Purchase Solution

Hyperbolic and non-hyperbolic equilibrium points

Not what you're looking for?

Ask Custom Question

Please solve the following problem;

consider the nonlinear system x' = f(x), where

f(x) = 1st row: x2 - x1
2nd row: kx1 - x2 - x1 x3
3rd row: x1 x2 - x3

a) For what values of k is the origin a hyperbolic equilibrium point of the system ? In this case, classify it as a sink, source or saddle.

b) For what values of k is the origin a Non-hyperbolic equilibrium point of the system ? In this case, determine the stability of the system at the origin.

Purchase this Solution

Solution Summary

The expert examines hyperbolic and non-hyperbolic equilibrium points.

Solution Preview

Hello and thank you for posting your question to BrainMass.
The solution is ...

Purchase this Solution


Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.