X-Nico

unusual facts about Nonlinear



21st Century Slave

Following the release of 21st Century Slave, Dope Stars Inc. has released a compilation album titled Subversive Industrial Assault through Subsound Records that features them as well as other artists including: Epochate, Deflore, Aquefrigide, Mithra, Richard Christ, Nonlinear System Theory, Neon Synthesis, and Kardia.

Antonio Ambrosetti

In particular, the so called mountain pass theorem he established with Paul Rabinowitz is nowadays a classical tool in the context of nonlinear analysis problems.

Barrie Gilbert

From 1972-1977 he consulted for Analog Devices Inc., Beaverton, OR, designing several ICs embodying novel nonlinear concepts.

Chua's diode

It is an essential part of Chua's circuit where it is implemented as a voltage-controlled, nonlinear negative resistor as part of the chaotic oscillator.

Contact dynamics

The evaluation of these inequalities/inclusions is commonly done by solving linear (or nonlinear) complementarity problems, by quadratic programming or by transforming the inequality/inclusion problems into projective equations which can be solved iteratively by Jacobi or Gauss–Seidel techniques.

Decomposition method

Adomian decomposition method, a non-numerical method for solving nonlinear differential equations

Eagle strategy

Eagle strategy is a search strategy for solving nonlinear optimization problems, and this strategy was developed by Xin-she Yang and Suash Deb, based on the foraging behaviour of eagle species such as Golden Eagles.

Eduardo D. Sontag

In theory of computation, he proved the first results on computational complexity in nonlinear controllability, and introduced together with his student Hava Siegelmann a new approach to analog computation and super-Turing computing.

Evgeny Vinokurov

In terms of Toffler, the Eurasian integration will be the integration of a "third wave" - nonlinear, flexible, with a constantly changing structure.

Genista Corporation

Video quality assessment tools based on network quality metrics such as packet loss, MDI and PSNR do not correlate well with a perceived visual quality due to the nonlinear behavior of the human visual system.

George Ella Lyon

In an article in The Reading Teacher, Sylvia Pantaleo notes that Lyon's A Day at Damp Camp bears characteristics of Dresang's Radical Change theory by having a nonlinear story, which artist Peter Catalanotto loops back to the beginning through the illustrations and images, and text within boxes that resembles "hypertext Web links".

Gutenberg–Richter law

Pathikrit Bhattacharya, Bikas K Chakrabarti, Kamal, and Debashis Samanta, "Fractal models of earthquake dynamics", Heinz Georg Schuster (ed), Reviews of Nonlinear Dynamics and Complexity, pp.

HD66

At the 4th China Police Expo held in Beijing, Chinese companies introduced two kinds of nonlinear of sight tactic weapon systems, the HD66 and CF06, which are based on QSZ-92 9 mm pistol and co-developed by Chongqing Changfeng Machinery Co Ltd and Shanghai Sea Shield Technologies Company.

Heinrich Hora

Heinrich Hora (born 1931 in Bodenbach, Czechoslovakia) is a German-Australian theoretical physicist who made contributions to solid state physics, optical properties of plasma with relativistic and quantum effects and nonlinear dynamics with applications of lasers for producing nuclear fusion energy.

Homotopy analysis method

The HAM is an analytic approximation method designed for the computer era with the goal of "computing with functions instead of numbers." In conjunction with a computer algebra system such as Mathematica or Maple, one can gain analytic approximations of a highly nonlinear problem to arbitrarily high order by means of the HAM in only a few seconds.

Hyperbolic partial differential equation

\vec {f^j} \in C^1(\mathbb{R}^s, \mathbb{R}^s), j = 1, \ldots, d are once continuously differentiable functions, nonlinear in general.

Journal of Hyperbolic Differential Equations

The Journal of Hyperbolic Differential Equations was founded in 2004 and carries papers pertaining to nonlinear hyperbolic problems and related mathematical topics, specifically on the theory and numerical analysis of hyperbolic conservation laws and of hyperbolic partial differential equations arising in mathematical physics.

