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searching for Dynamical system 102 found (562 total)

alternate case: dynamical system

Z-matrix (mathematics) (332 words) [view diff] exact match in snippet view article

Jacobian of a competitive dynamical system is a Z-matrix by definition. Likewise, if the Jacobian of a cooperative dynamical system is J, then (−J) is a Z-matrix

List of zeta functions (379 words) [view diff] exact match in snippet view article find links to article

zeta function Arithmetic zeta function Artin–Mazur zeta function of a dynamical system Barnes zeta function or double zeta function Beurling zeta function

Observability (2,205 words) [view diff] exact match in snippet view article find links to article

Hungarian-American engineer Rudolf E. Kálmán for linear dynamic systems. A dynamical system designed to estimate the state of a system from measurements of the

Universal space (915 words) [view diff] exact match in snippet view article find links to article

→ X {\displaystyle \textstyle T:X\rightarrow X} . The topological dynamical system ( X , T ) {\displaystyle \textstyle (X,T)} is called minimal if it

Idris Assani (467 words) [view diff] exact match in snippet view article find links to article

as well as the introduction of Wiener-Wintner Dynamical System and, which is a class of dynamical system where one can obtain easier proofs of pointwise

Reservoir computing (2,891 words) [view diff] exact match in snippet view article find links to article

into a high dimensional dynamical system which is read out by a trainable single-layer perceptron. Two kinds of dynamical system were described: a recurrent

Artstein's theorem (195 words) [view diff] exact match in snippet view article find links to article

Artstein's theorem states that a nonlinear dynamical system in the control-affine form x ˙ = f ( x ) + ∑ i = 1 m g i ( x ) u i {\displaystyle {\dot {\mathbf

Howell Tong (1,289 words) [view diff] exact match in snippet view article find links to article

dimensionality for consistent estimation of the embedding dimension of a dynamical system), Markov chain modelling (with application to weather data), reliability

Markus–Yamabe conjecture (499 words) [view diff] exact match in snippet view article find links to article

conjecture on global asymptotic stability. If the Jacobian matrix of a dynamical system at a fixed point is Hurwitz, then the fixed point is asymptotically

International Journal of Biomathematics (58 words) [view diff] exact match in snippet view article find links to article

biomathematics, including mathematical ecology, infectious disease dynamical system, biostatistics and bioinformatics. It was established in 2008 and is

Ornstein isomorphism theorem (675 words) [view diff] case mismatch in snippet view article find links to article

Entropy of a Dynamical System", Doklady of Russian Academy of Sciences 124, pp. 768–771. Ya. G. Sinai, (2007) "Metric Entropy of Dynamical System" Christopher

Pfaffian constraint (653 words) [view diff] exact match in snippet view article find links to article

In dynamics, a Pfaffian constraint is a way to describe a dynamical system in the form: ∑ s = 1 n A r s d u s + A r d t = 0 ; r = 1 , … , L {\displaystyle

Orbit capacity (348 words) [view diff] exact match in snippet view article find links to article

In mathematics, the orbit capacity of a subset of a topological dynamical system may be thought of heuristically as a “topological dynamical probability

Mean dimension (979 words) [view diff] exact match in snippet view article find links to article

In mathematics, the mean (topological) dimension of a topological dynamical system is a non-negative extended real number that is a measure of the complexity

Rokhlin lemma (3,893 words) [view diff] exact match in snippet view article find links to article

in ergodic theory. It states that an aperiodic measure preserving dynamical system can be decomposed to an arbitrary high tower of measurable sets and

Bregman Lagrangian (214 words) [view diff] exact match in snippet view article find links to article

Based on Bregman divergence, the Lagrangian is a continuous time dynamical system whose Euler-Lagrange equations can be linked to Nesterov's accelerated

Mean sojourn time (774 words) [view diff] exact match in snippet view article find links to article

mean sojourn time (or sometimes mean waiting time) for an object in a dynamical system is the amount of time an object is expected to spend in a system before

