A Study on the Dynamics of a Generalized Logistic Map

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概要

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• Nonlinear dynamics of x_<n+1>=λ{4x_n(1-x_n)}^q is studied in this paper. Different from the logistic map(q=1), in the case of q<q_1=√<33>-3) / 12=0.22871・・・, there exists subcritical bifurcation because the Schwarzian derivative cannot preserve its sign at the fixed point. Moreover, when q<q_2=0.17585・・・ and λ=1.0, a stable period 1 orbit appears due to stabilization of the non-zero fixed point. Intermittent chaos due to the type 3 of intermittency is also found in this system.

• 一般社団法人電子情報通信学会の論文
• 2000-03-25

著者

• Maeda Y

  The School Of Engineering The University Of Tokyo

• Aihara Kazuyuki

  The Graduate School Of Frontier Sciences The University Of Tokyo

• KUBOTA Kazuomi

  the Faculty of Liberal Art, The University of the Air

• MAEDA Yoichi

  the School of Engineering, the University of Tokyo

• Kubota Kazuomi

  The Faculty Of Liberal Art The University Of The Air

関連論文

• A Study on the Dynamics of a Generalized Logistic Map

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