Nonlinear and complex dynamical systems
Vector dissipativity theory for discrete time large scale nonlinear dynamical systems
... Modern complex dynamical systems are highly interconnected and mutually interdepen- dent, both physically and through a multitude of information and communication net- work ...large-scale ...
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Management of complex dynamical systems
... stochastic systems, “nonlinearity” means “dependence” between ...weakly nonlinear systems (where for example a local Lyapunov function can be constructed to deduce asymptotic stability from an ...
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Bayesian System Identification of Nonlinear Dynamical Systems using a Fast MCMC Algorithm
... where M represents a candidate model, θ is a vector of parameters within that model and D is a set of training data. Suc- cessful evaluation of equation (1) gives a probability density function describing the ...
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Solvability of Nonlinear Sequential Fractional Dynamical Systems with Damping
... The theory of the fractional derivatives and integrals becomes increasingly more important for applications. Both the ordinary and the partial differential equations of fractional order have been used within the last few ...
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Improving Wilson θ and Newmark β Methods for Quasi Periodic Solutions of Nonlinear Dynamical Systems
... some nonlinear problems, sometimes the two methods would provide false results, especially when there are quasi-periodic or chaotic responses ...quasi-periodic nonlinear equation, and suggested a gradual ...
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New Algorithms for Uncertainty Quantification and Nonlinear Estimation of Stochastic Dynamical Systems
... stochastic dynamical systems is a challenging field that has received attention for over a ...in complex physical system has become a primary topic of research over the ...for systems having ...
201
Create accurate numerical models of complex spatio-temporal dynamical systems with holistic discretisation
... While centre manifold theory guarantees useful properties in the neighbour- hood of the fixed points in (c(x, y), γ, P ) space, we must evaluate the model (5.12) at γ = 1. However, the good properties that have been ...
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Efficient parameter identification and model selection in nonlinear dynamical systems via sparse Bayesian learning
... have fewer parameters than a complex nonlinear hysteretic model. The issue of dimensionality in MCMC schemes was identified early-on in [7] and the reversible-jump MCMC was devised as an algorithm for ...
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Modeling and controlling of stochastic dynamics of complex nonlinear systems
... Several dynamical variables of the system and the random force (when available 20 ) are recorded simultaneously, and then the statistics of all actual trajectories along which the system moves in a particular ...
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Integrated optimal control and parameter estimation algorithms for discrete time nonlinear stochastic dynamical systems
... The principle of model-reality differences has attracted the researchers to apply the DISOPE algorithm to solving real optimal control problems. These applications include fed-batch fermentation process (Becerra and ...
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Adaptive Control OF Nonlinear Multivariable Dynamical Systems Using MRAN-RBF Neural Networks
... many total training observations will be presented. A significant contribution to sequential learning was made by Platt [5] by proposing RAN in which hidden neurons were added sequentially based on the novelty of the new ...
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Artificial Biochemical Networks : Evolving Dynamical Systems to Control Dynamical Systems
... In this work, we use four discrete maps that capture the natural dynamics present in a range of biological and physical systems. The logistic map, which we have already discussed, is a model of biological ...
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Equivariant dynamical systems
... A Weak G-Transversality Isotopy Theorem This sectio~ is devoted to a proof ot a generalisation of Thom's Isotopy theorem to certain situations involving equivariant maps.The definition o[r] ...
218
On Adjoint Dynamical Systems
... The above results are referring only to generating supercategories S of adjoint dynamical systems, while Proposition 3 in I is referring to the "state space" X~ (o[r] ...
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Lessons learned on development and application of agent based models of complex dynamical systems
... real-world complex system that has been gained through simulation and analysis of any causal dynamics emerging from the experimental conditions that were ...
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Neural Network Adaptive Control for Discrete Time Nonlinear Nonnegative Dynamical Systems
... nonnegative dynamical systems that are necessary for developing the main results of this ...for nonlinear dynamical systems necessary for obtaining less conservative ultimate bounds for ...
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On dynamical systems
... We express the quotient space in terms of a non-transitive subshift of finite type, give a necessary and sufficient condition for the existence of a local product structure and evaluate [r] ...
113
Soil nutrient cycles as a nonlinear dynamical system
... the dynamical system point of ...undergoes dynamical bifur- cations, shifting from a stable focus to a stable node and back to a stable focus when going from dry, to well-watered, and then to saturated ...
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A dynamical systems approach to unsteady systems
... periodic perturbation scaled by the strain rate amplitude, . Rom-Kedar, et al., proved the existence of lobe dynamics (and the associated horseshoe map), and also developed estimates of the flux rate into and out of the ...
144
Dynamical density delay maps: simple, new method for visualising the behaviour of complex systems
... We present a new animation method for visualising the temporal evolution of complex signal dynamics. For trainees, such simple-to-construct plots (termed “D3- Maps”) may be used to illustrate technical concepts, ...
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