In this paper, I study the dynamics of the Kaluza-Klein internal manifold using its “shape” and the “size” as collective coordinates. The essential motivation is to be able to explain symmetry breaking in gauge theories through a transition of the internal manifold from a symmetrical metric space to a less symmetric one. We find that this may be possible depending on the values of certain group...

In order to move effectively in unpredictable or heterogeneous environments animals must make appropriate decisions in response to internal and external cues. Identifying the link between these components remains a challenge for movement ecology and is important in understanding the mechanisms driving both individual and collective motion. One accessible way of examining how internal state infl...

An outstanding challenge in protein folding is understanding the origin of "internal friction" in folding dynamics, experimentally identified from the dependence of folding rates on solvent viscosity. A possible origin suggested by simulation is the crossing of local torsion barriers. However, it was unclear why internal friction varied from protein to protein or for different folding barriers ...

The purpose of this study is theoretical and methodological substantiation, deepening of conceptual provisions and development of scientific and practical recommendations for the formation of an integrated sector of national security and defense based on the principles of national resilience. The relevance of this study is due to the need to build national resilience to address the main problem...

In this paper we present an atom laser scheme using a Raman transition for the output coupling of atoms. A beam of thermal atoms (bosons) in a metastable atomic state is pumped into a multimode atomic cavity. This cavity is coupled through spontaneous emission to another cavity for the atomic ground state. Above a certain threshold pumping rate a large number of atoms build up in the lowest ene...

Normal-form fixed-point state-space realizations of IIR filters are known to be free from both overflow oscillations and roundoff limit cycles, provided magnitude truncation type of arithmetic is used together with two’s complement overflow features. The eigenvalues of the state transition matrix have low sensitivity. In this paper two new normal-form realizations are presented which utilize ci...

Statistical complexity is a measure of complexity of discrete-time stationary stochastic processes, which has many applications. We investigate its more abstract properties as a non-linear function of the space of processes and show its close relation to the Knight’s prediction process. We prove lower semi-continuity, concavity, and a formula for the ergodic decomposition of statistical complex...

In this study the interaction between self-excited and paramet rically excited oscillations in two-degree-of-freedom systems with quadratic nonlinearities is investigated. The fundamental parametric resonance of the first mode and 3:1 internal resonance is considered, followed by 1:2 internal and parametric resonances of the second mode. The method of multiple time scales is applied to derive f...