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The interplay between chaos and thermalization in weakly non-integrable systems is a rich and complex subject.
Studies of the nonlinear problems
E. Fermi, J. Pasta, S. Ulam, and M. Tsingou · 1955
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Conference on neutron physics by time-of-flight held at gatlinburg, tennessee, november 1 and 2, 1956
R. C. Block, W. M. Good, J. A. Harvey, H. W. Schmitt, and G.T. eds. Trammell · 1957
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Interaction of ‘Solitons’ in a Collisionless Plasma and the Recurrence of Initial States
N. J. Zabusky and M. D. Kruskal · 1965
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The fluctuation-dissipation theorem
R. Kubo · 1966
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Vibration of a Chain with Nonlinear Interaction
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A multiplicative ergodic theorem. lyapunov characteristic numbers for dynamical systems
V. I. Oseledets · 1968
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The superperiod of the nonlinear weighted string (FPU) problem
J. L. Tuck and M. T Menzel · 1972
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Level clustering in the regular spectrum
M. V. Berry, M. Tabor, and J. M. Ziman · 1977
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Regular and irregular motion
M. V. Berry · 1978
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Lyapunov characteristic exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. part 2: Numerical application
G. Benettin, L. Galgani, A. Giorgilli, and J.-M. Strelcyn · 1980
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Characterization of chaotic quantum spectra and universality of level fluctuation laws
O. Bohigas, M. J. Giannoni, and C. Schmit · 1984
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Comparison of different methods for computing lyapunov exponents
K. Geist, U. Parlitz, and W. Lauterborn · 1990
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Chaos in a double pendulum
T. Shinbrot, C. Grebogi, J. Wisdom, and J. A. Yorke · 1992
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Chaos in the one‐dimensional gravitational three‐body problem
J. Hietarinta and S. Mikkola · 1993
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The development of variable-step symplectic integrators, with application to the two-body problem
M. P. Calvo and J. M. Sanz-Serna · 1993
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Chaotic classical and half-classical adiabatic reactions: geometric magnetism and deterministic friction
M. V. Berry and J. M. Robbins · 1993
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Canonical runge—kutta—nyström methods of orders five and six
D. I. Okunbor and R. D. Skeel · 1994
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Geometric phases and anholonomy for a class of chaotic classical systems
C. Jarzynski · 1995
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Numerical calculation of lyapunov exponents
M. Sandri · 1996
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Predictability in the large: an extension of the concept of lyapunov exponent
E. Aurell, G. Boffetta, A. Crisanti, G. Paladin, and A. Vulpiani · 1997
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Geodesic deviation equation approach to chaos
J. Szczesny and T. Dobrowolski · 1999
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The approach to thermal equilibrium in quantized chaotic systems
M. Srednicki · 1999
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M. Demirplak and S. A. Rice · 2003
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Let us teach this generalization of the final-value theorem
Emanuel Gluskin · 2003
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Weak and strong chaos in fermi–pasta–ulam models and beyond
M. Pettini, L. Casetti, M. Cerruti-Sola, R. Franzosi, and E. G. D. Cohen · 2005
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Assisted adiabatic passage revisited
M. Demirplak and S. A. Rice · 2005
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q q -breathers in fermi-pasta-ulam chains: Existence, localization, and stability
S. Flach, M. V. Ivanchenko, and O. I. Kanakov · 2006
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The Fermi–Pasta–Ulam Problem and the Metastability Perspective , pages 151–189
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Counterdiabatic driving in the classical β \beta -fermi-pasta-ulam-tsingou chain
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