High frequency integrable regimes in nonlocal nonlinear optics. Abstract We consider an integrable model which describes light beams propagating in nonlocal nonlinear media of Cole-Cole type. The model is derived as high frequency limit of both Maxwell equations and the nonlocal nonlinear Schrödinger equation. We demonstrate that for a general form of nonlinearity there exist selfguided light b...

In this paper, a hybrid fuzzy controller based on a fuzzy proportionalintegral plus conventional derivative control structure is proposed to control a class of single-input single-output nonlinear systems. The proposed controller is capable of generating both linear and nonlinear outputs so that the closed-loop system is equivalent to a feedback connection of a linear system and a nonlinear ele...

We consider the situation of a homogeneous swarm of agents following a partially observable leader agent. The resulting, slightly heterogeneous swarm of agents is softly controlled by the leader. We study the swarm dynamics using a recently established connection existing between multi-agents dynamics and nonlinear optimal state estimation. For a whole class of nonlinear agents interactions, we...

In this work, we examine the important theoretical question of whether dispersion relations can arise from purely nonlinear interactions among waves that possess no linear dispersive characteristics. Using two prototypical examples of nondispersive waves, we demonstrate how nonlinear interactions can indeed give rise to effective dispersive-wave-like characteristics in thermal equilibrium. Phys...

In this work we construct and analyze exact solutions describing Ricci flows and nonholonomic deformations of four dimensional (4D) Taub-NUT spacetimes. It is outlined a new geometric techniques of constructing Ricci flow solutions. Some conceptual issues on spacetimes provided with generic off–diagonal metrics and associated nonlinear connection structures are analyzed. The limit from gravity/...

Nonlinear feedback shift registers (NFSRs) are an important building block for stream ciphers. Given a cascade connection of two NFSRs, say NFSR(f, g), it has been known for decades how to solve the characteristic function of the NFSR which is equivalent to NFSR(f, g). However, the converse problem of decomposing an NFSR into a cascade connection of two smaller NFSRs is not completely solved, a...

This paper presents an approach to design a nonlinear controller for a pneumatic cylinder system for which the connection port comprises a non-negligible restriction. The pressure chamber of this system is difficult to control because the servo valve and the connection port form a double restriction. This double restriction causes a singularity in the feedback linearization controller. To avoid...

Spatiotemporal pattern formation in physical and chemical systems is typically based on a dynamics with a homogeneous, i.e. translationally invariant, connection topology. However, biological systems like the human cortex show homogeneous connectivity with additional strongly heterogeneous projections from one area to another. Here we use nonlinear retarded integral equations to describe the sp...

In this work we construct and analyze exact solutions describing Ricci flows and nonholonomic deformations of four dimensional (4D) Taub-NUT spacetimes. It is outlined a new geometric techniques of constructing Ricci flow solutions. Some conceptual issues on spacetimes provided with generic off–diagonal metrics and associated nonlinear connection structures are analyzed. The limit from gravity/...

The paper is devoted to the geometrical theory, on the phase space, of the classical concept of scleronomic Riemannian mechanical systems in the general case when the external forces depend on the material points and their velocities. We discuss the canonical semispray, the nonlinear connection, the metrical connection, the electromagnetic field and the almost Hermitian model of the mentioned m...