PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2013 | 11 | 12 | 1638-1644
Tytuł artykułu

Stability bands for moving solitons in uniform and inhomogeneous damped ac-driven circular Toda lattices

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
By means of systematic simulations, we study the motion of discrete solitons in weakly dissipative Toda lattices (TLs) with periodic boundary conditions, resonantly driven by a spatially staggered time-periodic (ac) force. A complex set of alternating stability bands and instability gaps, including scattered isolated stability points, is revealed in the parametric plane of the soliton’s velocity and forcing amplitude for a given size of the circular lattice. The analysis is also reported for the circular TL including a single light- or heavymass defect. The stability chart as a whole shrinks and eventually disappears with the increase of the lattice’s size and strength of the mass defect. Qualitative explanations to these findings are proposed. We also report the dependence of the stability area on the initial position of the soliton, finding that the area is largest for some intersite position. For a pair of solitons traveling in opposite directions, there exist regimes where both solitons survive periodic collisions in small-size lattices.
Słowa kluczowe
Wydawca

Czasopismo
Rocznik
Tom
11
Numer
12
Strony
1638-1644
Opis fizyczny
Daty
wydano
2013-12-01
online
2013-12-20
Twórcy
  • Departamento de Física, Universidad de Santiago de Chile, Av. Ecuador 3493, 9170124, Santiago, Chile, lautaro.vergara@usach.cl
  • Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, 69978, Tel Aviv, Israel, malomed@post.tau.ac.il
Bibliografia
  • [1] M. Sato, B. E. Hubbard, A. J. Sievers, Rev. Mod. Phys. 78, 137 (2006) http://dx.doi.org/10.1103/RevModPhys.78.137[Crossref]
  • [2] F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, Y. Silberberg, Phys. Rep. 463, 1 (2008) http://dx.doi.org/10.1016/j.physrep.2008.04.004[Crossref]
  • [3] Y. V. Kartashov, B. A. Malomed, L. Torner, Rev. Mod. Phys. 83, 247 (2011) http://dx.doi.org/10.1103/RevModPhys.83.247[Crossref]
  • [4] T. Dauxois, R. MacKay, G. Tsironis (Ed.), Nonlinear Physics: Condensed Matter, Dynamical, Systems and Biophysics - A Special Issue dedicated to Serge Aubry, Physica D 216,Issue 1, 1–246 (2006)
  • [5] M. Toda, J. Phys. Soc. Jpn. 23, 501 (1967) http://dx.doi.org/10.1143/JPSJ.23.501[Crossref]
  • [6] M. Toda, Phys. Rep. 18, 1 (1973) http://dx.doi.org/10.1016/0370-1573(75)90018-6[Crossref]
  • [7] T. Kuusela, J. Hietarinta, Physica D 41, 322 (1990) http://dx.doi.org/10.1016/0167-2789(90)90002-7[Crossref]
  • [8] G. Friesecke, J. A. D. Wattis, Comm. Math. Phys. 161, 391 (1994) http://dx.doi.org/10.1007/BF02099784[Crossref]
  • [9] N. J. Zabusky, Z. Sun, G. Peng, Chaos 16, 013130 (2006) http://dx.doi.org/10.1063/1.2165592[Crossref]
  • [10] T. Jin, H. Zhao, B. B. Hu, Phys. Rev. E 81, 037601 (2010) http://dx.doi.org/10.1103/PhysRevE.81.037601[Crossref]
  • [11] A. Nakamura, S. Takeno, Progr. Theor. Phys. 58, 1074 (1977) http://dx.doi.org/10.1143/PTP.58.1074[Crossref]
