Discrete and Continuous Dynamical Systems Series B Aims

DCDS Flyer: showing all essential information of the journal.
Discrete and Continuous Dynamical Systems (DCDS) publishes peer-reviewed original and expository papers on the theory, methods and applications of analysis, differential equations and dynamical systems. The journal is committed to recording important new methods and results in its field and maintains the highest standards of innovation and quality. To be published in this journal, an original paper must be correct, new, nontrivial and of interest to a substantial number of readers.

• AIMS is a member of COPE. All AIMS journals adhere to the policies outlined in our Ethical Standards.
• Publishes 12 issues a year, monthly.
• Publishes online only.
• Archived in Portico and CLOCKSS.
• DCDS is a publication of the American Institute of Mathematical Sciences. All rights reserved.

Note: "Most Cited" is by Cross-Ref , and "Most Downloaded" is based on available data in the new website.

2022, 42(11) : 5167-5199 doi: 10.3934/dcds.2022090 +[Abstract](357) +[HTML](137) +[PDF](534.48KB)

Xin Yang$,$ Bing-Yu Zhang. Well-posedness and critical index set of the Cauchy problem for the coupled KdV-KdV systems on

\begin{document}$ \mathbb{T} $\end{document}

. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5167-5199. doi: 10.3934/dcds.2022090.

2022, 42(11) : 5201-5222 doi: 10.3934/dcds.2022091 +[Abstract](293) +[HTML](87) +[PDF](396.12KB)

Kyungkeun Kang$,$ Jihoon Lee$,$ Michael Winkler. Global weak solutions to a chemotaxis-Navier-Stokes system in

\begin{document}$ \mathbb{R}^3 $\end{document}

. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5201-5222. doi: 10.3934/dcds.2022091.

2022, 42(11) : 5223-5238 doi: 10.3934/dcds.2022092 +[Abstract](322) +[HTML](69) +[PDF](339.28KB)

Lidan Wang$,$ Lihe Wang$,$ Chunqin Zhou. The dimensional estimates of exponential growth solutions to uniformly elliptic equations of non-divergence form. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5223-5238. doi: 10.3934/dcds.2022092.

2022, 42(11) : 5239-5271 doi: 10.3934/dcds.2022095 +[Abstract](201) +[HTML](70) +[PDF](509.75KB)

Hiroki Matui. Long exact sequences of homology groups of étale groupoids. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5239-5271. doi: 10.3934/dcds.2022095.

2022, 42(11) : 5273-5287 doi: 10.3934/dcds.2022097 +[Abstract](179) +[HTML](73) +[PDF](327.59KB)

Saikat Mazumdar$,$ Jérôme Vétois. Non-synchronized solutions to nonlinear elliptic Schrödinger systems on a closed Riemannian manifold. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5273-5287. doi: 10.3934/dcds.2022097.

2022, 42(11) : 5289-5308 doi: 10.3934/dcds.2022098 +[Abstract](191) +[HTML](56) +[PDF](368.15KB)

Elias Zimmermann. Fiber entropy and algorithmic complexity of random orbits. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5289-5308. doi: 10.3934/dcds.2022098.

2022, 42(11) : 5309-5376 doi: 10.3934/dcds.2022100 +[Abstract](179) +[HTML](69) +[PDF](1172.72KB)

Lorenzo J. Díaz$,$ Katrin Gelfert$,$ Michał Rams. Mingled hyperbolicities: Ergodic properties and bifurcation phenomena (an approach using concavity). Discrete and Continuous Dynamical Systems, 2022, 42(11): 5309-5376. doi: 10.3934/dcds.2022100.

2022, 42(11) : 5377-5386 doi: 10.3934/dcds.2022101 +[Abstract](191) +[HTML](127) +[PDF](392.15KB)

Yan Gao. Monotonicity of entropy for unimodal real quadratic rational maps. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5377-5386. doi: 10.3934/dcds.2022101.

2022, 42(11) : 5387-5397 doi: 10.3934/dcds.2022102 +[Abstract](190) +[HTML](59) +[PDF](354.78KB)

Jinhui Li$,$ Guangqing Wang. An

\begin{document}$ L^{q}\rightarrow L^{r} $\end{document}

estimate for rough Fourier integral operators and its applications. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5387-5397. doi: 10.3934/dcds.2022102.

2022, 42(11) : 5399-5435 doi: 10.3934/dcds.2022105 +[Abstract](243) +[HTML](67) +[PDF](1306.22KB)

Natalie Priebe Frank$,$ Neil Mañibo. Spectral theory of spin substitutions. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5399-5435. doi: 10.3934/dcds.2022105.

2022, 42(11) : 5437-5451 doi: 10.3934/dcds.2022106 +[Abstract](182) +[HTML](52) +[PDF](353.19KB)

Yuanzhuo Song$,$ Zhen Wu. The general maximum principle for stochastic control problems with singular controls. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5437-5451. doi: 10.3934/dcds.2022106.

2022, 42(11) : 5453-5486 doi: 10.3934/dcds.2022109 +[Abstract](215) +[HTML](95) +[PDF](459.03KB)

Daniel Adams$,$ Manh Hong Duong$,$ Gonçalo dos Reis. Operator-splitting schemes for degenerate, non-local, conservative-dissipative systems. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5453-5486. doi: 10.3934/dcds.2022109.

