2021
DOI: 10.1016/j.chaos.2021.111174
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Dynamical analysis of series hybrid electric vehicle powertrain with torsional vibration: Antimonotonicity and coexisting attractors

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Cited by 12 publications
(3 citation statements)
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“…To analyze the continuous dynamic system, a vector field X $X$ can be utilized to discuss energy problems and a generalized Hamiltonian form is further used for Homoclinic or Heteroclinic orbit analysis 41 . This equation can be given as follow: trueX˙=f(X)=[J(X)R(X)]H, $\dot{X}=f(X)=[J(X)-R(X)]\nabla H,$where, the matrix J(X) $J(X)$ and R(X) $R(X)$ can be obtained as the following form: {leftH˙=HTR(X)H=HTfd(X)HTJ(X)H=0,J(X)H=fc(X). $\left\{\begin{array}{c}\dot{H}=\nabla {H}^{T}R(X)\nabla H=\nabla {H}^{T}{f}_{d}(X)\\ \nabla {H}^{T}J(X)\nabla H=0,J(X)\nabla H={f}_{c}(X)\end{array}.\right.$…”
Section: Torsional Vibration Analysis Of the Wind Turbine Drivetrainmentioning
confidence: 99%
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“…To analyze the continuous dynamic system, a vector field X $X$ can be utilized to discuss energy problems and a generalized Hamiltonian form is further used for Homoclinic or Heteroclinic orbit analysis 41 . This equation can be given as follow: trueX˙=f(X)=[J(X)R(X)]H, $\dot{X}=f(X)=[J(X)-R(X)]\nabla H,$where, the matrix J(X) $J(X)$ and R(X) $R(X)$ can be obtained as the following form: {leftH˙=HTR(X)H=HTfd(X)HTJ(X)H=0,J(X)H=fc(X). $\left\{\begin{array}{c}\dot{H}=\nabla {H}^{T}R(X)\nabla H=\nabla {H}^{T}{f}_{d}(X)\\ \nabla {H}^{T}J(X)\nabla H=0,J(X)\nabla H={f}_{c}(X)\end{array}.\right.$…”
Section: Torsional Vibration Analysis Of the Wind Turbine Drivetrainmentioning
confidence: 99%
“…To analyze the continuous dynamic system, a vector field X can be utilized to discuss energy problems and a generalized Hamiltonian form is further used for Homoclinic or Heteroclinic orbit analysis. 41 This equation can be given as follow:…”
Section: Hamilton Energy Analysis Of the Systemmentioning
confidence: 99%
“…Range extender hybrid automobiles (series hybrids) rely on their conventional engine to generate electricity to power a generator that recharges the batteries. Instead of propelling the car, the engine provides energy to the electric motor [42]. e well-known model is BMW i3 [43].…”
Section: Applicationmentioning
confidence: 99%