Exponentially Small Splitting of Separatrices for Whiskered Tori in Hamiltonian Systems
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics,Statistics and Probability
Link
http://link.springer.com/content/pdf/10.1007/s10958-005-0224-x.pdf
Reference22 articles.
1. G. Benettin, A. Carati, and G. Gallavotti, “A rigorous implementation of the Jeans-Landau-Teller approximation for adiabatic invariants,” Nonlinearity, 10, 479–505 (1997).
2. B. V. Chirikov, “A universal instability of many-dimensional oscillator systems,” Phys. Rep., 52, No.5, 263–379 (1979).
3. A. Delshams and P. Gutierrez, “Splitting potential and the Poincare-Melnikov method for whiskered tori in Hamiltonian systems,” J. Nonlinear Sci., 10, No.4, 433–476 (2000).
4. A. Delshams and P. Gutierrez, “Splitting and Melnikov potentials in Hamiltonian systems,” in: Hamiltonian Systems and Celestial Mechanics (HAMSYS-98). Proceedings of the III International Symposium (Mexico, 1998), J. Delgado, E. A. Lacomba, E. Perez-Chavela, and J. Llibre (eds.), World Sci. Publishing, Singapore (2000), pp. 111–137.
5. A. Delshams and P. Gutierrez, “Homoclinic orbits to invariant tori in Hamiltonian systems,” in: Multiple-Time-Scale Dynamical Systems, C. K. R. T. Jones and A. I. Khibnik (eds.), Springer-Verlag, New York (2001), pp. 1–27.
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