Renormalization Reductions for Systems with Delay(Condensed Matter and Statistical Physics)

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概要

• 論文の詳細を見る

• The renormalization method, which is a type of perturbation method, is extended to a tool to study weakly nonlinear time-delay systems. For systems with order-one delay, we show that the renormalization method leads to reduced systems without delay. For systems with order-one delay and long delay, we propose an extended renormalization method which leads to reduced systems with delay. In some examples, the validity of our perturbative results is confirmed analytically and numerically. We also compare our reduced equations with reduced equations obtained with another perturbation method.

• 理論物理学刊行会の論文
• 2007-08-25

著者

• Goto Shin-itiro

  Ntt Communication Science Laboratories Ntt Corporation

関連論文

• From an Unstable Periodic Orbit to the Lyapunov Exponent and a Macroscopic Variable in a Hamiltonian Lattice : Periodic Orbit Dependencies(Condensed Matter and Statistical Physics)
• Conditional Lyapunov Exponent Depending on Spectrum of Input Noise in Common-Noise-Induced Synchronization
• Renormalization Reductions for Systems with Delay(Condensed Matter and Statistical Physics)

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