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neurocomp2003
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Was wondering if anyone can enlighten me on what people research, when they study classical mechanics & chaos theory? Simple systems? many particle systems? do they code?
marlon said:For starters, they try to find out the solutions (well, properties and the behaviour of those solutions without actually acquiring the mathematical expression for the solution) of differential equations without actually solving the diff equations. I had an intro course on this in my second year at the university.
regards
marlon
arildno said:If I remember correctly, the mathematical study of chaos was brought into the forefront of applied maths when it was pointed out that a typical set of diff.eqs. used in meteorology was inherently chaotic.
Meteorology is a field dominated by classical physics modelling (and no discernible improvement would be found if you were to try a QM or relativistic approach).
Class.mech is a scientific field that focuses on the study of mechanical systems and their behavior. This includes studying the movement, forces, and energy of objects in motion.
Chaos theory is a branch of mathematics that studies the behavior of non-linear systems, which are often found in class.mech. It helps to explain how small changes in initial conditions can lead to drastically different outcomes in a system's behavior.
Class.mech and chaos theory have many practical applications, including predicting weather patterns, understanding population dynamics, and designing efficient transportation systems.
Class.mech differs from other branches of mechanics, such as quantum mechanics and fluid mechanics, in that it focuses on the behavior of macroscopic systems rather than microscopic particles or fluids.
Some current areas of research in class.mech and chaos theory include studying the behavior of complex networks, developing new mathematical models for chaotic systems, and applying chaos theory to fields such as economics and biology.