Eccentric winter and summer cycles

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GTOM
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I think about Three Body Problem and Game of Thrones.
Both show erratic, unpredictable shifting of summer and winter times. Of course, GoT don't bother with physical explanation, but could this behavior occur in a binary star system, or with other conditions, like stellar clouds?
Three Body Problem talks about how hard it is to accurately model the orbit of three celestials with similar mass, that close to each other.
On the other hand, the lack of transition phases in the game was pretty magical to me. How could a star appear to be a meteor at first, then turn into a sun that boils people, in just a few days?
 
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There was this classic:

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about a planet with seasons that last centuries