Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. Part 1: Theory
Summary Since several years Lyapunov Characteristic Exponents are of interest in the study
of dynamical systems in order to characterize quantitatively their stochasticity properties …
of dynamical systems in order to characterize quantitatively their stochasticity properties …
[图书][B] Regular and stochastic motion
AJ Lichtenberg, MA Lieberman - 2013 - books.google.com
This book treats stochastic motion in nonlinear oscillator systems. It describes a rapidly
growing field of nonlinear mechanics with applications to a number of areas in science and …
growing field of nonlinear mechanics with applications to a number of areas in science and …
Canonical dynamics of the Nosé oscillator: Stability, order, and chaos
HA Posch, WG Hoover, FJ Vesely - Physical review A, 1986 - APS
Nosé has developed many-body equations of motion designed to reproduce Gibbs's
canonical phase-space distribution. These equations of motion have a Hamiltonian basis …
canonical phase-space distribution. These equations of motion have a Hamiltonian basis …
The Lyapunov characteristic exponents and their computation
C Skokos - Dynamics of Small Solar System Bodies and …, 2009 - Springer
We present a survey of the theory of the Lyapunov Characteristic Exponents (LCEs) for
dynamical systems, as well as of the numerical techniques developed for the computation of …
dynamical systems, as well as of the numerical techniques developed for the computation of …
Fast Lyapunov indicators. Application to asteroidal motion
C Froeschlé, E Lega, R Gonczi - Celestial Mechanics and Dynamical …, 1997 - Springer
We present a very simple and fast method to separate chaotic from regular orbits for non-
integrable Hamiltonian systems. We use the standard map and the Hénon and Heiles …
integrable Hamiltonian systems. We use the standard map and the Hénon and Heiles …
An overview of the dynamics of intramolecular transfer of vibrational energy
SA Rice - Advances in Chemical Physics, 2009 - books.google.com
An overview of the dynamics of intramolecular transfer of vibrational energy Page 133 AN
OVERVIEW OF THE DYNAMICS OF INTRAMOLECULAR TRANSFER OF VIBRATIONAL …
OVERVIEW OF THE DYNAMICS OF INTRAMOLECULAR TRANSFER OF VIBRATIONAL …
Geometrical properties of local dynamics in Hamiltonian systems: The Generalized Alignment Index (GALI) method
We investigate the detailed dynamics of multi-dimensional Hamiltonian systems by studying
the evolution of volume elements formed by unit deviation vectors about their orbits. The …
the evolution of volume elements formed by unit deviation vectors about their orbits. The …
Intramolecular vibrational energy redistribution and the quantum ergodicity transition: a phase space perspective
S Karmakar, S Keshavamurthy - Physical Chemistry Chemical Physics, 2020 - pubs.rsc.org
Intramolecular vibrational energy redistribution (IVR) impacts the dynamics of reactions in a
profound way. Theoretical and experimental studies are increasingly indicating that …
profound way. Theoretical and experimental studies are increasingly indicating that …
[HTML][HTML] On the exponential instability of N-body systems
J Goodman, DC Heggie, P Hut - Astrophysical Journal v. 415, p …, 1993 - adsabs.harvard.edu
We reconsider the old problem of the growth of numerical errors in N-body integrations. We
analyze the effects of successive encounters and show that these tend to magnify errors on …
analyze the effects of successive encounters and show that these tend to magnify errors on …
[图书][B] A normal form approach to the theory of nonlinear betatronic motion
A Bazzani, G Servizi, G Turchetti, E Todesco - 1994 - cds.cern.ch
The betatronic motion of a particle in a circular accelerator is analysed using the transfer
map description of the magnetic lattice. In the linear case the transfer matrix approach is …
map description of the magnetic lattice. In the linear case the transfer matrix approach is …