The stationary solution of a random dynamical model

Theoretical and Applied Mechanics Letters - Tập 4 - Trang 013007 - 2014
Wei Li1, Junfeng Zhao2, Natasa Trisovic3, Ruihong Li1
1School of Mathematics and Statistics, Xidian University, Xi'an, 710071, China
2Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, China
3Department of Mechanics, University of Belgrade, Belgrade 11120, Serbia

Tài liệu tham khảo

Cooley, 1995 Krugman, 2009 Rachev, 2010 Soize, 1994 Li, 2007, Stochastic stability and bifurcation in a macroeconomic model, Chaos, Soliton & Fractals, 31, 702, 10.1016/j.chaos.2005.10.024 Li, 2008, First-passage and its control in a macroeconomic model, Far East Journal of Applied Mathematics, 28, 1, 10.1155/2008/639145 Li, 2011, Chaos prediction and control of Goodwin's nonlinear accelerator model, Nonlinear Analysis: Real World Applications, 12, 1950, 10.1016/j.nonrwa.2010.12.011 Li, 2008, Response of nonlinear random business cycle model with time delay state feedback, Physica A: Statistical Mechanics and its Application, 23, 5844, 10.1016/j.physa.2008.06.017 Roberts, 2003 Hinch, 1991 Red-Horse, 1992, A generalization to stochastic averaging in random vibration, Int. J. Non-Linear Mechanics, 27, 85, 10.1016/0020-7462(92)90025-3 Zhu, 2003 Er, 1998, An improved closure method for analysis of nonlinear stochastic system, Nonlinear Dynamics, 17, 285, 10.1023/A:1008346204836 Er, 2000, Exponential closure method for some randomly excited non-linear systems, Int. J. Non-Linear Mechanics, 35, 69, 10.1016/S0020-7462(98)00088-2 Zhu, 2009, EPC procedure for PDF solution of non-linear oscillators excited by Possion white-noise, Int. J. Non-Linear Mechanics, 44, 304, 10.1016/j.ijnonlinmec.2008.12.003 Li, 2006, Bifurcation and chaos in a macroeconomic model, International Journal of Nonlinear Science and Numerical Simulation, 7, 431, 10.1515/IJNSNS.2006.7.4.431 Goodwin, 1951, The non-linear accelerator and the persistence of business cycles, Economitrica, 19, 1, 10.2307/1907905 Puu, 2004, A business cycle model with cubic nonlinearity, Chaos, Solitons & Fractals, 19, 597, 10.1016/S0960-0779(03)00132-2