Asymptotic resonance, modes interaction and subharmonic by Molteni G., Serra E., Tarallo M.

By Molteni G., Serra E., Tarallo M.

Show description

Read or Download Asymptotic resonance, modes interaction and subharmonic bifurcation PDF

Similar physics books

Atomic Physics 8: Proceedings of the Eighth International Conference on Atomic Physics, August 2–6, 1982, Göteborg, Sweden

The 8th overseas convention on Atomic Physics used to be held at Ch~lmers collage of know-how, Goteborg, Sweden on August 2-6, 1982. Following the culture confirmed by way of past meetings within the sequence, it used to be attended via 280 contributors from 24 nations. a complete of 28 invited talks have been introduced on the convention.

Additional resources for Asymptotic resonance, modes interaction and subharmonic bifurcation

Example text

Hence condition (64) cannot be satisfied, and we have an obstruction to the asymptotic resonance each time there are ternary relations of the type (63) satisfying (65). Now, the list (63) depends of course on the choice of the indexes i = j. To prove the statement we have then to distinguish many different cases, each time deciding whether (65) is fulfilled or not. 44 Assume first that 1 1 ≤ i < (N +1), 3 and notice that we can fit one of the ternary relations (77) only if γ = i. If we moreover set j = 2(N +1)/3 + i, then (65) is satisfied, preventing the asymptotic resonance of µi with µj .

14] W. Narkiewicz. Elementary and analytic theory of algebraic numbers. , Springer–Verlag, Berlin; PWN–Polish Scientific Publishers, Warsaw, 1990. [15] B. Rink. Symmetry and resonance in periodic FPU chains. Comm. Math. Phys. 3, 665–685. [16] B. Rink. Geometry and dynamics in Hamiltonian latices with applications to tha Fermi–Pasta–Ulam problem. D. Thesis, Universiteit Utrecht, 2003. A. Stuart. An introduction to bifurcation theory based on differential calculus. Nonlinear Anal. : Heriot–Watt Symposium, vol.

Geometry and dynamics in Hamiltonian latices with applications to tha Fermi–Pasta–Ulam problem. D. Thesis, Universiteit Utrecht, 2003. A. Stuart. An introduction to bifurcation theory based on differential calculus. Nonlinear Anal. : Heriot–Watt Symposium, vol. IV pp. 76–135, Res. Notes in Math. 39, Pitman, Boston, 1979. [18] M. Toda. Theory of nonlinear lattices. Second ed. Springer Series in Solid– State Sciences, 20. Springer–Verlag, Berlin, 1989.

Download PDF sample

Rated 4.46 of 5 – based on 21 votes