On the dynamics of the Holstein model from the anticontinuous limit

Journal of Mathematical Physics

Volumn 40, Issue 8, 1999, Pages 3710-3717

  Bambusi, Dario ^a  

^a Dipartimento di Matematica dell'Universita   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033241149     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532921     Document Type: Article

References (10)

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3. D. Bambusi, "Exponential stability of breathers in Hamiltonian chains of weakly coupled oscillators," Nonlinearity 9, 433-457 (1996).
4. D. Bambusi, "Long time stability of some small amplitude solutions in nonlinear Schrödinger equations," Commun. Math. Phys. 189, 205-226 (1997).
5. S. Aubry, "Breathers in nonlinear lattices: Existence, linear stability, and quantization," Physica D 103, 201-250 (1997).
6. P. Lochak, "Canonical perturbation theory via simultaneous approximation," Usp. Mat. Nauk 47, 59-140 (1992); English translation, Russ. Math. Surv. 47, 57-133 (1992).
7. P. Lochak, "Canonical perturbation theory via simultaneous approximation," Usp. Mat. Nauk 47, 59-140 (1992); English translation, Russ. Math. Surv. 47, 57-133 (1992).
8. D. Bambusi, "Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations," Math. Z. 230, 345-387 (1999).
9. L. Niederman, "Nonlinear stability around an elliptic equilibrium point in a Hamiltonian system," Nonlinearity 11, 1465-1479 (1998).
10. J. Pöschel, "On Nekhoroshev estimates for a nonlinear Schrödinger equation and a theorem by Bambusi" (preprint, 1998).