▪ Abstract The physical basis of chaos in the solar system is now better understood: In all
cases investigated so far, chaotic orbits result from overlapping resonances. Perhaps the …

This book discusses in detail all the relevant numerical methods for the classical N-body
problem. It demonstrates how to develop clear and elegant algorithms for models of …

The dynamic instability of living systems and the “superposition” of different forms of
randomness are viewed, in this paper, as components of the contingently changing, or even …

As the obliquity of Mars is strongly chaotic, it is not possible to give a solution for its evolution
over more than a few million years. Using the most recent data for the rotational state of …

All magnetically ordered materials can be divided into two primary classes: ferromagnets,
and antiferromagnets. Since ancient times, ferromagnetic materials have found vast …

Over the past 25 yr, the science of stratigraphy has evolved to include time-correlative data
from vastly disparate components of the Earth system. Not least of these is the global signal …

It has been established that, owing to the proximity of a resonance with Jupiter, Mercury's
eccentricity can be pumped to values large enough to allow collision with Venus within 5 Gyr …

Using extensive integrations of the Solar System equations over Gyr time scales, it is shown
that the spacing of the inner planets could result from the presence of large scale chaos in …

We present here in full detail the evolution of the angular momentum deficit (AMD) during
collisions as it was described in Laskar (, Phys. Rev. Lett., 84, 3240). Since then, the AMD …

Atypical, rare trajectories of dynamical systems are important: they are often the paths for
chemical reactions, the haven of (relative) stability of planetary systems, the rogue waves …