Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
Objective: Solve and understand dynamic systems equations sets like the Lorenz equations and the Rikitake model. Rikitake proposed the following equations as a model for the self-generation of the Earth's magnetic field by large current-carrying eddies in the core. These solutions are roughly analogous to the irregular reversals of the Earth's magnetic field inferred from geological data. dx dt dy dt dt = -Vx+zy =-vy+ (z-a)x = 1- xy Assume that the time increment is 0 to 150 with increments of 0.01. For each scenario, assume at t=0, x=y=z= 5. Parta) Use a=v=0.1 for the constants. Name your solution "xA","yA","ZA". Part b) Use a=50 and v=0.1 for the constants. Name your solution "xB","yB","zB". Part c) Determine the positive strange attractors for part a, named "xstar","ystar" and "zstar" using your prior knowlege of roots. v(k² - k-²) = a x* = +k y* = ±k-l z* = vk²

Objective: Solve and understand dynamic systems equations sets like the Lorenz equations and the Rikitake model. Rikitake proposed the following equations as a model for the self-generation of the Earth's magnetic field by large current-carrying eddies in the core. These solutions are roughly analogous to the irregular reversals of the Earth's magnetic field inferred from geological data. dx dt dy dt dt = -Vx+zy =-vy+ (z-a)x = 1- xy Assume that the time increment is 0 to 150 with increments of 0.01. For each scenario, assume at t=0, x=y=z= 5. Parta) Use a=v=0.1 for the constants. Name your solution "xA","yA","ZA". Part b) Use a=50 and v=0.1 for the constants. Name your solution "xB","yB","zB". Part c) Determine the positive strange attractors for part a, named "xstar","ystar" and "zstar" using your prior knowlege of roots. v(k² - k-²) = a x* = +k y* = ±k-l z* = vk²

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
See similar textbooks
icon
Related questions
Question

6.3
Build code to satisty, please.

Objective: Solve and understand dynamic systems equations sets like the Lorenz equations and the Rikitake model. Rikitake proposed the following equations as a model for the self-generation of the Earth's magnetic field by large current-carrying eddies in the core. These solutions are roughly analogous to the irregular reversals of the Earth's magnetic field inferred from geological data. dx dt dy dt dt = -Vx+zy =-vy+ (z-a)x = 1- xy Assume that the time increment is 0 to 150 with increments of 0.01. For each scenario, assume at t=0, x=y=z= 5. Parta) Use a=v=0.1 for the constants. Name your solution "xA","yA","ZA". Part b) Use a=50 and v=0.1 for the constants. Name your solution "xB","yB","zB". Part c) Determine the positive strange attractors for part a, named "xstar","ystar" and "zstar" using your prior knowlege of roots. v(k² - k-²) = a x* = +k y* = ±k-l z* = vk²
Transcribed Image Text:Objective: Solve and understand dynamic systems equations sets like the Lorenz equations and the Rikitake model. Rikitake proposed the following equations as a model for the self-generation of the Earth's magnetic field by large current-carrying eddies in the core. These solutions are roughly analogous to the irregular reversals of the Earth's magnetic field inferred from geological data. dx dt dy dt dt = -Vx+zy =-vy+ (z-a)x = 1- xy Assume that the time increment is 0 to 150 with increments of 0.01. For each scenario, assume at t=0, x=y=z= 5. Parta) Use a=v=0.1 for the constants. Name your solution "xA","yA","ZA". Part b) Use a=50 and v=0.1 for the constants. Name your solution "xB","yB","zB". Part c) Determine the positive strange attractors for part a, named "xstar","ystar" and "zstar" using your prior knowlege of roots. v(k² - k-²) = a x* = +k y* = ±k-l z* = vk²
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 1 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS