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Special Topics:Dynamical Systems

A dynamical system models the time-evolution of the state of a physical system of quantities. Mathematically, dynamical systems are expressed as differential equations or by the iteration of a function. The evolution of the physical system corresponds to a trajectory in the space of all possible states. The field of dynamics uses tools from disciplines such as topology, analysis, and algebra, as well as numerical computations, to understand the long-term behavior of all trajectories, and to describe how behaviors qualitatively change as underlying parameters are varied.

Images:

1. [4-d Map II] 2. [4-d Map]

  1. 4-d Map II
  2. 4-d Map
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