Frobenius-Perron operator;
transfer operator;
nonlinear dynamical systems;
partial differential equations;
coupled map lattice;
system identification;
D O I:
10.1016/S0375-9601(03)00914-9
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
The Letter introduces a general stochastic coupled lattice map model together with an algorithm to estimate the nodal equations involved based only on a small set of observable variables and in the presence of stochastic perturbations. More general forms of the Frobenius-Perron and the transfer operators, which describe the evolution of densities under the action of the CML transformation, are derived. (C) 2003 Elsevier B.V. All rights reserved.