Applying Linear Controls to Chaotic Continuous Dynamical Systems

In this case-study, we examine the effects of linear control on continuous dynamical systems that exhibit chaotic behavior using the symbolic computer algebra system Mathematica. Stabilizing (or controlling) higher-dimensional chaotic dynamical systems is generally a difficult problem, Musielak and Musielak, [1]. We numerically illustrate that sometimes elementary approaches can yield the desired numerical results with two different continuous higher order dynamical systems that exhibit chaotic behavior, the Lorenz equations and the Rössler attractor

Symbolic stability of delay differential equations

Thesis (M.S.) University of Alaska Fairbanks, 2002We offer a new symbolic computation of stability boundaries for linear systems of time-periodic delay differential equations with the period being equal to the delay. We construct an approximation of the 'infinite-dimensional Floquet transition matrix' U using the variation of parameters method, Picard iteration, and Chebyshev approximation techniques. A 'Mathematica' program approximately computes 'U'. We show the stability boundaries of well-known examples of delay differential equations in mathematics and mechanics

Dinamika Model Epidemik Svirs Terhadap Penyebaran Penyakit Influenza Dengan Strategi Vaksinasi Kontinu

The research about dinamica model epidemic SVIRS by continous vaccination strategy in sread of influenza used mathematical models. The result gots free of disease equilibrium

A Mathematical Model Analysis of Age Structured Malaria Transmission

Mathematical models have been used to provide an explicit framework for understanding malaria transmission dynamics in human population for over 100 years. The equilibrium points of the model are found and their stability is investigated. ....... Keywords: Mathematical model, equilibrium point, Basic Reproductive number, Stability DOI: 10.7176/MTM/9-5-04 Publication date:May 31st 201