Application of the GALI method to localization dynamics in nonlinear systems

Journal of Computational and Applied Mathematics

Volumn 227, Issue 1, 2009, Pages 17-26

  Bountis, T ^a   Manos, T ^a,b   Christodoulidi, H ^a  

^a UNIVERSITY OF PATRAS   (Greece)

^b AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

Chaotic motion; Dimension of tori; Discrete breathers; GALI method; Hamiltonian systems; Quasiperiodic motion; Standard map; Symplectic maps

Indexed keywords

DYNAMICS; HAMILTONIANS; MEATS; NONLINEAR SYSTEMS; STABILITY; STANDARDS;

CHAOTIC MOTION; DIMENSION OF TORI; DISCRETE BREATHERS; GALI METHOD; HAMILTONIAN SYSTEMS; QUASIPERIODIC MOTION; STANDARD MAP; SYMPLECTIC MAPS;

CHAOTIC SYSTEMS;

EID: 61849176412     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2008.07.034     Document Type: Article

References (13)

1. Antonopoulos Ch., and Bountis T. Stability of simple periodic orbits and chaos in a Fermi-Pasta-Ulam lattice. Phys. Rev. E 73 (2006) 056206
2. Antonopoulos Ch., and Bountis T. Detecting order and chaos by the linear dependence index. ROMAI J. 2 2 (2006) 1
3. Berman G.P., and Izrailev F.M. Chaos 15 (2005) 015104
4. Christodoulidi H., and Bountis T. Low-dimensional quasiperiodic motion in hamiltonian systems. ROMAI J. 2 2 (2006) 37
5. Flach S., and Gorbach A. Discrete breathers in Fermi-Pasta-Ulam lattices. Chaos 15 (2005) 1
6. Flach S., Ivanchenko M.V., and Kanakov O.I. q-Breathers in Fermi-Pasta-Ulam chains: Existence, localization and stability. Phys. Rev. E 73 3 (2006) 036618
7. Gorbach A.V., and Flach S. Compactlike discrete breathers in systems with nonlinear and nonlocal dispersive terms. Phys. Rev. E 72 (2005) 056607
8. MacKay R.S., and Meiss J.D. Hamiltonian Dynamical Systems (1987), Adam Hilger, Bristol
9. Maniadis P., and Bountis T. Quasiperiodic and chaotic breathers in a parametrically driven system without linear dispersion. Phys. Rev. E 73 (2006) 046211
10. T. Manos, Ch. Skokos, E. Athanassoula, T. Bountis, in: 19th Panhellenic Conference/Summer School Nonlinear Science and Comlexity, Thessaloniki, Greece, 2007 (nlin/0703037)
11. Skokos Ch. J. Phys. A 34 (2001) 10029
12. Skokos Ch., Bountis T., and Antonopoulos Ch. Physica D 231 (2007) 30
13. Ch. Skokos, T. Bountis, Ch. Antonopoulos, European Phys. J. (2008) (in press) (nlin/0802.1646)