ar X iv : c on d - m at / 9 30 50 01 v 1 3 M ay 1 99 3 One - dimensional asymmetrically coupled maps with defects
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چکیده
منابع مشابه
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We construct lattice Hamiltonians with homogeneous interaction potentials which allow for explicit breather solutions. Especially we obtain exponentially localized solutions for d-dimensional lattices with d = 2, 3.
متن کاملar X iv : s ol v - in t / 9 80 50 01 v 1 2 M ay 1 99 8 Analytical Study of the Julia Set of a Coupled Generalized Logistic Map
A coupled system of two generalized logistic maps is studied. In particular influence of the coupling to the behaviour of the Julia set in two dimensional complex space is analyzed both analytically and numerically. It is proved analytically that the Julia set disappears from the complex plane uniformly as a parameter interpolates from the chaotic phase to the integrable phase, if the coupling ...
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Two-particle annihilation reaction, A+A → inert, for immobile reactants on the Bethe lattice is solved exactly for the initially random distribution. The process reaches an absorbing state in which no nearest-neighbor reactants are left. The approach of the concentration to the limiting value is exponential. The solution reproduces the known one-dimensional result which is further extended to t...
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We investigate the gap formation probability of the effective one dimensional gas model recently proposed for the energy level statistics for disordered solids at the mobility edge. It is found that in order to get the correct form for the gap probability of this model, the thermodynamic limit must be taken very carefully. † [email protected] †† [email protected] To appear in the In...
متن کاملar X iv : c on d - m at / 9 60 50 49 v 1 8 M ay 1 99 6 Gap probability of a one - dimensional gas model
We investigate the gap formation probability of the effective one dimensional gas model recently proposed for the energy level statistics for disordered solids at the mobility edge. It is found that in order to get the correct form for the gap probability of this model, the thermodynamic limit must be taken very carefully. † [email protected] †† [email protected] To appear in the In...
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تاریخ انتشار 2008