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A few definitions may be in order here, (from various sources)…
A non-linear system is one whose output is not directly proportional to its input.
A deterministic system is a system in which no randomness is involved in the development of future states of the system.
Small differences in initial conditions of a system, (such as those due to rounding errors in numerical computation), yield widely diverging outcomes for chaotic systems, rendering long-term prediction impossible in general.
This happens even though these systems are deterministic, meaning that their future behaviour is fully determined by their initial conditions, with no random elements involved. In other words, the deterministic nature of these systems does not make them predictable. This behaviour is known as deterministic chaos, or simply chaos.
More later .. gotta go.
Cheers
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