Periodic Solutions in One-Dimensional Coupled Map Lattices

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ZHENG Yong-ai, LIU Zeng-rong. Periodic Solutions in One-Dimensional Coupled Map Lattices[J]. Applied Mathematics and Mechanics, 2003, 24(5): 461-465.

Citation:

ZHENG Yong-ai, LIU Zeng-rong. Periodic Solutions in One-Dimensional Coupled Map Lattices[J]. Applied Mathematics and Mechanics, 2003, 24(5): 461-465.

Citation:

ZHENG Yong-ai, LIU Zeng-rong. Periodic Solutions in One-Dimensional Coupled Map Lattices[J]. Applied Mathematics and Mechanics, 2003, 24(5): 461-465.

[1]	Crutchfield J P,Kaneko K.Phenomenology of spatio-temporal chaos directions in chaos[J].World Scientific Secries Directions in Condensed Matler Physics,1987,1(3):272-353.
[2]	Kaneko K. Pattern dynamics in spatiotemporal chaos[J].Physica D,1989,34(1):1-41.
[3]	Coutinho R,Fernandez B. Extended symbolic dynamic in bistable CML:Existence and stability of fronts[J].Physica D,1997,108(1):60-80.
[4]	Abel M,Spicci M.Nonlinear localized periodic solutions in a coupled map lattice[J].Physica D,1998,119(1):22-33.
[5]	Aubry S,Abramovici G.Chaotic trajectories in the standard map,the concept of anti-integrability[J].Physica D,1990,43(2):199-219.
[6]	Mackay R S, Aubry S.Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators[J].Nonlinearity,1994,7(6):1623-1643.
[7]	Aubry S.Breathers in nonlinear lattices:existence,linear stability and quantization[J].Physica D,1997,103(3):201-250.
[8]	Zeidler E.Nonlinear Functional Analysis and Its Applications,Fixed-Pointed Theorem[M].New York, Berlin, Heidelberg, Tokyo:Springer-Verlag,1986.
[9]	Baesens C,Mackay R S.Exponential localisation of linear response in networks with exponentially decaying coupling[J].Nonlinearity,1997,10(4):931-940.