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Parametric Control to Avoid Bifurcation Based on Maximum Local Lyapunov Exponent

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Publication:5258581
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DOI10.1007/978-4-431-55013-6_5zbMath1314.93038OpenAlexW2258410202MaRDI QIDQ5258581

Tetsuya Yoshinaga, Ken'ichi Fujimoto, Tetsushi Ueta, Kazuyuki Aihara

Publication date: 23 June 2015

Published in: Analysis and Control of Complex Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-55013-6_5


zbMATH Keywords

stable periodic pointbifurcation avoidancemaximum local Lyapunov exponent


Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Stability of control systems (93D99)




Cites Work

  • A two-dimensional mapping with a strange attractor
  • Determining Lyapunov exponents from a time series
  • Local Lyapunov exponents computed from observed data
  • Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
  • Ergodic theory of chaos and strange attractors
  • Elements of applied bifurcation theory
  • Unnamed Item
  • Unnamed Item


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