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Energy exchange and transition to localization in the asymmetric Fermi-Pasta-Ulam oscillatory chain

Denis S. Shepelev, Leonid I. Manevitch

The European Physical Journal B · 2013 · 24 citations · 10 references

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References

10

The Description of Localized Normal Modes in a Chain of Nonlinear Coupled Oscillators Using Complex Variables

Leonid I. Manevitch · Nonlinear Dynamics · 2001 · 201 citations

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New approach to beating phenomenon in coupled nonlinear oscillatory chains

Leonid I. Manevitch · Archive of Applied Mechanics · 2006 · 140 citations

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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>q</mml:mi></mml:math>-Breathers and the Fermi-Pasta-Ulam Problem

Sergej Flach, Mikhail Ivanchenko, Oleg Kanakov · Physical Review Letters · 2005 · 130 citations · Full text

, , +12

Interrelation between the stability of extended normal modes and the existence of intrinsic localized modes in nonlinear lattices with realistic potentials

K. W. Sandusky, J. B. Page · Physical review. B, Condensed matter · 1994 · 119 citations

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Exact solutions in the FPU oscillator chain

P. Poggi, Stefano Ruffo · Physica D Nonlinear Phenomena · 1997 · 117 citations · Full text

, , +10