena due to separatrix crossing

AI Neishtadt - Chaos: An Interdisciplinary Journal of Nonlinear …, 1991 - pubs.aip.org
The effect of a small or slow perturbation on a Hamiltonian system with one degree of
freedom is considered. It is assumed that the phase portrait (''phase plane'') of the …