Barrier certificate (478 words) [view diff] exact match in snippet view article find links to article

forward invariant for a given ordinary differential equation or hybrid dynamical system. That is, a barrier function can be used to show that if a solution

Critical period hypothesis (7,728 words) [view diff] no match in snippet view article find links to article

The critical period hypothesis is a theory within the field of linguistics and second language acquisition that claims a person can only achieve native-like

Unscented optimal control (764 words) [view diff] exact match in snippet view article find links to article

coworkers. Suppose that the initial state x 0 {\displaystyle x^{0}} of a dynamical system, x ˙ = f ( x , u , t ) {\displaystyle {\dot {x}}=f(x,u,t)} is an uncertain

Programming by demonstration (1,608 words) [view diff] exact match in snippet view article find links to article

learn the Lyapunov candidate that is used for stabilization of the dynamical system. For this reason, neural learning scheme that estimates stable dynamical

Logarithmic norm (2,507 words) [view diff] exact match in snippet view article find links to article

continuous dynamical system x ˙ = A x {\displaystyle {\dot {x}}=Ax} . Its role is analogous to that of the matrix norm for a discrete dynamical system x n +

John Trevor Stuart (644 words) [view diff] case mismatch in snippet view article find links to article

Bibcode:1978RSPSA.362...27S S2CID 119822941 1986: "Taylor-Vortex Flow: A Dynamical System", SIAM Review 28(3):315 342, Bibcode:1986SIAMR..28...10S, doi:10.1137/1028104

Richard Liboff (539 words) [view diff] exact match in snippet view article find links to article

distribution relevant to high-field transport in a semiconductor. An ideal dynamical system was shown to be irreversible.[citation needed] Richard Liboff is the

Causality (physics) (2,138 words) [view diff] exact match in snippet view article

proposes: "Small variations of the initial condition of a nonlinear dynamical system may produce large variations in the long term behavior of the system

Robert Ellis (mathematician) (324 words) [view diff] exact match in snippet view article

Nationality American Known for Ellis semigroup of a dynamical system; Ellis action of a dynamical system Scientific career Fields Mathematics Doctoral advisor

1900 in science (1,419 words) [view diff] exact match in snippet view article find links to article

1998), English mathematician, one of the first people to analyze a dynamical system with chaos. Robina Addis (died 1986), English psychiatric social worker

Tipping point (sociology) (1,168 words) [view diff] exact match in snippet view article

Saddle-node bifurcation – Local bifurcation in which two fixed points of a dynamical system collide and anni Self-fulfilling prophecy – Prediction that causes

UniverseMachine (875 words) [view diff] exact match in snippet view article find links to article

Computer simulation of the universe N-body simulation – Simulation of a dynamical system of particles Stolte, Daniel (9 August 2019). "Virtual 'Universe Machine'

Controlled invariant subspace (285 words) [view diff] exact match in snippet view article find links to article

feedback controlled invariant subspaces in the design of a generalized dynamical system", Proceedings of the 24th IEEE Conference on Decision and Control,

Alberto Calderón (2,045 words) [view diff] exact match in snippet view article find links to article

maximal inequalities for abstract dynamical systems to the case of the dynamical system on the integers, on the reals or, more generally, on the acting group

Adaptable robotics (2,131 words) [view diff] exact match in snippet view article find links to article

Matteo; Poni, Stefano; Caldwell, Darwin; Chen, Fei (June 2023). "Fuzzy dynamical system for robot learning motion skills from human demonstration". Robotics

Pentagram (4,805 words) [view diff] exact match in snippet view article find links to article

Armed Forces Pentachoron – the 4-simplex Pentagram map – Discrete dynamical system on the moduli space of polygons in the projective plane Pentalpha –

Newton fractal (1,713 words) [view diff] case mismatch in snippet view article find links to article

Newton's Method by Dierk Schleicher July 21, 2000 Newton's Method as a Dynamical System by Johannes Rueckert Newton's Fractal (which Newton knew nothing about)

