An archived instance of discourse for discussion in undergraduate Complex Dynamics.
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Welcome to Discourse
Meta
1
The shifty conjugacy
Exercises
5
Your personal Julia set
Assignments
12
Find your personal cubic Julia set
Assignments
14
Your personal cubic polynomial
Assignments
14
Your personal super-attractiveness value
Assignments
10
A harder neutral fixed point problem
Exercises
7
Newton’s method and the origin
Test Prep
5
A simple neutral fixed point problem
Exercises
5
A rational function
5
A circular julia set
Test Prep
3
An alternate viewpoint for Newton’s method
Test Prep
4
Show that infinity is super-attractive for a specific polynomial
Test Prep
2
Nature of a parabolic Mobius transformation
Test Prep
5
Identify the Julia set
Test Prep
2
Infinity as a super-attractive fixed point
Exercises
6
A connected quartic Julia sets
Test Prep
3
Connected vs totally disconnected cubic Julia sets
Test Prep
3
Pairing circles
Test Prep
2
Basins of f(z) and f(f(z))
Exercises
3
Everything is awesome
Test Prep
3
A rational rabbit
4
Fixed point conjugacy
Test Prep
5
Finding super-attractive orbits in the Mandelbrot set
Test Prep
5
Finding a quadratic parameter with specified periodicity and multiplier
Test Prep
3
Classify some fixed points
Test Prep
6
Finding a super-attractive lambda value
Test Prep
4
Reasons for Features in 6.4
Questions
2
A complex Newton method
Test Prep
3
An attractive fixed point that attracts no critical point?
Test Prep
6
Finding an orbit
Test Prep
6
Behavior near neutral fixed points
Test Prep
1
Finding a super-attractive orbit
Test Prep
3
Finding super attractive orbits
3
Finding a conjugacy
Test Prep
5
Verify a conjugacy
Test Prep
2
Newton’s method yields a super-attracting fixed point!
Exercises
2
How do I enter groovy typeset mathematics, images and code?
Meta
2