Analytic conditions for targeted energy transfer between nonlinear oscillators or discrete breathers
نویسندگان
چکیده
منابع مشابه
Analytic Conditions for Targeted Energy Transfer between Nonlinear Oscillators or Discrete Breathers
It is well known that any amount of energy injected in a harmonic oscillator which is resonant and weakly coupled with a second harmonic oscillator, tunnels back and forth between these two oscillators. When the two oscillators are anharmonic, the amplitude dependence of their frequencies breaks, in general, any eventual initial resonance so that no substantial energy transfer occurs unless, ex...
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We discuss the existence of breathers and lower bounds on their power, in nonlinear Schrödinger lattices with nonlinear hopping. Our methods extend from a simple variational approach to fixed-point arguments, deriving lower bounds for the power which can serve as a threshold for the existence of breather solutions. Qualitatively, the theoretical results justify non-existence of breathers below ...
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ژورنال
عنوان ژورنال: Physica B: Condensed Matter
سال: 2001
ISSN: 0921-4526
DOI: 10.1016/s0921-4526(00)00804-8