Holonomic constraints (4,021 words) [view diff] exact match in snippet view article find links to article

even one test combination, the system is nonholonomic. Consider this dynamical system described by a constraint equation in Pfaffian form. cos ⁡ ( θ ) d

Alexander Kuzemsky (2,296 words) [view diff] exact match in snippet view article find links to article

out. The problem about the appearance of a stochastic process in a dynamical system which is submitted to the influence of a "large" system was considered

Rough path (5,768 words) [view diff] exact match in snippet view article find links to article

effectively so as to accurately predict its effect on a nonlinear dynamical system d y t = f ( y t ) d x t , y 0 = a {\displaystyle \mathrm {d} y_{t}=f(y_{t})\

Tinker Bell (disambiguation) (114 words) [view diff] exact match in snippet view article

first animated film Tinkerbell effect Tinkerbell map, a discrete-time dynamical system Tinkerbelle, a sailboat Tinkerbelle the Dog, canine model Tinkebell

Speed wobble (1,183 words) [view diff] exact match in snippet view article find links to article

bifurcation, a mathematical phenomenon in which a stable fixed point of a dynamical system loses stability as a parameter changes, giving rise to a limit cycle

December 17 (5,294 words) [view diff] exact match in snippet view article find links to article

English mathematician and academic, one of the first people to analyze a dynamical system with chaos (d. 1998) 1903 – Erskine Caldwell, American novelist and

Mpemba effect (3,536 words) [view diff] exact match in snippet view article find links to article

effect. They concluded that certain initial conditions of a quantum-dynamical system can lead to a simultaneous increase in the thermalization rate and

Monotropism (748 words) [view diff] case mismatch in snippet view article find links to article

ISBN 9781843101666. Lesser, Mike; Murray, Dinah (2020) [1998]. "Mind as a Dynamical System: Implication for Autism". In Murray, Dinah; Milton, Damian; Ridout

Overlapping generations model (2,043 words) [view diff] case mismatch in snippet view article find links to article

Two-Sector Overlapping-Generations Model: A Global Characterization of the Dynamical System". Econometrica. 60 (6): 1351–1386. doi:10.2307/2951525. JSTOR 2951525

Quantum feedback (649 words) [view diff] exact match in snippet view article find links to article

entirely dynamical (that is, the plant and controller form a single dynamical system and the controller with the two influencing each other through direct

History of classical mechanics (2,844 words) [view diff] exact match in snippet view article find links to article

the problem of whether or not a small perturbation of a conservative dynamical system resulted in a quasiperiodic orbit in celestial mechanics. The same

Morse theory (3,398 words) [view diff] exact match in snippet view article find links to article

displaying wikidata descriptions as a fallback Morse–Smale system – smooth dynamical system whose non-wandering set consists of finitely many hyperbolic equilibrium

Digital image processing (5,045 words) [view diff] exact match in snippet view article find links to article

"Efficient color image steganography based on new adapted chaotic dynamical system with discrete orthogonal moment transforms". Mathematics and Computers

Gap gene (901 words) [view diff] exact match in snippet view article find links to article

understood as arising from the actions of attractors in the gap gene dynamical system. Drosophila embryogenesis Pair-rule gene Nüsslein-Volhard C, Wieschaus

Jan Camiel Willems (594 words) [view diff] exact match in snippet view article find links to article

approach to systems theory and control. In the behavioral approach a dynamical system is simply viewed as a family of trajectories. This approach avoids

Ideal gas (3,828 words) [view diff] exact match in snippet view article find links to article

deviation of a real gas from ideal gas behavior Dynamical billiards – Dynamical system abstract an ideal game of billiards, with elastic collisions off boundaries

Threshold model (1,768 words) [view diff] case mismatch in snippet view article find links to article

1080/0022250X.1971.9989794. Tong, H. (1990) Non-linear Time Series: A Dynamical System Approach, OUP. ISBN 0-19-852224-X Calabrese, E.J.; Baldwin, L.A. (2003)

