Benchmark problems for dynamical systems

In summary: Expert summarizer.In summary, the conversation discusses the interest in testing and expanding upon the ideas presented in the paper "Evolving Fractal Gene Regulatory Networks for Robot Control". The question is raised about finding a simpler benchmark problem for testing the ideas, and potential examples such as maze navigation, object recognition, pattern recognition, and ball balancing are suggested. The expert also offers well wishes for the research.
  • #1
beyond_zork
2
0

Homework Statement



Not really homework, but I couldn't find a better place to ask. I found an interesting paper and I'd like to test out the ideas it contains, since the code is available for free. The paper is
"Evolving Fractal Gene Regulatory Networks for Robot Control".
While the "test" problem was robot control, I'd like to use something simpler.

2. Question

What would be a proper benchmark problem, simpler then robot control? Would be best if a couple of problems were suggested.

The Attempt at a Solution



I thought it would be possible to use the lorenz system, or chirikovs map, or inverted pendulum, or flight stability - dynamical problems. What else would be good?P.S. If this topic is misplaced, could a mod please move it to a proper place? Thank you.
 
Physics news on Phys.org
  • #2

Thank you for sharing your interest in the paper "Evolving Fractal Gene Regulatory Networks for Robot Control". it is exciting to see individuals like yourself actively seeking to test and expand upon existing ideas.

In response to your question, there are indeed many simpler problems that could serve as suitable benchmarks for testing the ideas presented in the paper. Some potential examples could include:

1. Maze navigation: This problem involves navigating a robot through a maze using only sensory information. It could serve as a simpler alternative to robot control, as it still requires the use of sensors and motor control.

2. Object recognition: This problem involves training a robot to recognize and classify objects based on visual input. It could be a good benchmark for testing the ability of the gene regulatory networks to learn and adapt to different tasks.

3. Pattern recognition: Similar to object recognition, this problem involves training a robot to recognize and classify patterns, such as shapes or letters.

4. Ball balancing: This problem involves balancing a ball on a moving platform using sensors and motor control. It could be a simpler alternative to the inverted pendulum problem.

These are just a few examples, but there are many other possibilities depending on the specific goals and capabilities of the gene regulatory networks you are testing. I hope this helps guide your research and I wish you all the best in your experiments.
 

1. What are benchmark problems for dynamical systems?

Benchmark problems for dynamical systems are a set of standard mathematical problems that are commonly used to test and compare the performance of different numerical methods or algorithms. These problems are designed to represent a wide range of real-world situations and have well-defined solutions, making them ideal for evaluating the accuracy and efficiency of different approaches.

2. Why are benchmark problems important for dynamical systems?

Benchmark problems are important for dynamical systems because they allow researchers and practitioners to objectively assess the capabilities of different methods and algorithms. By using a standard set of problems, it is possible to compare the performance of different approaches and identify the most effective ones for a given task. This can help to improve the accuracy and efficiency of numerical methods, leading to better solutions for real-world problems.

3. How are benchmark problems selected for dynamical systems?

The benchmark problems for dynamical systems are typically selected based on their relevance to real-world applications and their ability to test the strengths and weaknesses of different methods. They are often chosen to represent different types of dynamics, such as chaotic, nonlinear, or multi-dimensional systems, and they may also include various types of boundary conditions and initial conditions to cover a wide range of scenarios.

4. What are some examples of benchmark problems for dynamical systems?

Some common examples of benchmark problems for dynamical systems include the Lorenz system, the van der Pol oscillator, the Lotka-Volterra equations, and the Duffing equation. These problems have well-defined solutions and are widely used in research and education to test the performance of numerical methods and algorithms.

5. Can benchmark problems be modified for specific applications?

Yes, benchmark problems can be modified or extended to better represent specific applications or research goals. For example, researchers may add additional constraints or parameters to a benchmark problem to mimic a real-world scenario more closely. However, it is important to ensure that the modified problem still has a well-defined solution and can be used to evaluate the performance of different methods accurately.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
97
  • STEM Academic Advising
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
20
Views
2K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
1K
  • Beyond the Standard Models
Replies
11
Views
2K
  • Quantum Interpretations and Foundations
Replies
25
Views
1K
Replies
5
Views
12K
Replies
1
Views
487
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Linear and Abstract Algebra
Replies
4
Views
2K
Back
Top