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Parameter set estimation of systems with uncertain nonparametric dynamics and disturbances
Parameter set the parameter estimation system dynamics parameter estimation
2015/8/12
A method is presented for parameter set estimation of open-loop stable systems with uncertain parameters and quasi-stationary disturbances. The system model is assumed to contain both parametric and n...
Replicating financial market dynamics with a simple self-organized critical lattice model
Computational Finance (q-fin.CP) Adaptation and Self-Organizing Systems (nlin.AO)
2010/11/11
We explore a simple lattice field model intended to describe statistical properties of high frequency financial markets. The model is relevant in the cross-disciplinary area of econophysics. Its signa...
Simple model of bouncing ball dynamics: displacement of the table assumed as quadratic function of time
Chaotic Dynamics (nlin.CD)
2010/11/10
Nonlinear dynamics of a bouncing ball moving in gravitational field and colliding with a moving limiter is considered. Displacement of the limiter is a quadratic function of time. Several dynamical mo...
Asymmetric transport in the bouncer model: Mixed, time dependent, noncompact dynamics
Chaotic Dynamics (nlin.CD)
2010/11/10
We consider time-dependence of dynamical transport, following a recent study of the stadium billiard in which classical transmission and reflection probabilities were shown to exhibit exponential or a...
Molecular Distributions in Gene Regulatory Dynamics
Stochastic modelling；inducible/repressible operon
2010/12/16
We show how one may analytically compute the stationary density of the distribution of molecular constituents in populations of cells in the presence of noise arising from either bursting transcriptio...