DOI: 10.1038/nphys515. Probing rare physical trajectories with Lyapunov weighted dynamics

Probing rare physical trajectories with Lyapunov weighted dynamics

10.1038/nphys515

Crossref journal-article

Springer Science and Business Media LLC

Nature Physics (297)

Bibliography

Tailleur, J., & Kurchan, J. (2007). Probing rare physical trajectories with Lyapunov weighted dynamics. Nature Physics, 3(3), 203â207.

Authors 2

Julien Tailleur (first)
Jorge Kurchan (additional)

References 20 Referenced 101

Laskar, J. A numerical experiment on the chaotic behaviour of the Solar System. Nature 338, 237–238 (1989). (10.1038/338237a0) / Nature by J Laskar (1989)
Murray, N. & Holman, M. The origin of chaos in the outer solar system. Science 283, 1877–1881 (1999). (10.1126/science.283.5409.1877) / Science by N Murray (1999)
Murray, N. & Holman, M. The role of chaotic resonances in the Solar System. Nature 410, 773–779 (2001). (10.1038/35071000) / Nature by N Murray (2001)
Cretegny, T., Dauxois, T., Ruffo, S. & Torcini, A. Localization and equipartition of energy in the beta-FPU chain: Chaotic breathers. Physica D 121, 109–126 (1998). (10.1016/S0167-2789(98)00107-9) / Physica D by T Cretegny (1998)
Trombettoni, A. & Smerzi, A. Discrete solitons and breathers with dilute Bose–Einstein condensates. Phys. Rev. Lett. 86, 2353–2356 (2001). (10.1103/PhysRevLett.86.2353) / Phys. Rev. Lett. by A Trombettoni (2001)
Grassberger, P., Badii, R. & Politi, A. Scaling laws for invariant measures on hyperbolic and nonhyperbolic atractors. J. Stat. Phys. 51, 135–178 (1988). (10.1007/BF01015324) / J. Stat. Phys. by P Grassberger (1988)
Benzi, R., Paladin, G., Parisi, G. & Vulpiani, A. Characterisation of intermittency in chaotic systems. J. Phys. A: Math. Gen. 18, 2157–2165 (1985). (10.1088/0305-4470/18/12/013) / J. Phys. A: Math. Gen. by R Benzi (1985)
Cvitanovic, P. & Vattay, G. Entire Fredholm Determinants for evaluation of semiclassical and thermodynamical spectra. Phys. Rev. Lett. 71, 4138–4141 (1993). (10.1103/PhysRevLett.71.4138) / Phys. Rev. Lett. by P Cvitanovic (1993)
Tailleur, J., Tanase-Nicola, S. & Kurchan, J. Kramers equation and supersymmetry. J. Stat. Phys. 122, 557–595 (2006). (10.1007/s10955-005-8059-x) / J. Stat. Phys. by J Tailleur (2006)
Bohr, T. & Rand, D. The entropy function for characteristic exponents. Physica D 25, 387–398 (1987). (10.1016/0167-2789(87)90112-6) / Physica D by T Bohr (1987)
Gaspard, P. & Dorfman, J. R. Chaotic scattering theory, thermodynamic formalism, and transport coefficients. Phys. Rev. E 52, 3525–3552 (1995). (10.1103/PhysRevE.52.3525) / Phys. Rev. E by P Gaspard (1995)
Ott, E. Chaos in Dynamical Systems (Cambridge Univ. Press, Cambridge, 1993). / Chaos in Dynamical Systems by E Ott (1993)
Cartwright, J. H. E., Magnasco, M. O., Piro, O. & Tuval, I. Bailout embeddings and neutrally Buoyant particles in three-dimensional flows. Phys. Rev. Lett. 89, 264501 (2002). (10.1103/PhysRevLett.89.264501) / Phys. Rev. Lett. by JHE Cartwright (2002)
Lichtenberg, A. L. & Lieberman, M. A. Regular and Chaotic Dynamics (Springer, Berlin, 1992). (10.1007/978-1-4757-2184-3) / Regular and Chaotic Dynamics by AL Lichtenberg (1992)
Arnol’d, V. I. Instability of dynamical systems with many degrees of freedom. Dokl. Akad. Nauk SSSR 156, 9 (1964). / Dokl. Akad. Nauk SSSR by VI Arnol’d (1964)
Robin, D., Steire, C., Laskar, J. & Nadolski, L. Global dynamics of the advanced light source revealed through experimental frequency map analysis. Phys. Rev. Lett. 85, 558–561 (2000). (10.1103/PhysRevLett.85.558) / Phys. Rev. Lett. by D Robin (2000)
Laskar, J. Frequency-analysis for multidimensional systems—global dynamics and diffusion. Physica D 67, 257–281 (1993). / Physica D by J Laskar (1993)
Froeschle, C., Guzzo, M. & Legga, E. Graphical evolution of the Arnold web: From order to chaos. Science 289, 2108–2110 (2000). (10.1126/science.289.5487.2108) / Science by C Froeschle (2000)
Laskar, J. Large-scale chaos in the solar-system. Astron. Astrophys. 287, L9–L12 (1994). / Astron. Astrophys. by J Laskar (1994)
Bolhuis, P. G., Chandler, D., Dellago, C. & Geissler, P. L. Transition path sampling: Throwing ropes over rough mountain passes, in the dark. Annu. Rev. Phys. Chem. 53, 291–318 (2002). (10.1146/annurev.physchem.53.082301.113146) / Annu. Rev. Phys. Chem. by PG Bolhuis (2002)

Dates

Type	When
Created	18 years, 7 months ago (Feb. 4, 2007, 1:11 p.m.)
Deposited	2 years, 3 months ago (May 18, 2023, 8:11 p.m.)
Indexed	1 month ago (July 31, 2025, 11:47 p.m.)
Issued	18 years, 7 months ago (Feb. 4, 2007)
Published	18 years, 7 months ago (Feb. 4, 2007)
Published Online	18 years, 7 months ago (Feb. 4, 2007)
Published Print	18 years, 6 months ago (March 1, 2007)

Funders 0

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BibTeX

@article{Tailleur_2007, title={Probing rare physical trajectories with Lyapunov weighted dynamics}, volume={3}, ISSN={1745-2481}, url={http://dx.doi.org/10.1038/nphys515}, DOI={10.1038/nphys515}, number={3}, journal={Nature Physics}, publisher={Springer Science and Business Media LLC}, author={Tailleur, Julien and Kurchan, Jorge}, year={2007}, month=feb, pages={203–207} }

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