Low-Dimensional Solutions in the Quartic Fermi-Pasta-Ulam System

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概要

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• The Fermi-Pasta-Ulam (FPU)-β system possesses low-dimensional solutions that are the exact solutions of reduced Hamiltonian systems. Identification of such low-dimensional solutions is important for a precise understanding of the energy exchange process among normal modes, especially the induction phenomenon. The reduced Hamiltonians can be systematically constructed by introducing in the mode number space the type I subsets defined by Poggi and Ruffo [Physica D 103 (1997) 251]. By a simple analysis of the selection rule for energy exchange, we present here general expressions for the type I subsets. The applicability of the expressions is demonstrated via a numerical experiment on the induction phenomenon.

• 社団法人日本物理学会の論文
• 2002-08-15

著者

• SHINOHARA Susumu

  Department of Applied Physics, Waseda University

• Shinohara Susumu

  Department Of Physical Sciences Ritsumeikan University

• Shinohara Susumu

  Department Of Applied Physics Waseda University

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• Low-Dimensional Subsystems in Anharmonic Lattices
• Low-Dimensional Solutions in the Quartic Fermi-Pasta-Ulam System
• Low-Dimensional Subsystems in Anharmonic Lattices
• On the Diagram for the Onset of Global Chaos and Reconnection Phenomena in the Quadratic Nontwist Map
• The Breakup Condition of Shearless KAM Curves in the Quadratic Map
• Indicators of Reconnection Processes and Transition to Global Chaos in Nontwist Maps : Condensed Matter and Statistical Physics

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