Kaup

Kaup–Kupershmidt equation, the nonlinear fifth-order partial differential equation

Kuzyk quantum gap

In 2000, Professor Mark G. Kuzyk of Washington State University calculated the fundamental limit of the nonlinear-optical susceptibility of molecules.

Leon O. Chua

IEEE Circuits and Systems Society Vitold Belevitch Award (2007), For seminal contributions to nonlinear circuit theory, the first mathematically proven physical implementation of Chaos (Chua circuit), the local activity principle as the root of complexity, the cellular neural/nonlinear network principle and basic theory, and the qualitative theory of complexity in 1D cellular automata.

Logistic equation

Logistic map, a nonlinear recurrence relation that plays a prominent role in chaos theory

Michael F. Shlesinger

He subsequently went on to head their physics division, before being named ONR's chief scientist for nonlinear science.

Michael Struwe

His publications include the book Variational methods (Applications to nonlinear PDE and Hamiltonian systems) (Springer-Verlag, 1990), which was praised by Jürgen Jost as "very useful" with an "impressive range of often difficult examples".

Nicolas Minorsky

In her memorial paper to Nicolas Minorsky published in the IEEE Transactions On Automatic Control, author Irmgard Flügge-Lotz stated that Minorsky's greatest contribution to the development of nonlinear mechanics in the U.S. was Minorsky's early recognition that important papers in the field were being published in the Soviet Union in a language that few American researchers could read.

Nonlinear element

In an electric circuit, a nonlinear element or nonlinear device is an electrical element which does not have a linear relationship between current and voltage.

Organic photorefractive materials

Organic photorefractive materials are a nonlinear medium in which large amounts of information can be recorded and read.

Philippe Le Corbeiller

He was a close friend of Dutch physicist Balthasar van der Pol, whose work on nonlinear self-oscillating dynamical systems (see van der Pol oscillator) he extended and popularized among electrical engineers, mathematicians, and economists.

Power series solution of differential equations

Most nonlinear equations can be solved by using the Parker-Sochacki method, which is a slight variation of the auxiliary variable method.

Process engineering

Supporting tools: sequential modular simulation, equation based process simulation, AI/expert systems, large-scale nonlinear programming (NLP), optimization of differential algebraic equations (DAEs), mixed-integer nonlinear programming (MINLP), global optimization

QEP

Quadratic eigenvalue problem, a special case of nonlinear eigenproblem in mathematics

QPM

Quasi-phase-matching, a technique in nonlinear optics which allows a positive net flow of energy from the pump frequency to the signal and idler frequencies by creating a periodic structure in the nonlinear medium

Robert W. Boyd

He is currently Canada Excellence Research Chair in Quantum Nonlinear Optics at the University of Ottawa and on the Faculty at the University of Rochester.

In 2010 he became Professor of Physics and Canada Excellence Research Chair in Quantum Nonlinear Optics at the University of Ottawa.

Stanley F. Schmidt

From 1946 to 1961, he was with NASA Ames Research Center, where he discovered the utility of the Kalman filter as applied to data processing for the nonlinear navigation equations of the manned lunar mission.

The Negatones

In step with their stylistic dichotomies, they are known for both championing analog gear such as Moog synthesizers and magnetic tape recorders, as well as forging unmistakably digital mixes using the nonlinear computer recording platform Pro Tools.

Thue–Morse sequence

An example showed how to pour cups of coffee of equal strength from a carafe with a nonlinear concentration gradient, prompting a whimsical article in the popular press.

Unscented transform

In 1994 Jeffrey Uhlmann noted that the EKF takes a nonlinear function and partial distribution information (in the form of a mean and covariance estimate) of the state of a system but applies an approximation to the known function rather than to the imprecisely-known probability distribution.

Variance-based sensitivity analysis

Variance-based measures of sensitivity are attractive because they measure sensitivity across the whole input space (i.e. it is a global method), they can deal with nonlinear responses, and they can measure the effect of interactions in non-additive systems.

Volterra series

Giannakis G.B & Serpendin E: A bibliography on nonlinear system identification. Signal Processing, 81 2001 533–580.


see also