  • [12] A. Nakamura, Progr. Theor. Phys. 59, 1447 (1978) http://dx.doi.org/10.1143/PTP.59.1447[Crossref]
  • [13] F. Yoshida, T. Sakuma, Progr. Theor. Phys. 67, 1379 (1982) http://dx.doi.org/10.1143/PTP.67.1379[Crossref]
  • [14] T. Iizuka, M. Wadati, J. Phys. Soc. Jpn. 62, 1932 (1993) http://dx.doi.org/10.1143/JPSJ.62.1932[Crossref]
  • [15] G. Matsui, J. Phys. Soc. Jpn. 65, 2447 (1996) http://dx.doi.org/10.1143/JPSJ.65.2447[Crossref]
  • [16] M. Leo, R. A. Leo, A. Scarsella, G. Soliani, Eur. Phys. J. D 11, 327 (2000) http://dx.doi.org/10.1007/s100530070059[Crossref]
  • [17] L. Vergara, B. A. Malomed, Phys. Rev. E 77, 047601 (2008) http://dx.doi.org/10.1103/PhysRevE.77.047601[Crossref]
  • [18] A. Nakamura, Progr. Theor. Phys. 61, 427 (1979) http://dx.doi.org/10.1143/PTP.61.427[Crossref]
  • [19] A. Nakamura, S. Takeno, Progr. Theor. Phys. 62, 33 (1979) http://dx.doi.org/10.1143/PTP.62.33[Crossref]
  • [20] Y. Kubota, T. Odagaki, Phys. Rev. E 71, 016605 (2005) http://dx.doi.org/10.1103/PhysRevE.71.016605[Crossref]
  • [21] Y. Kubota, T. Odagaki, J. Phys. A: Math. Gen. 39, 12343 (2006) http://dx.doi.org/10.1088/0305-4470/39/40/004[Crossref]
  • [22] L. Vergara, Phys. Rev. Lett. 95, 108002 (2005) http://dx.doi.org/10.1103/PhysRevLett.95.108002[Crossref]
  • [23] L. L. Bonilla, B. A. Malomed, Phys. Rev. B 43, 11539 (1991) http://dx.doi.org/10.1103/PhysRevB.43.11539[Crossref]
  • [24] B. A. Malomed, Phys. Rev. A 45, 4097 (1992) http://dx.doi.org/10.1103/PhysRevA.45.4097[Crossref]
  • [25] T. Kuusela, J. Hietarinta, B.A. Malomed, J. Phys. A: Math. Gen. 26, L21 (1993) http://dx.doi.org/10.1088/0305-4470/26/1/005[Crossref]
  • [26] K. O. Rasmussen, B. A. Malomed, A. R. Bishop, N. Gronbech-Jensen, Phys. Rev. E 58, 6695 (1998) http://dx.doi.org/10.1103/PhysRevE.58.6695[Crossref]
  • [27] T. Kuusela, Phys. Lett. A 167, 54 (1992) http://dx.doi.org/10.1016/0375-9601(92)90625-V[Crossref]
  • [28] T. Kuusela, Chaos Sol. Fract. 5, 2419 (1995) http://dx.doi.org/10.1016/0960-0779(94)E0107-Z[Crossref]
  • [29] J. Hietarinta, T. Kuusela, B. A. Malomed, J. Phys. A: Math. Gen. 28, 3015 (1995) http://dx.doi.org/10.1088/0305-4470/28/11/007[Crossref]
  • [30] E. Hairer, S. P. Norset, G. Wanner, Solving Ordinary Differential Equations: I. Nonstiff Problems, 2nd Edition, Springer Series in Computational Mathematics vol. 8 (Springer-Verlag, Berilin-Heidelberg, 1993)
  • [31] H. -C. Chang, E. A. Demekhin, D. I. Kopelevich, Phys. Rev. Lett. 75, 1747 (1995) http://dx.doi.org/10.1103/PhysRevLett.75.1747[Crossref]
  • [32] B. A. Malomed, B. -F. Feng, T. Kawahara, Phys. Rev. E 64, 046304 (2001) http://dx.doi.org/10.1103/PhysRevE.64.046304[Crossref]
  • [33] E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1993)
  • [34] E. Hairer, G. Wanner, Solving Ordinary Differential Equations: II. Stiff and Differential-Algebraic Problems (Springer-Verlag, Berlin-Heidelberg, 1991) http://dx.doi.org/10.1007/978-3-662-09947-6[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-013-0281-6
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.