The models considered are similar to cellular nonlinear networks (CNNs) u2014 a well-known class of collective dynamical systems intended mainly for image processing u2014 but differ from them in the type of nonlinear functions contained in their equations of motion u2014 cell output functions. ...
The evolution of the adaptive coupling terms \({b}_{ij}^{\ell }(t)\) is controlled by a nonlinear function Hℓ, which depends on the state of the nodes i and j. This adaptation rule can cover a wide class of plasticity functions, including Hebbian plasticity34, Wang-Rinzel ...
where and are the coordinates and aperture radius of the point source, respectively. Each source is given an aperture with radius 3. The given bounds encompass the feasible region. The objective () and nonlinear constraint functions are defined in separate MATLAB® files, waveIntensity.m and ...
Climate change refugia, defined as warm desert areas with high avian diversity and low predicted physiological impacts, are predicted to persist in varying extents in different desert realms. Only a small proportion (<20%) of refugia fall within existing protected areas. Our analysis highlights the...
strength lies in their ability to make sense out of complex, noisy, or nonlinear data. Neural networks can provide robust solutions to problems in a wide range of disciplines, particularly areas involving cl...
In this paper, we study the general rogue wave solutions and their patterns in the vector (orM-component) nonlinear Schrödinger (NLS) equation. By applying the Kadomtsev–Petviashvili reduction method, we derive an explicit solution for the rogue wave expressed by\taufunctions that are determinant...
TheLotka-Volterraequations [17, Sect. 4.1] are used to model the population dynamics of two interacting species of a predator and its prey. The population density of prey is\(u(t)\)and the population density of predators is\(w(t)\). The population dynamics is modeled by the nonlinearsys...
valued wave profile, a is the coefficient of the group velocity dispersion, b is the coefficient of spatio-temporal dispersion, F is the source of nonlinearity, σ and δ arise from the two-photon absorption and fourth order dispersion, while α0,β0,γ0,λ represent other nonlinear effects...
(1) relies on the notion that wave-wave interactions with large scale separation dominate the energy transfers12, but this paradigm requires a nonlinearity level arguably too strong for the assumed weakly nonlinear theory to apply42 and the presence of a high-frequency source not backed-up by ...
That younger individuals perceive the world as moving slower than adults is a familiar phenomenon. Yet, it remains an open question why that is. Using event segmentation theory, electroencephalogram (EEG) beamforming and nonlinear causal relationship estimation using artificial neural network methods, we...