A discussion of the fundamental changes that occur when dynamical systems from the fields of nonlinear optics, solids, hydrodynamics and biophysics are scaled down to nanosize. The authors are leading scientists in the field and each of their contributions provides a broader introduction to the specific area of research. In so doing, they include both the experimental and theoretical point of view, focusing especially on the effects on the nonlinear dynamical behavior of scaling, stochasticity and quantum mechanics. For everybody working on the synthesis and integration of nanoscopic devices who sooner or later will have to learn how to deal with nonlinear effects.
This book offers a modern, stimulating approach to the subject of nonlinear magnetization dynamics by discussing important aspects such as the Landau-Lifshitz-Gilbert (LLG) equation, analytical solutions, and the connection between the ...
Therefore, the book is convenient to be used as a textbook in suitable courses. This book highlights important aspects of nonlinear dynamics of biophysical nanosystems, such as DNA, alpha helix, and microtubules.
Nature 120, 363–364 (1927) V. Apostolyuk, F. Tay, Dynamics of micromechanical coriolis vibratory gyroscopes. Sensor Lett. 2, 252–259 (2004) N. Davies. Ring of vibratory gyroscopes with coupling along the drive and sense axes.
... nonlinear dynamics due to essentially new mechanisms and phenomena, that can be ignored in macro- and microworld, but play a decisive role in the world where typical distances are measured in nanometers. The understanding of the basic ...
Self-assembly of spatially regular nano-scale structures is especially important in several areas of nano-technology [17, 18]. The development of patterns is not necessarily a manifestation of a non- equilibrium process.
... dynamics of four interacting magnetic particles on a ring. Phys. B 403, 473 (2008) 5. P. Diaz, D. Laroze, Configurational ... Nanosystems (Elsevier, Dordrech, 2009). and references therein 19. M. Lakshmanan, The fascinating world of the ...
... Nonlinear Dynamics and Complexity (ed. H. G. Schuster), Volume 1, pp. 1–52. Wiley-VCH. Lifshitz, R. and Cross, M. C. (2010). In Nonlinear Dynamics of Nanosystems (ed. G. Radons, B. Rumpf, and H. G. Schuster), Chapter 8. Wiley-VCH ...
Jan Awrejcewicz. Model. of. Nonlinear. Fractal. Oscillator. in. Nanosystem. Valeriy S. Abramov Abstract Based on the theory of fractional calculus and the concept of fractal the model of nonlinear fractal oscillator is proposed. Hamilton ...
... nanoscale: actuation and sensing of motion in nanoelectromechanical systems (NEMS)”, Small,vol.1, num. 8-9, p. 786-797 ... Nonlinear Dynamics, vol. 54, num. 1-2, p. 53-68, October 2008. [Ll 07] LI P., HU R., FANG Y., “A new model for ...
This book contains lecture notes written by the lecturers of the NATO Advanced Study Institute "Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems" that took place in St Etienne de Tinee, France, in the fall 2004.