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Chapter 34: Q23CQ (page 1237)

State a necessary condition for a system to be chaotic.

Short Answer

Expert verified

It is considered to be chaotic if states that differ by a little amount in the starting circumstances diverge as the system evolves.

Step by step solution

01

Define Complexity

A system is roughly described as complex if it is made up of a large number of interconnected elements with emergent global dynamics that are qualitatively distinct from the dynamics of each individual component.

02

Explanation

A system is known to be chaotic when it states differing by a small amount in the initial conditions diverge as the system evolves.

Therefore, if states varying by a little amount in beginning circumstances diverge as the system progresses, it is said to be chaotic.

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