P600 (neuroscience) (1,867 words) [view diff] exact match in snippet view article

Graben, Peter; Gerth, Sabrina; Vasishth, Shravan (2008). "Towards dynamical system models of language-related brain potentials". Cognitive Neurodynamics

Volodymyr Koshmanenko (959 words) [view diff] exact match in snippet view article find links to article

structural similarity measures and proposed a series models of complex dynamical system with conflict interaction which are named: conflict triad, fire-water

Albert C.J. Luo (2,260 words) [view diff] exact match in snippet view article find links to article

motions to chaos in nonlinear dynamical systems. Dr Luo developed a dynamical system synchronization theory based on the local singularity theory of discontinuous

Néron–Tate height (1,802 words) [view diff] exact match in snippet view article find links to article

Faltings height of A / K {\displaystyle A/K} . A polarized algebraic dynamical system is a triple ( V , φ , L ) {\displaystyle (V,\varphi ,L)} consisting

Small boundary property (829 words) [view diff] exact match in snippet view article find links to article

Lebesgue covering dimension zero. Consider the category of topological dynamical system (system in short) consisting of a compact metric space X {\displaystyle

SETAR (model) (914 words) [view diff] case mismatch in snippet view article

Statistics, Springer-Verlag. Tong, H. (1990). Non-Linear Time Series: A Dynamical System Approach. Oxford University Press. Tong, H. (2007). "Birth of the time

Negative feedback (5,043 words) [view diff] exact match in snippet view article find links to article

stability criterion – Graphical method of determining the stability of a dynamical system Open-loop controller – Control system whose input is independent of

Lyapunov theorem (203 words) [view diff] exact match in snippet view article find links to article

between two values Lyapunov time, characteristic timescale on which a dynamical system is chaotic Probability theory, the branch of mathematics concerned

Moshe Zakai (1,333 words) [view diff] exact match in snippet view article find links to article

to the problem of the optimal filtering of a wide class of linear dynamical system is known as the Kalman filter. This led to the same problem for nonlinear

Phase transition (6,647 words) [view diff] exact match in snippet view article find links to article

this is a phase transition from latent to manifest phases within the dynamical system.: 49 Allotropy – Property of some chemical elements to exist in two

Reynolds-averaged Navier–Stokes equations (2,374 words) [view diff] exact match in snippet view article find links to article

condition at t 0 {\displaystyle t_{0}} . In the case of a chaotic dynamical system, which the equations under turbulent conditions are thought to be,

Mirta Galesic (596 words) [view diff] exact match in snippet view article find links to article

Galesic, Mirta; McGuinness, Harvey; Harutyunyan, Ani (2021-08-31). "Dynamical system model predicts when social learners impair collective performance"

Phragmen's voting rules (3,361 words) [view diff] exact match in snippet view article find links to article

S2CID 208291203. Janson, Svante; Öberg, Anders (2017). "A piecewise contractive dynamical system and election methods". arXiv:1709.06398 [math.DS]. Camps, Rosa; Mora

Webots (946 words) [view diff] exact match in snippet view article find links to article

"Hand placement during quadruped locomotion in a humanoid robot: A dynamical system approach" (PDF). Biologically Inspired Robotics Group. 2007. "Distributed

Julia set (5,718 words) [view diff] exact match in snippet view article find links to article

The image on the right shows the case n = 3. A very popular complex dynamical system is given by the family of complex quadratic polynomials, a special

Vector field reconstruction (1,352 words) [view diff] exact match in snippet view article find links to article

reconstruction. Usually, the system being modelled in this way is a chaotic dynamical system, because chaotic systems explore a large part of the phase space and

History of quantum field theory (5,644 words) [view diff] exact match in snippet view article find links to article

(on shell and off shell) pairs, and, hence, is a seething and busy dynamical system in its own right. This was a critical step in identifying the source

Paul Smolensky (759 words) [view diff] exact match in snippet view article find links to article

