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Dynamics

Dynamics is the study of how systems change over time. Dynamics Started as a formal system of study with the works of Leibniz and Newton in the 17th Century.

A Sketch on the History of Dynamics

• 17th Century
• 1666-1696 - Invention of Calculus - Newton & Leibniz
• Major Developments in Calculus and Classical Mechanics
• 18th Century
• Analytical Works of Planetary Motion
• 19th Century
• 1890's Poincare works on Geometric Approach
• 20th Century
• Birkhoff
• Kolmogrov
• Arnol'd
• Moser
• Lorenz
• Ruelle
• Takens
• May
• Feigenbaum
• Winfree
• Mandelbrot
Mathematically Speaking the Study of Dynamics comes in two forms:
• Ordinary Differential Equations
  the study of changes with respect to only
  one variable, mostly time
• Partial Differential Equations
  the study of changes with respect to
  two or more variables, mostly time & space

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07dec16

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