Wikipedia's definition of a dynamical system

  • Thread starter Thread starter phibonacci
  • Start date Start date
  • Tags Tags
    Definition System
Click For Summary
SUMMARY

The discussion centers on the search for a reliable source that provides a general definition of dynamical systems, as presented on Wikipedia. User phibonacci expresses the need for a reference while writing about discrete dynamical systems. Scholarpedia is mentioned as a valuable resource, along with the book "Introduction to the Modern Theory of Dynamical Systems" by Katok and Hasselblatt, which is recommended for its comprehensive coverage of the topic.

PREREQUISITES
  • Understanding of dynamical systems theory
  • Familiarity with discrete dynamical systems
  • Knowledge of academic referencing
  • Basic comprehension of mathematical concepts related to systems
NEXT STEPS
  • Research "Introduction to the Modern Theory of Dynamical Systems" by Katok and Hasselblatt
  • Explore the definition of dynamical systems on Scholarpedia
  • Investigate the book "Dynamical Systems" by Wiggins for introductory concepts
  • Study the applications of discrete dynamical systems in various fields
USEFUL FOR

Students, researchers, and educators in mathematics, physics, and engineering who are looking to deepen their understanding of dynamical systems and require reliable academic references.

phibonacci
Messages
4
Reaction score
0
Hi,

In http://en.wikipedia.org/wiki/Dynamical_system_%28definition%29" dynamical systems are defined in a very general way. Does anyone know a book that contains this definition? I didn't find it in any of the books in the reference list of the Wikipedia article. I am writing a text that focuses on discrete dynamical systems, but I would still like to include the general definition, and therefore I need a reliable source I can refer to.

Thanks in advance,

phibonacci
 
Last edited by a moderator:
Mathematics news on Phys.org
Thanks for the tip. I also found "Introduction to the Modern Theory of Dynamical Systems" by Katok and Hasselblatt to be quite useful.
 

Similar threads

The mathematical definition of "wave"?
  • · Replies 61 ·
3
Replies
61
Views
11K
Defining a Flow: What's the Best Way?
  • · Replies 1 ·
Replies
1
Views
2K
Does the definition of Φ-invariance require that I(x) = T for all x in S?
  • · Replies 12 ·
Replies
12
Views
3K
MHB Translation Surfaces: Geometric Definition & Billiard Systems
  • · Replies 4 ·
Replies
4
Views
6K
I need sources to learn about dynamic systems
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Determine if polynomial system has finite number of solutions
  • · Replies 6 ·
Replies
6
Views
2K
High School Proper Understanding of Dynamical Systems and State Space
  • · Replies 5 ·
Replies
5
Views
1K
High School Reprise: Calculate the distance between two points without using a coordinate system
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad An alternative derivation of the equation of motion in General Relativity
  • · Replies 0 ·
Replies
0
Views
1K
Undergrad Stratification of air in a closed system vs the stack effect
  • · Replies 1 ·
Replies
1
Views
1K