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- A ''C*-groupoid system'' or ''groupoid C*-dynamical system'' ...of dynamical system. Thus, it can also be utilized to represent a quantum dynamical system ...2 KB (246 words) - 15:31, 12 September 2020
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- A ''C*-groupoid system'' or ''groupoid C*-dynamical system'' ...of dynamical system. Thus, it can also be utilized to represent a quantum dynamical system ...2 KB (246 words) - 15:31, 12 September 2020
- ...n(1987) showed that complex [[../ContinuousGroupoidHomomorphism/|dynamical systems]], dynamical systems can be thus numerically simulated. ...7 KB (991 words) - 15:29, 31 August 2020
- ==== Superoperators and dynamical maps ==== ...initial form to its form at time <math>t</math> and therefore is called a dynamical map. It is related to the unitary evolution operator <math>U(t)=\exp(-iHt/\ ...11 KB (1,943 words) - 09:38, 9 June 2022
- ===Dynamic Adjointness, Similarity and Analogous Systems.=== #''Comparing Systems: Similarity [[../Bijective/|relations]]''; ...10 KB (1,353 words) - 03:45, 13 September 2020
- .../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence/|systems]] and societies. ...nd societies in relation to the simpler, physicochemical/molecular/quantum systems. ...9 KB (1,166 words) - 03:31, 13 September 2020
- #Category of <math>(M,R)</math>--systems: a <math>Cc</math>-category #Category of [[../ContinuousGroupoidHomomorphism/|dynamical systems]] ...4 KB (431 words) - 15:37, 12 September 2020
- ===Time and Microentropy: Irreversibility in Open Systems=== ...dea/|concept]] of phase space trajectories is no longer meaningful and the dynamical description has to be replaced by the motion of distribution [[../Bijective ...8 KB (1,065 words) - 17:01, 17 January 2023
- ...estrictive. It turns out however that the categories of <math>(M,R)</math>-systems are "Cartesian closed'' , and may be considered in a very strict mathematic ...cation systems-- when extended to generalized, variable <math>(M,R)</math>-systems-- that were endowed with unique [[../CoIntersections/|algebraic]] and varia ...7 KB (1,054 words) - 16:03, 12 September 2020
- Boris Hasselblatt, A. B. Katok, Eds. (2002). ''Handbook of Dynamical Systems'' ., vol. 1A, p.678. North-Holland. ...3 KB (503 words) - 16:04, 12 September 2020
- making numerical measurements on physical [[../GenericityInOpenSystems/|systems]] and comparing *''\htmladdnormallink{Haar systems'' {http://planetphysics.us/encyclopedia/Groupoid.html} associated to measur ...9 KB (1,262 words) - 03:39, 13 September 2020
- A ''general system'' can be described as a dynamical `whole', or entity capable of maintaining its working conditions; more prec ...r-system'' of (sub)systems, as it is the case of ''emergent super-complex systems'' or organisms). ...7 KB (1,020 words) - 15:26, 12 September 2020
- ...ric algebras, the theory of [[../ContinuousGroupoidHomomorphism/|dynamical systems]], statistical physics and [[../SpaceTimeQuantizationInQuantumGravityTheori ...N. Varchenko, Solutions of the Quantum Dynamical Yang-Baxter Equation and Dynamical Quantum Groups, ''Comm.Math.Phys.'' , '''196''' : 591-640 (1998). ...11 KB (1,607 words) - 05:03, 12 September 2020
- ...ations are of increasing interest in Physics; Riccati equation and Ermakov systems enter the formalism of [[../SpaceTimeQuantizationInQuantumGravityTheories/| ===Ermakov systems=== ...8 KB (1,135 words) - 16:13, 12 September 2020
- ...inal contributions to harmonic analysis and the theory of smooth dynamical systems.'' '' ...3 KB (517 words) - 04:34, 12 September 2020
- ...s; the topic of bifurcation diagrams could cover continuous-time dynamical systems as well, but whether it really does needs more research. ..., it only plots a certain number of last visited values; therefore, if the dynamical system quickly converges near one or more attracting values, the result is ...28 KB (4,240 words) - 16:37, 12 February 2024
- .../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence/|systems]]'' at all levels of biological organization, from the quantum/molecular le ...esis on [[../RSystemsCategory/|relational biology]] (Metabolic-Replication Systems, or ...16 KB (2,245 words) - 05:58, 5 October 2023
- .../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence/|systems]]'' at all levels of biological organization, from the quantum/molecular le ...esis on [[../RSystemsCategory/|relational biology]] (Metabolic-Replication Systems, or ...16 KB (2,297 words) - 05:58, 5 October 2023
- .../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence/|systems]], .... Marinescu: 1968, Organismic Supercategories: Towards a Unitary Theory of Systems. ''Bulletin of Mathematical Biophysics'' '''30''' , 148-159. ...14 KB (2,052 words) - 04:56, 12 September 2020
- ...cing the student to fundamental mathematical concepts such as sets, number systems and proofs. ...xplores many concepts such as [[w:probability|uncertainty]], [[w:dynamical systems|change]], [[w:topology|space]] and [[w:Entropy_in_thermodynamics_and_inform ...10 KB (1,713 words) - 17:53, 17 December 2022
- .../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence/|systems]] can be unified by a presentation with [[../CommutativeSquareDiagram/|diag .... Marinescu: 1968, Organismic Supercategories: Towards a Unitary Theory of Systems. ''Bulletin of Mathematical Biophysics'' '''30''' , 148-159. ...13 KB (1,871 words) - 04:57, 12 September 2020