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Chaotic and hyperchaotic attractors of a complex nonlinear system. (English) Zbl 1131.37036


MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37C10 Dynamics induced by flows and semiflows
34C28 Complex behavior and chaotic systems of ordinary differential equations
34C25 Periodic solutions to ordinary differential equations
34C08 Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.)
34D45 Attractors of solutions to ordinary differential equations
28A78 Hausdorff and packing measures
93D15 Stabilization of systems by feedback
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