Sistem dinamis: Perbedaan antara revisi
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{{about|aspek umum dari sistem dinamikal|detail teknikal|Sistem dinamikal (definisi)|studi|Teori sistem dinamikal}}
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[[Berkas:Lorenz attractor yb.svg|
Dalam [[matematika]], '''sistem dinamikal''' adalah sebuah sistem dimana sebuah [[fungsi (matematika)|fungsi]] mendeskripsikan ketergantungan waktu dari sebuah titik dalam sebuah [[manifold|ruang geometri]]. Contoh-contohnya meliputi [[model matematika]] yang mendeskripsikan gerak [[pendulum]] jam, [[dinamika fluida|aliran air dalam sebuah pipa]], dan [[dinamika populasi|jumlah ikan setiap musim semi di danau]].
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Studi sistem dinamikal adalah fokus [[teori sistem dinamikal]], yang memiliki aplikasi kepada serangkaian besar bidang seperti matematika, fisika,<ref>{{cite journal|last1=Melby|first1=P.|last2=et.al.|title=Dynamics of Self-Adjusting Systems With Noise|journal=Chaos 15|date=2005|doi=10.1063/1.1953147|bibcode=2005Chaos..15c3902M}}</ref><ref>{{cite journal|last1=Gintautas|first1=V.|last2=et.al.|title=Resonant forcing of select degrees of freedom of multidimensional chaotic map dynamics|journal=J. Stat. Phys. 130|date=2008|doi=10.1007/s10955-007-9444-4|arxiv=0705.0311|bibcode=2008JSP...130..617G}}</ref> biologi,<ref>{{cite book |last1=Jackson |first1=T. |last2=Radunskaya |first2=A. |title=Applications of Dynamical Systems in Biology and Medicine |date=2015 |publisher=Springer }}</ref> kimia, teknik,<ref>{{cite book |first=Erwin |last=Kreyszig |title=Advanced Engineering Mathematics |location=Hoboken |publisher=Wiley |year=2011 |isbn=978-0-470-64613-7 }}</ref> ekonomi,<ref>{{cite book |last=Gandolfo |first=Giancarlo |authorlink=Giancarlo Gandolfo |title=Economic Dynamics: Methods and Models |location=Berlin |publisher=Springer |edition=Fourth |year=2009 |origyear=1971 |isbn=978-3-642-13503-3 }}</ref> dan kedokteran. Sistem dinamikal adalah sebuah bagian fundamental dari [[teori kekacauan]], dinamika [[peta logistik]], [[teori bifurkasi]], proses [[majelis diri]], dan konsep [[tepi kekacauan]].
== Referensi ==
{{reflist}}
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Karya yang menyediakan sorotan besar:
* {{cite book | author=[[Ralph Abraham (matematikawan)|Ralph Abraham]] and [[Jerrold E. Marsden]] | title= Foundations of mechanics | publisher= Benjamin–Cummings | year= 1978 | isbn=0-8053-0102-X}}
* ''Encyclopaedia of Mathematical Sciences'' ({{ISSN|0938-0396}}) has a sub-series on dynamical systems with reviews of current research.
* {{cite book |author1=Christian Bonatti |author2=Lorenzo J. Díaz |author3=Marcelo Viana | title= Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective| publisher= Springer | year= 2005 | isbn=3-540-22066-6}}
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* [http://complexity.xozzox.de/nonlinmappings.html Interactive applet for the Standard and Henon Maps] by A. Luhn
* [http://vlab.infotech.monash.edu.au/simulations/non-linear/ A collection of dynamic and non-linear system models and demo applets] (in Monash University's Virtual Lab)
* [http://www.arxiv.org/list/math.DS/recent Arxiv preprint server]
* [http://www.dynamicalsystems.org/ DSWeb] provides up-to-date information on dynamical systems and its applications.
* [http://www.scholarpedia.org/article/Encyclopedia_of_Dynamical_Systems Encyclopedia of dynamical systems] A part of [[Scholarpedia]] — peer reviewed and written by invited experts.
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* [http://www.math.rug.nl/~broer/ Dynamical Systems Group Groningen], IWI, University of Groningen.
* [http://www-chaos.umd.edu/ Chaos @ UMD]. Concentrates on the applications of dynamical systems.
* [http://www.math.stonybrook.edu/dynamical-systems], SUNY Stony Brook.
* [http://www.math.psu.edu/dynsys/ Center for Dynamics and Geometry], Penn State.
* [http://www.cds.caltech.edu/ Control and Dynamical Systems], Caltech.
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