Numerical simulations of 3D collisional drift-wave turbulence in a sheared magnetic field are presented which demonstrate that fluctuations are self-sustaining even though the linear eigenmodes of the system are all damped. An analytic calculation reveals that the source of the turbulence is a nonlinear streaming instability in which radial flows extract energy from the ambient density gradient...

Phantom jams,” traffic blockages that arise without apparent cause, have long frustrated transportation scientists. Herein, we draw a novel homology between phantom jams and a related class of self-sustained transonic waves, namely detonations. Through this analogy, we describe the jam structure; favorable agreement with reported measurements from congested highways is observed. Complementary n...

For cooperative transferable utility games solution concepts are presented which resemble the core-like solution concepts prenucleolus and prekernel. These modified solutions take into account both, the ‘power’, i.e. the worth, and the ‘blocking power’ of a coalition, i.e. the amount which the coalition cannot be prevented from by the complement coalition, in a totally symmetric way. As a direc...

We predict theoretically and generate in a photorefractive crystal two-dimensional self-trapped periodic waves of different symmetries, including vortex lattices-patterns of phase dislocations with internal energy flows. We demonstrate that these nonlinear waves exist even with anisotropic nonlocal nonlinearity when the optically-induced periodic refractive index becomes highly anisotropic, and...

We present self-accelerating self-trapped beams in nonlinear optical media, exhibiting self-focusing and self-defocusing Kerr and saturable nonlinearities, as well as a quadratic response. In Kerr and saturable media such beams are stable under self-defocusing and weak self-focusing, whereas for strong self-focusing the beams off-shoot solitons while their main lobe continues to accelerate. Sel...

This paper studies optimal nonlinear pricing for a monopolist when consumers’ preferences exhibit temptation and self-control as in Gul and Pesendorfer (2001a). Consumers are subject to temptation inside the store but exercise self-control, and those foreseeing large self-control costs do not enter the store. Consumers differ in their preferences under temptation. When all consumers are tempted...

We study the nonlinear dynamics of torsional meta-molecules—subwavelength resonators with strong coupling between electromagnetic excitation and rotational deformation—and show that such structures may undergo self-oscillations. We develop a semi-analytical model to evaluate the electromagnetic–elastic coupling in such structures. By analysing the local stability of the system, we reveal two di...

On the basis of the recently published generalized Miller formulas, we derive the spectral dependence of the contribution of arbitrary-order nonlinear indices to the group-velocity index. We show that in the context of laser filamentation in gases, all experimentally accessible orders (up to the ninth-order nonlinear susceptibility chi((9)) in air and chi((11)) in argon) have contributions of a...

This paper presents a novel method for designing robust MPC schemes that are self-optimizing in terms of disturbance attenuation. The method employs convex control Lyapunov functions and disturbance bounds to optimize robustness of the closed-loop system on-line, at each sampling instant a unique feature in MPC. Moreover, the proposed MPC algorithm is computationally efficient for nonlinear sys...

Standard pricing theories consider consumers without temptation. With temptation and costly self-control, consumers dislike choice sets with tempting alternatives. We study firms’ strategy against such consumers, using Gul–Pesendorfer preferences and a game where firms compete by offering menus. JEL Classification: D43, L13, L15