Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 10.5, Problem 1E
Interpretation Introduction

Interpretation:

To calculate the Liapunav exponent for the linear map xn+1= r xn

Concept Introduction:

  • ➢ Logistic map can exhibit aperiodic orbits for certain parameter values.

  • ➢ Given some initial condition x0, consider nearby point x00, where the initial separation  δ0 is extremely small. Let  δn be the separation after n iterates. If n|  |δ0| en λ , then λ is called the Liapunov exponent.

  • ➢ Apositive Liapunov exponent is a signature of chaos.

Blurred answer
Students have asked these similar questions
Suppose that y = f(t) is the solution of the initial value problem - tyy' − y² = (t + y)², y(1) = 1 Use Matlab's ode45 to find f(5). Round your answer to 3 decimal places.
If y' = = cos² y sin² x, and y(л/2) = π/4, then y(π) = = ... Round your answers to two decimal places, and use radians as the units for trig functions.
Subject— Applied mathematics
Knowledge Booster
Background pattern image
Advanced Math
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Text book image
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Text book image
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
Vector Spaces | Definition & Examples; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=72GtkP6nP_A;License: Standard YouTube License, CC-BY
Understanding Vector Spaces; Author: Professor Dave Explains;https://www.youtube.com/watch?v=EP2ghkO0lSk;License: Standard YouTube License, CC-BY