The chaos was summarised by Edward Lorenz as: Chaos – when the present determines the future, but the approximate present does not approximately determine the future. Solutions of differential systems involving more than two nonlinear differential equations may be qualitatively different from the planar solutions since slight pertubation may leads to exponential deviation. The deterministic nature of dynamic systems does not make them predictable (determined) in practice. He discovered what is known now as the deterministic chaos in mathematics and physics. ![]() This section addresses an introduction to the fasinated topic that originated from the work of the American mathematician and meteorologist Edward Norton Lorenz (1917-2008). Introduction to Linear Algebra with Mathematica Glossary Return to Part III of the course APMA0340 Return to the main page for the fourth course APMA0360 Return to the main page for the second course APMA0340 Return to the main page for the first course APMA0330 Return to Mathematica tutorial for the fourth course APMA0360 Return to Mathematica tutorial for the second course APMA0340 Return to Mathematica tutorial for the first course APMA0330 Return to computing page for the fourth course APMA0360 Return to computing page for the second course APMA0340 ![]() Return to computing page for the first course APMA0330 ![]() Laplace equation in spherical coordinates.Numerical solutions of Laplace equation.Laplace equation in infinite semi-stripe.Boundary Value Problems for heat equation.Part VI: Partial Differential Equations.Part III: Non-linear Systems of Ordinary Differential Equations.Part II: Linear Systems of Ordinary Differential Equations.
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