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Simple chaotic flows with a line equilibrium. (English) Zbl 1355.37056
Chaos Solitons Fractals 57, 79-84 (2013); corrigendum ibid. 77, 341-342 (2015).
Summary: Using a systematic computer search, nine simple chaotic flows with quadratic nonlinearities were found that have the unusual feature of having a line equilibrium. Such systems belong to a newly introduced category of chaotic systems with hidden attractors that are important and potentially problematic in engineering applications.

##### MSC:
 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior 34C28 Complex behavior and chaotic systems of ordinary differential equations 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations 37M05 Simulation of dynamical systems
##### Keywords:
line equilibrium; quadratic nonlinearity; hidden attractor
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##### References:
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