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A discrete nonlinear model of real estate is derived,with which the evolutionary trendamong government,consumers and real estate developers is described.The stability,bifurcation,andchaotic behavior of the system are also analyzed by using nonlinear dynamic method.Results show thatchaos can be obtained via quasi-periodic transition and double-periodic bifurcation.The influence ofdynamic evolutionary trend among stakeholder on system stability is also studied and some interestingconclusions are derived.This research can effectively explain the complex behavior of housing prices.
A discrete nonlinear model of real estate is derived, with which the evolutionary trend of government, consumers and real estate developers is described. Stability, bifurcation, andchaotic behavior of the system are also analyzed by using nonlinear dynamic method. Results show thatchaos can be obtained via quasi-periodic transition and double-periodic bifurcation. The influence of dynamic evolutionary trend among stakeholder on system stability is also studied and some interestingconclusions are derived. This research can effectively explain the complex behavior of housing prices.