Journal of Physical Chemistry & Biophysics
Open Access

Nonlinear resonance analysis

2^nd International Conference on Physics

August 28-30, 2017 Brussels, Belgium

Elena Tobisch

J Kepler University Linz, Austria

Scientific Tracks Abstracts: J Phys Chem Biophys

Abstract :

Description of the universe in the scientific paradigm is based on conceptions of action and reaction. The main question then is, what sort of reaction should be expected to this or that action. Intuitively we expect bigger reaction to bigger action, and this is mostly the case. However, there exists a remarkable exception-the phenomenon of resonance first described by Galileo Galilei in 1638: â�?�?one can confer motion upon even a heavy pendulum which is at rest by simply blowing against it; by repeating these blasts with a frequency which is the same as that of the pendulum one can impart considerable motionâ�?. Nowadays resonance is generally regarded as a red thread which runs through almost every branch of physics; without resonance we wouldn't have radio, television, music, etc. Horrible destructions due to the occurrence of resonance in a particular system are also well known. The demand for a good mathematical description allowing to predict the appearance of a resonance and to deduce its quantitative characteristics, is obvious. Linear resonances are easily treatable by the linear Fourier analysis while for the description of nonlinear resonances a new branch of the mathematical physics has been recently developed (a book of speaker): â�?�?Nonlinear Resonance Analysisâ�?, with its own theory, computational methods, applications and open questions. In this lecture I shall demonstrate how nonlinear resonance analysis can be applied to a number of real systems, including largescale phenomena in the Earth's atmosphere and novel wave turbulent regimes, and explains a range of laboratory experiments.

Biography :

Elena Tobisch has graduated from Lomonosov’s Moscow State University in Number Theory, and has completed her PhD (Russia) and Habilitation (Austria) in Mathematical Physics. She is the Head of the Group for Nonlinear Resonance Analysis and has been awarded many prizes including V I Vernadsky Medal, 2009; Doctor H C, 2012; MiA-Award 2013. She owns one patent, has published over 100 papers in reputed journals and a few books and book chapters, including monograph published by Cambridge University Press. She created a new field of science thus allowing for the first time to explain many known physical phenomena, e.g. intra-seasonal oscillations in the Earth’s atmosphere.