Fluctuations and nonlinear oscillations in complex natural systems

Nonlinear problems of complex natural systems: Sun and climate dynamics.

The universal role of the nonlinear one-third subharmonic resonance mechanism in generation of strong fluctuations in complex natural dynamical systems related to global climate is discussed using wavelet regression detrended data. The role of the oceanic Rossby waves in the year-scale global temperature fluctuations and the nonlinear resonance contribution to the El Niño phenomenon have been d...

Grouping complex face parts by nonlinear oscillations

Oscillations in Nonlinear Pulse-modulated Control Systems

Periodical modes in nonlinear control systems with pulse-width and pulse-frequency modulation are considered. The existence of a fixed point for the shift operator along system’s trajectories is frequently used to establish the existence of a periodical mode. However, this method often fails for pulse modulated systems due to discontinuity of the shift operator. The new geometrical approach is ...

Complex oscillations in simple neural systems.

One of the goals of this workshop is to explore how research on aquatic plants and animals can improve our understanding of the basic mechanisms underlying the effects of gravity on biological processes. In general, the focus of “gravitational biology” has been to investigate gravitational effects at the organismal level rather than at the cellular, subcellular, or molecular levels. Indeed, pre...

Nonlinear Fluctuations of Interacting Particle Systems

We introduce what we call the second-order Boltzmann-Gibbs principle, which allows to replace local functionals of a conservative, onedimensional stochastic process by a possibly nonlinear function of the conserved quantity. This replacement opens the way to obtain nonlinear stochastic evolutions as the limit of the fluctuations of the conserved quantity around stationary states. As an applicat...