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- ...ath> is the semiflow<ref>M. Brin and G. Stuck, ''Introduction to Dynamical Systems'', Cambridge University Press, 2002.</ref> <math>f_t:X_r\to X_r</math> indu [[Category:Dynamical systems]] ...935 bytes (167 words) - 08:58, 21 September 2023
- In [[mathematics]], the '''normal form''' of a [[dynamical system]] is a simplified form that can be useful in determining the system' ...for determining local [[bifurcation theory|bifurcations]] in a system. All systems exhibiting a certain type of bifurcation are locally (around the equilibriu ...2 KB (282 words) - 01:51, 13 June 2024
- ...tion)|evolution function]] of [[Recurrence relation|the discrete nonlinear dynamical system]].<ref>[https://macau.uni-kiel.de/receive/diss_mods_00000781?lang=en ...2 KB (252 words) - 23:26, 22 March 2024
- ...s theorem on dynamical systems''' is a result on stability of solutions of systems of [[differential equation]]s. It has applications to [[chemical kinetics] [[Category:Theorems in dynamical systems]] ...2 KB (273 words) - 17:04, 27 January 2022
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- In [[applied mathematics]], a '''trapping region''' of a [[dynamical system]] is a region such that every trajectory that starts within the trap ...th> for all <math>t > 0</math>.<ref>Meiss, J. D., ''Differential dynamical systems'', Philadelphia: Society for Industrial and Applied Mathematics, 2007.</ref ...860 bytes (124 words) - 02:17, 28 April 2024
- ...range stability''' is a concept in the [[stability theory]] of [[dynamical systems]], named after [[Joseph-Louis Lagrange]]. ...<math>x \in M </math> in a real continuous [[Dynamical system (definition)|dynamical system]] <math>(T,M,\Phi)</math>, where <math>T</math> is <math>\mathbb{R}< ...2 KB (262 words) - 04:34, 4 October 2022
- ...al geometry|discrete dynamical systems|Exponential map (discrete dynamical systems)}} ...848 bytes (118 words) - 00:24, 14 December 2017
- In [[dynamical systems theory]], the '''Bogdanov map''' is a [[chaos theory|chaotic]] 2D [[map (ma * DK Arrowsmith, CM Place, An introduction to dynamical systems, Cambridge University Press, 1990. ...1 KB (182 words) - 19:00, 19 July 2022
- ...asic notion in the [[Conley index]] theory. Its variant for non-invertible systems is used in formulating a precise mathematical definition of an [[attractor] Let ''X'' be the phase space of an invertible discrete or continuous dynamical system with evolution operator ...2 KB (303 words) - 20:21, 4 July 2017
- ...ath> is the semiflow<ref>M. Brin and G. Stuck, ''Introduction to Dynamical Systems'', Cambridge University Press, 2002.</ref> <math>f_t:X_r\to X_r</math> indu [[Category:Dynamical systems]] ...935 bytes (167 words) - 08:58, 21 September 2023
- {{Short description|Class of graph dynamical systems}} [[File:SDSphase1.png|thumbnail|right|Phase space of the sequential dynamical system]] ...4 KB (669 words) - 00:32, 3 March 2023
- In [[mathematics]], the '''normal form''' of a [[dynamical system]] is a simplified form that can be useful in determining the system' ...for determining local [[bifurcation theory|bifurcations]] in a system. All systems exhibiting a certain type of bifurcation are locally (around the equilibriu ...2 KB (282 words) - 01:51, 13 June 2024
- ...tion)|evolution function]] of [[Recurrence relation|the discrete nonlinear dynamical system]].<ref>[https://macau.uni-kiel.de/receive/diss_mods_00000781?lang=en ...2 KB (252 words) - 23:26, 22 March 2024
- ...riterion''' is a necessary and sufficient condition for the stability of [[dynamical system]]s in the plane. It was derived by [[Aleksandr Andronov]] and [[Lev A dynamical system ...3 KB (364 words) - 14:44, 14 July 2023
- ...'' is a [[topological manifold]] that is invariant under the action of the dynamical system.<ref>Hirsh M.W., Pugh C.C., Shub M., Invariant Manifolds, Lect. Note ...ts. The utility of an invariant manifold description of the evolution of a dynamical system. SIAM J. Math. Anal., 20:1447–1458, 1989. http://locus.siam.org/SIMA ...5 KB (736 words) - 17:37, 6 January 2024
- ...r|dean}} and is a co-author of two textbooks on [[calculus]] and dynamical systems. ...ics, areas within dynamical systems that examine the long-term behavior of systems through a mathematical lens. She is also involved in initiatives that suppo ...4 KB (535 words) - 19:22, 10 November 2024
- ...and form one of the simplest and best studied classes of smooth dynamical systems. They are named after [[Marston Morse]], the creator of the [[Morse theory] * [[Gradient-like dynamical systems]] are a particular case of Morse–Smale systems. ...5 KB (693 words) - 08:17, 7 November 2023
- ...sts that numerical solutions can be trusted to represent the orbits of the dynamical system. However, caution should be exercised as some shadowing trajectories .... |last2=Hasselblatt |title=Introduction to the Modern Theory of Dynamical Systems |url=https://archive.org/details/introductiontomo0000kato |url-access=regis ...4 KB (491 words) - 15:08, 20 March 2024
- ...gical dynamical system]] may be thought of heuristically as a “topological dynamical [[probability measure]]” of the subset. More precisely, its value for a set A topological dynamical system consists of a [[compact space|compact]] [[Hausdorff space|Hausdorff] ...2 KB (332 words) - 17:38, 29 June 2024
- ...s theorem on dynamical systems''' is a result on stability of solutions of systems of [[differential equation]]s. It has applications to [[chemical kinetics] [[Category:Theorems in dynamical systems]] ...2 KB (273 words) - 17:04, 27 January 2022
- {{short description|Result in theory of Hamiltonian systems}} ...y Nekhoroshev]] in 1971.<ref>{{cite journal| title=Behavior of Hamiltonian systems close to integrable | journal=Functional Analysis and Its Applications | ye ...2 KB (327 words) - 14:21, 29 December 2023
- {{Short description|Type of dynamical system}} In the theory of [[dynamical systems]], a '''bailout embedding''' is a system defined as<ref>{{cite journal | la ...3 KB (447 words) - 01:54, 8 February 2024
- ...ypically appear as solutions of certain asymptotic problems in [[dynamical systems]]. The most common is the [[stable manifold]] or its kin, the unstable man [[Category:Dynamical systems]] ...2 KB (239 words) - 10:14, 19 June 2020
- {{Short description|Theorem in dynamical systems theory}} ...delay differential equation]]s, proof of [[chaotic behavior]] in dynamical systems, and [[bifurcation theory]]. Conley index theory formed the basis for devel ...6 KB (865 words) - 13:08, 1 November 2024