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On the nonequivalence of Lorenz system and Chen system. (English) Zbl 1188.34054

Summary: We prove that the Chen system with a set of chaotic parameters is not smoothly equivalent to the Lorenz system with any parameters.

MSC:

34C41 Equivalence and asymptotic equivalence of ordinary differential equations
34C60 Qualitative investigation and simulation of ordinary differential equation models
34A34 Nonlinear ordinary differential equations and systems
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[1] DOI: 10.1142/S0218127499001024 · Zbl 0962.37013 · doi:10.1142/S0218127499001024
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