Chaos Attractor: +inf as Attractor?

Thread starter Shobhit Gupta
Start date Sep 19, 2013
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Chaos

In summary, a Chaos Attractor is a mathematical concept that describes a set of points in a chaotic system that are attracted to each other and form a pattern or structure. +inf as Attractor means that the chaotic system has infinite complexity and is constantly evolving, making it impossible to predict the exact outcome or behavior. A regular attractor is a stable point or region in a system where all points are pulled towards, while a Chaos Attractor is an unstable point or region where points are constantly moving away from each other, creating a chaotic pattern. Some real-life examples of Chaos Attractors include weather patterns, population dynamics, and the movement of celestial bodies. In human-made systems, examples include stock market fluctuations and traffic flow. The concept of

Sep 19, 2013

Shobhit Gupta

Can we consider +inf as an attractor for a map for which trajectories emanating from any point in the state space tends to +inf.

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Sep 21, 2013

Khashishi

Science Advisor

Certainly. The points outside the Mandelbrot set are "attracted to infinity".

Related to Chaos Attractor: +inf as Attractor?

1. What is a Chaos Attractor?

A Chaos Attractor is a mathematical concept that describes a set of points in a chaotic system that are attracted to each other and form a pattern or structure.

2. What does the +inf as Attractor mean?

+inf as Attractor means that the chaotic system has infinite complexity and is constantly evolving, making it impossible to predict the exact outcome or behavior.

3. How is a Chaos Attractor different from a regular attractor?

A regular attractor is a stable point or region in a system where all points are pulled towards. A Chaos Attractor, on the other hand, is an unstable point or region where points are constantly moving away from each other, creating a chaotic pattern.

4. What are some real-life examples of Chaos Attractors?

Some examples of Chaos Attractors in nature include weather patterns, population dynamics, and the movement of celestial bodies. In human-made systems, examples include stock market fluctuations and traffic flow.

5. How is the concept of Chaos Attractor used in science?

The concept of Chaos Attractor is used in various fields of science, including physics, mathematics, and biology. It helps scientists understand and study complex systems that exhibit chaotic behavior, as well as make predictions and models for these systems.