Linearization of the Lorenz system
2015; Elsevier BV; Volume: 379; Issue: 10-11 Linguagem: Inglês
10.1016/j.physleta.2015.01.003
ISSN1873-2429
AutoresChunbiao Li, J. C. Sprott, Wesley Thio,
Tópico(s)Quantum chaos and dynamical systems
ResumoA partial and complete piecewise linearized version of the Lorenz system is proposed. The linearized versions have an independent total amplitude control parameter. Additional further linearization leads naturally to a piecewise linear version of the diffusionless Lorenz system. A chaotic circuit with a single amplitude controller is then implemented using a new switch element, producing a chaotic oscillation that agrees with the numerical calculation for the piecewise linear diffusionless Lorenz system.
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