The Vector Field: Multipliers and Combinations

  • Mike R. Jeffrey


Consider a set of ordinary differential equations
$$\displaystyle{\frac{dx_{1}} {dt} = f_{1}(x_{1},x_{2},\ldots,x_{n})\;,\quad \frac{dx_{2}} {dt} = f_{2}(x_{1},x_{2},\ldots,x_{n})\;,\quad \ldots \quad etc.}$$
or more concisely collecting the state variables xi into an n-dimensional vector x = (x1, x2, , xn), and the functions fi into a vector f = (f1, f2, , fn), with the derivative with respect to time t denoted by a dot.


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Authors and Affiliations

  • Mike R. Jeffrey
    • 1
  1. 1.Department of Engineering MathematicsUniversity of BristolBristolUK

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