
Non-linear time series models for non-linear vibrations are presented. Some typical behaviour of non-linear vibrations generated from Duffing's equation or van der Pol's equation are explained through the models.
nonlinear random vibrations, autoregressive moving average model, Stochastic ordinary differential equations (aspects of stochastic analysis), nonlinear stochastic differential equation, limit cycle, Time series, auto-correlation, regression, etc. in statistics (GARCH), Duffing equation, Inference from stochastic processes, van der Pol equation, nonlinear time series models, amplitude-dependent frequency, jump phenomena
nonlinear random vibrations, autoregressive moving average model, Stochastic ordinary differential equations (aspects of stochastic analysis), nonlinear stochastic differential equation, limit cycle, Time series, auto-correlation, regression, etc. in statistics (GARCH), Duffing equation, Inference from stochastic processes, van der Pol equation, nonlinear time series models, amplitude-dependent frequency, jump phenomena
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