Matthew; Smolensky, Paul (2017). "Incremental parsing in a continuous dynamical system: Sentence processing in Gradient Symbolic Computation". Linguistics

Precision livestock farming (1,112 words) [view diff] exact match in snippet view article find links to article

the dynamics of the combined grass-animals system as a predator-prey dynamical system. This PPGL model has been used to simulate the effect of forage deficiency

Kolmogorov complexity (7,563 words) [view diff] exact match in snippet view article find links to article

Brudno, A. (1983). "Entropy and the complexity of the trajectories of a dynamical system". Transactions of the Moscow Mathematical Society. 2: 127–151. Cover

River plume (4,005 words) [view diff] exact match in snippet view article find links to article

cycles, primary production, and seabed morphology. A river plume is a dynamical system influenced by processes with a wide range of temporal and spatial scales

Noether's second theorem (2,764 words) [view diff] exact match in snippet view article find links to article

physics, such as the prevailing Standard Model. Suppose that we have a dynamical system specified in terms of m {\textstyle m} independent variables x = (

Ensemble interpretation (6,337 words) [view diff] exact match in snippet view article find links to article

applies to the states, with either of the above meanings, of any one dynamical system. It requires us to assume that between these states there exist peculiar

Taylor–Couette flow (1,950 words) [view diff] case mismatch in snippet view article find links to article

Guckenheimer, John (1983). "Strange attractors in fluid dynamics". Dynamical System and Chaos. Lecture Notes in Physics. Vol. 179. Springer Berlin. pp

Nuclear organization (3,819 words) [view diff] case mismatch in snippet view article find links to article

(18 November 2020). "Understanding and Engineering Chromatin as a Dynamical System across Length and Timescales". Cell Systems. 11 (5): 424–448. doi:10

Chaotic scattering (1,777 words) [view diff] exact match in snippet view article find links to article

iterated function map, a common method of representing a chaotic, dynamical system. Figure 7 shows one possible representation of the variables, with

United States Naval Observatory Flagstaff Station (4,183 words) [view diff] exact match in snippet view article find links to article

detections of exoplanets, Vilnius photometry, M-Dwarf star analysis, dynamical system analysis, reference support to orbiting space object information, horizontal

Frederic Wan (2,448 words) [view diff] case mismatch in snippet view article find links to article

a book to be read and enjoyed." At the end of a lengthy review of Dynamical System Models in the Life Sciences and Their Underlying Scientific Issues

Binding problem (6,818 words) [view diff] exact match in snippet view article find links to article

independently to integrate them into object representations. Even the embodied dynamical system approach cannot get around the cue to noise problem. The application

Yuichi Shoda (1,195 words) [view diff] exact match in snippet view article find links to article

1177/0146167211416130. Shoda, Y. (2007). Computational modeling of personality as a dynamical system. Handbook of research methods in personality psychology, 633-651. Shoda

Duane McRuer (2,020 words) [view diff] exact match in snippet view article find links to article

Oscillations". McRuers's crossover model is a mathematical description of a dynamical system operated by a human being, and is foundational in the field of human-machine

Pedal equation (1,591 words) [view diff] exact match in snippet view article find links to article

can be surprisingly easily obtained in pedal coordinates. Consider a dynamical system: x ¨ = F ′ ( | x | 2 ) x + 2 G ′ ( | x | 2 ) x ˙ ⊥ , {\displaystyle

Chandrasekhar equations (664 words) [view diff] exact match in snippet view article find links to article

the development of the Chandrasekhar equations. Consider a linear dynamical system x ˙ ( t ) = A x ( t ) + B u ( t ) {\displaystyle {\dot {x}}(t)=Ax(t)+Bu(t)}

List of eponymous laws (10,500 words) [view diff] exact match in snippet view article find links to article

for the asymptotic stability of an autonomous (possibly nonlinear) dynamical system. Named for mathematician Joseph P. LaSalle. Leavitt's law: In astronomy

Periodic points of complex quadratic mappings (3,026 words) [view diff] exact match in snippet view article find links to article

Critical orbit of discrete dynamical system based on complex quadratic polynomial. It tends to weakly attracting fixed point with abs(multiplier) = 0.99993612384259

Hyperpolarized carbon-13 MRI (1,974 words) [view diff] exact match in snippet view article find links to article

substrate spreads through the body and is metabolized. This necessitates dynamical system modelling and estimation for quantifying metabolic reaction rates.

