From the course: Complete Guide to Differential Equations Foundations for Data Science

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Chaos and strange attractors

Chaos and strange attractors

From the course: Complete Guide to Differential Equations Foundations for Data Science

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Chaos and strange attractors

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- [Instructor] I previously mentioned the word chaos and it lives up to its name when it comes to non-linear differential equations and systems. In this video, you'll explore the concepts of chaos and strange attractors and see how they relate to differential equations that are non-linear. In this video, you will explore chaos and strange attract and how they relate to non-linear differential equations and systems. Let's begin by understanding what chaotic behavior is. Sometimes non-linear dynamical systems can exhibit what is called chaotic behavior. This is when small changes in initial conditions lead to drastically different outcomes. This causes sensitive dependence on initial conditions, making them a key component to having chaos. This chaotic behavior causes varied results that can quickly diverge exponentially from each other. When solving these types of systems using numerical computations, such as with a computer software program. Let's look at some common characteristics…

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