Showing 1 - 10 of 27
Soliton-like switching regimes are investigated for chains of bistable unit cells with energy non-degenerate ground … states. It is shown that there is a set of equilibrium soliton velocities in the chains of bistable units with complicated … internal structure. There are two essentially different regions of soliton initial velocities, so that the low external …
Persistent link: https://www.econbiz.de/10010873929
We study the dynamics of (2+1) dimensional ferromagnetic spin chain with bilinear and biquadratic interactions by using Holstein–Primakoff (HP) representation and the coherent state ansatz. The dynamical equations of motion are obtained by using long wavelength approximation. The sine–cosine...
Persistent link: https://www.econbiz.de/10010939931
soliton-like solutions whose velocity depends on the space coordinate. Analogy of zero-curvature representation is discussed …
Persistent link: https://www.econbiz.de/10010749627
We introduce an elastic beam Bernoulli–Euler model for the axoneme (cytoskeletal inner core of eukaryotic cells appendages) whose dynamics is controlled by internally generated torques at the inflexion points of the beam. We calculate the geometrical and the mechanical parameters of the...
Persistent link: https://www.econbiz.de/10010749875
We develop a geometrical approach for the relative sliding (shear) between filaments in a bundle subjected to bending and twisting deformations, with applications to motility in flagellated cells. Particular examples for helical and toroidal shapes, and combinations of these, are discussed. The...
Persistent link: https://www.econbiz.de/10010870245
Persistent link: https://www.econbiz.de/10004703121
Up to this point many of the social- scientific discussions of the impact of Chaos theory have dealt with using chaos concepts to refine matters of prediction and control. Chaos theory, however, has far more fundamental consequences which must also be considered. The identification of chaotic...
Persistent link: https://www.econbiz.de/10005767105
A rational approximant of third order, which is applied to a three-time level recurrence relation, is used to transform the two-dimensional sine-Gordon (SG) equation into a second-order initial-value problem. The resulting nonlinear finite-difference scheme, which is analyzed for stability, is...
Persistent link: https://www.econbiz.de/10010748680
In a recent work, a model for a bend of a nonlinear waveguide in planar geometry was introduced [Yu.S. Kivshar, P.G. Kevrekidis, S. Takeno, Phys. Lett. 307 (2003) 287]. Motivated by photonic-crystal waveguides, we examine transmission of localized pulses through the bend, and identify outcomes...
Persistent link: https://www.econbiz.de/10010749340
increase in frequency may result in a soliton that propagates in the opposite direction to the one encountering the nonuniform … modulation results in a surface wave and a soliton that may propagate towards either the right or left boundary. In either case …
Persistent link: https://www.econbiz.de/10010749357