Bunce–Deddens algebra (1,632 words) [view diff] exact match in snippet view article find links to article

section that the K1 group of any Bunce–Deddens algebra is Z. A C*-dynamical system is a triple (A, G, σ), where A is a C*-algebra, G a group, and σ an

List of people considered father or mother of a scientific field (5,681 words) [view diff] exact match in snippet view article find links to article

the three-body problem was the first discovered example of a chaotic dynamical system. Cartwright made the first mathematical analysis of dynamical systems

Stock-flow consistent model (2,820 words) [view diff] exact match in snippet view article find links to article

can be solved analytically and investigated by means of concepts of dynamical system theory such as bifurcation analysis. More complex models must be numerically

Ralph Siegel (scientist) (1,887 words) [view diff] exact match in snippet view article

PMID 3336437. S2CID 8462464. Siegel, R.M. (June 1990). "Non-linear dynamical system theory and primary visual cortical processing". Physica D: Nonlinear

Peter Coveney (2,771 words) [view diff] exact match in snippet view article find links to article

April 2024. Coveney, P.V. (1987). "Statistical mechanics of a large dynamical system interacting with an external time-dependent field: generalised correlation

Glossary of electrical and electronics engineering (19,294 words) [view diff] exact match in snippet view article find links to article

passing through it. Lyapunov stability A criterion for stability of a dynamical system; if disturbances from a stable point reduce and the system returns

Vector logic (3,789 words) [view diff] exact match in snippet view article find links to article

, 2, 79–88 beim Graben, P., Gerth, S., Vasishth, S.(2008) Towards dynamical system models of language-related brain potentials. Cogn. Neurodyn., 2, 229–255

Jinqiao Duan (1,202 words) [view diff] exact match in snippet view article find links to article

Serdukova, Y. Zheng, J. Duan and J. Kurths. Metastable phenomena in a dynamical system with discontinuous vector field. Scientific Reports (2017) 7: 9336

Rong Li (2,616 words) [view diff] exact match in snippet view article find links to article

biophysical approaches to understand cell polarity as a self-organizing, dynamical system. This advancement of quantitative and predictive understanding of cellular

Glossary of engineering: A–L (31,747 words) [view diff] exact match in snippet view article find links to article

freedom The number of parameters required to define the motion of a dynamical system. Delta robot A tripod linkage, used to construct fast-acting manipulators

Axel Timmermann (7,240 words) [view diff] exact match in snippet view article find links to article

FF Jin, Geophysical Research Letters 29 (1), 1003, 2002 Empirical dynamical system modeling of ENSO using nonlinear inverse techniques, A Timmermann,

Reversible cellular automaton (9,018 words) [view diff] exact match in snippet view article find links to article

The update rule of the automaton is an automorphism of the shift dynamical system defined by the state space and the translations of the lattice of cells

List of women in mathematics (23,148 words) [view diff] exact match in snippet view article find links to article

(1900–1998), British mathematician, one of the first to analyze a dynamical system with chaos María Andrea Casamayor (1700–1780), only 18th-century Spanish

Didier Sornette (8,347 words) [view diff] exact match in snippet view article find links to article

authors list (link) Yukalov V.I., Yukalova E.P., Sornette D. (2015). "Dynamical system theory of periodically collapsing bubbles". The European Physical Journal

BKL singularity (20,986 words) [view diff] exact match in snippet view article find links to article

effective description of the singularity in terms of a finite dimensional dynamical system described by ordinary differential equations with respect to time,