In this article, two of the pinnacles of nonlinear science – solitons and chaos, are discussed giving importance to the philosophy behind these concepts, and highlighting the ubiquity of the duo in real life phenomena. It is seen that solitons and chaos are prevalent in nature much more than one would expect, and are much wider in scope than the restrictive mathematical equations usually seen i...

The current voltage characteristic of the narrow superconducting channel is investigated by direct numerical integration of the time-dependent Ginzburg Landau equations. We have demonstrated that the steps in the current voltage characteristic correspond to a number of di erent bifurcation points of the time-dependent Ginzburg Landau equations. We have analytically estimated the period and the ...

In this work, we search for the presence of chaos in a self-consistent model for the cyclotronresonance maser accelerator. Two characteristic regimes are identified. If the initial action variable of the accelerating particles is small, rapid phase bunching occurs and the particle population is condensed into a single macroparticle in phase space. As a result, this low-dimensional state is pred...

This study implements a chaos-based model to predict the foreign exchange rates. In the first stage, the delay coordinate embedding is used to reconstruct the unobserved phase space (or state space) of the exchange rate dynamics. The phase space exhibits the inherent essential characteristic of the exchange rate and is suitable for financial modeling and forecasting. In the second stage, kernel...

In this work we analyze the influence of chaos on the coherence of the mismatched three-wave interaction. Chaos starts to play a decisive role in the problem when adiabatic approximations leading to an integrable model for the system cease to be valid. In regular regimes where the field levels are sufficiently small, there is a characteristic value for the frequency mismatch of the triplet belo...

We find evidence of a period doubling bifurcation and transition from pseudo-periodic chaos to a stable limit cycle during onset of ventricular fibrillation (VF) in humans. Novel radial basis modeling techniques are applied to time series of spontaneous VF to estimate time dependent changes in the dynamics. Furthermore, we show that the spectral power content may be used as a surrogate for the ...

A quantum characteristic exponent may be defined, with the same operational meaning as the classical Lyapunov exponent when the latter is expressed as a functional of densities. Existence conditions and supporting measure properties are discussed as well as the problems encountered in the numerical computation of the quantum exponents. Although an example of true quantum chaos may be exhibited,...

We present spatially resolved spectroscopic observations of Europa’s surface at 3–4 μm obtained with the nearinfrared spectrograph and adaptive optics system on the Keck II telescope. These are the highest quality spatially resolved reflectance spectra of Europa’s surface at 3–4 μm. The observations spatially resolve Europa’s large-scale compositional units at a resolution of several hundred ki...