2022, 42(11) : 5487-5508 doi: 10.3934/dcds.2022110 +[Abstract](196) +[HTML](72) +[PDF](443.1KB)

Wenke Tan$,$ Fan Wu. Energy conservation and regularity for the 3D magneto-hydrodynamics equations. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5487-5508. doi: 10.3934/dcds.2022110.

2022, 42(11) : 5509-5540 doi: 10.3934/dcds.2022111 +[Abstract](229) +[HTML](67) +[PDF](512.3KB)

Polona Durcik$,$ Rachel Greenfeld$,$ Annina Iseli$,$ Asgar Jamneshan$,$ José Madrid. An uncountable ergodic Roth theorem and applications. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5509-5540. doi: 10.3934/dcds.2022111.

2022, 42(11) : 5541-5576 doi: 10.3934/dcds.2022113 +[Abstract](219) +[HTML](62) +[PDF](475.73KB)

Claudio Bonanno$,$ Tanja I. Schindler. Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5541-5576. doi: 10.3934/dcds.2022113.

2022, 42(11) : 5577-5590 doi: 10.3934/dcds.2022114 +[Abstract](212) +[HTML](66) +[PDF](348.0KB)

Keiichi Watanabe. Strong time-periodic solutions to chemotaxis–Navier–Stokes equations on bounded domains. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5577-5590. doi: 10.3934/dcds.2022114.

2022, 42(11) : 5591-5611 doi: 10.3934/dcds.2022115 +[Abstract](209) +[HTML](64) +[PDF](398.96KB)

Xiaorui Li$,$ Duanzhi Zhang. Minimal P-cyclic periodic brake orbits in Hamiltonian systems. Discrete and Continuous Dynamical Systems, 2022, 42(11): 5591-5611. doi: 10.3934/dcds.2022115.

2010, 28(4) : 1669-1691 doi: 10.3934/dcds.2010.28.1669 +[Abstract](11208) +[PDF](382.7KB) Cited By(319)

2013, 33(5) : 2105-2137 doi: 10.3934/dcds.2013.33.2105 +[Abstract](7457) +[PDF](418.8KB) Cited By(292)

2005, 12(1) : 1-12 doi: 10.3934/dcds.2005.12.1 +[Abstract](5668) +[PDF](203.5KB) Cited By(209)

2009, 24(2) : 523-545 doi: 10.3934/dcds.2009.24.523 +[Abstract](9246) +[PDF](262.8KB) Cited By(202)

2007, 19(3) : 493-513 doi: 10.3934/dcds.2007.19.493 +[Abstract](6726) +[PDF](233.8KB) Cited By(202)

2004, 10(1&2) : 31-52 doi: 10.3934/dcds.2004.10.31 +[Abstract](8242) +[PDF](246.2KB) Cited By(198)

1996, 2(1) : 1-22 doi: 10.3934/dcds.1996.2.1 +[Abstract](4980) +[PDF](222.9KB) Cited By(170)

2002, 8(2) : 399-433 doi: 10.3934/dcds.2002.8.399 +[Abstract](8125) +[PDF](369.4KB) Cited By(169)

2005, 12(5) : 881-886 doi: 10.3934/dcds.2005.12.881 +[Abstract](5786) +[PDF](176.3KB) Cited By(168)

2008, 21(1) : 1-20 doi: 10.3934/dcds.2008.21.1 +[Abstract](10342) +[PDF](401.1KB) Cited By(155)

2002, 8(2) : 399-433 doi: 10.3934/dcds.2002.8.399 +[Abstract](8125) +[PDF](369.4KB) PDF Downloads(2499)

2018, 38(12) : 6215-6239 doi: 10.3934/dcds.2018267 +[Abstract](6600) +[HTML](376) +[PDF](531.03KB) PDF Downloads(2115)

2019, 39(11) : 6261-6276 doi: 10.3934/dcds.2019273 +[Abstract](2833) +[HTML](168) +[PDF](370.02KB) PDF Downloads(2089)

2012, 32(7) : 2565-2582 doi: 10.3934/dcds.2012.32.2565 +[Abstract](4933) +[PDF](444.9KB) PDF Downloads(1870)

2010, 28(4) : 1669-1691 doi: 10.3934/dcds.2010.28.1669 +[Abstract](11208) +[PDF](382.7KB) PDF Downloads(1404)

2003, 9(4) : 979-984 doi: 10.3934/dcds.2003.9.979 +[Abstract](3436) +[PDF](131.0KB) PDF Downloads(1345)

2008, 21(1) : 1-20 doi: 10.3934/dcds.2008.21.1 +[Abstract](10342) +[PDF](401.1KB) PDF Downloads(1205)

2013, 33(11&12) : 5319-5325 doi: 10.3934/dcds.2013.33.5319 +[Abstract](2790) +[PDF](258.5KB) PDF Downloads(1120)

2020, 40(6) : 3171-3200 doi: 10.3934/dcds.2020054 +[Abstract](3121) +[HTML](977) +[PDF](460.48KB) PDF Downloads(1116)

2007, 19(3) : 595-607 doi: 10.3934/dcds.2007.19.595 +[Abstract](3248) +[PDF](183.4KB) PDF Downloads(977)

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Source: https://www.aimsciences.org/journal/1078-0947

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