Analytical solutions of systems with piecewise linear dynamics

International Journal of Bifurcation and Chaos

Volumn 20, Issue 2, 2010, Pages 509-518

  Kominis, Y ^a   Bountis, T ^b  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b UNIVERSITY OF PATRAS   (Greece)

Author keywords

Analytical solutions; Nonautonomous systems; Piecewise linear systems

Indexed keywords

DYNAMICAL SYSTEMS; LINEAR SYSTEMS;

AUTONOMOUS COMPONENTS; LINEAR PERIODIC SYSTEMS; NON-AUTONOMOUS SYSTEM; NONAUTONOMOUS; NONAUTONOMOUS DYNAMICAL SYSTEMS; PHYSICAL PHENOMENA; PIECE-WISE LINEAR SYSTEMS; PIECEWISE LINEAR;

PIECEWISE LINEAR TECHNIQUES;

EID: 77951606809     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127410025570     Document Type: Conference Paper

References (12)

1. Bountis, T. & Skokos, Ch. [2006] "Applications of the SALI detection method to accelerator mappings, " Nucl. Instr. Meth. Phys. Res. A 561, 173-179. (Pubitemid 43732536)
2. Carrigan, T. A., Huson, F. R. & Month, M. (eds.) [1982] Physics of High Energy Particle Accelerators, AIP Conf. Proc., Vol. 87 (A. I. P., NY).
3. Flach, S. & Gorbach, A. V. [2008] "Discrete breathersadvances in theory and applications, " Phys. Rep. 467, 1-116.
4. Guckenheimer, J. & Holmes, P. [1990] Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, Berlin).
5. Kominis, Y. [2006] "Analytical solitary wave solutions of the nonlinear Kronig-Penney model in photonic structures, " Phys. Rev. E 73, 066619. (Pubitemid 43937645)
6. Kominis, Y. & Hizanidis, K. [2006] "Lattice solitons in self-defocusing optical media: Analytical solutions of the nonlinear Kronig-Penney model, " Opt. Lett. 31, 2888-2890. (Pubitemid 44604044)
7. Kominis, Y., Papadopoulos, A. & Hizanidis, K. [2007] "Surface solitons in waveguide arrays: Analytical solutions, " Opt. Express. 15, 10041-10051. (Pubitemid 47230822)
8. Kominis, Y., Bountis, T. & Hizanidis K. [preprint] "Breathers in a Toda lattice with pulsating coupling, " preprint submitted for publication.
9. Month, M. & Herrera, J. (eds.) [1980] Nonlinear Dynamics and the Beam-Beam Interaction, AIP Conf. Proc., Vol. 57 (A. I. P., NY).
10. Rodrigues, A. S., Kevrekidis, P. G., Porter, M. A., Frantzeskakis, D. J., Schmelcher, P. & Bishop, A. R. [2008] "Matter-wave solitons with a periodic, piecewise-constant scattering length, " Phys. Rev. A 78, 013611.
11. Turchetti, G. & Scandale, W. (eds.) [1991] Future Prob - lems in Nonlinear Particle Accelerators (World Scientific, Singapore).
12. Wiggins, S. [1990] Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer-Verlag, Berlin).