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I am currently learning about dynamical systems. I understand that dissipative systems have attractors but can not find anything online about whether or not non-dissipative systems have attractors. It may be that my understanding of attractors is not complete but any help with this would be much appreciated!

user263912
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1 Answers1

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I am not an expert, so this is at best a partial answer.

Non-linearity, rather than dissipation, is the key feature to have attractors.

For example, non-linear dynamical systems with dimension $d\ge2$ may show Hopf bifurcation and then a limit cycle which, if stable, is an example of an attractor.

fra_pero
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