# HW1_solution.pdf - LS 30B Homework 1 Solutions Exercise...

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LS 30BHomework 1 SolutionsExercise 4.1.1What concept have you previously encountered that describes the neighborhood(tobe precise, the largest such neighborhood) in this definition?
Exercise 4.1.2What is the largest neighborhood of X = k for which this is true?
Exercise 4.1.2Draw a vector field for a one-dimensional system with three attractors.Answers will vary, but heres one example:Exercise 4.1.4Why does the first condition being true mean that the second must be true?Why does the second being true mean that the first must be true?
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LS 30BHomework 1 SolutionsExercise 4.1.5Write the equations for a spring with negative friction.
Exercise 4.1.6Sketch a phase portrait that shows an unstable limit cycle.
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LS 30BHomework 1 SolutionsExercise 4.1 FE 1Is a saddle point an attractor? Justify your answer.

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