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UA MATH 485 - Connect between dynamic systems

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Math 485 21 April 11 Page 1 of 5 Apr 21 2011 Connect between dynamic systems and ordinary differential equations For a given equation Math 485 21 April 11 Page 2 of 5 Apr 21 2011 2 poincare return map Math 485 21 April 11 Page 3 of 5 Apr 21 2011 3 Math 485 21 April 11 Page 4 of 5 Apr 21 2011 An example chaos Math 485 21 April 11 Page 5 of 5 Apr 21 2011 Small perturbation does not destroy the structure of the saddle just twists it a bit but you do NOT still have the loop Homoclinic tangle

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UA MATH 485 - Connect between dynamic systems

School: University of Arizona

Course: Math 485- Mathematical Modeling

Pages: 5

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UA MATH 485 - Connect between dynamic systems

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