2 papers
cond-mat2001
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…
cond-mat2001
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…