1 citations · 1 across the 1 of their papers we have counts for
3 papers
Construction of the discrete breathers and a simple physical interpretation of their existence
G. M. Chechin, G. S. Dzhelauhova
We present a simple numerical method for the discrete breather construction based on the idea of the pair synchronization of the particles involved in the breather vibration. It ca…
Existence and stability of bushes of vibrational modes for octahedral mechanical systems with Lennard-Jones potential
G. M. Chechin, A. V. Gnezdilov, M. Yu. Zekhtser
The special nonlinear dynamical regimes, "bushes of normal modes", can exist in the N-particle Hamiltonian systems with discrete symmetry. The dimension of the bush can be essentia…
Bushes of normal modes - new dynamical objects in nonlinear mechanical systems with discrete symmetry
George M. Chechin, Alexandr V. Gnezdilov, Vladimir P. Sakhnenko +1
Bushes of normal modes represent exact mathematical objects describing specific dynamical regimes in nonlinear mechanical systems with point or space symmetry. In the present paper…