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Dynamics

swMATH ID: 9100
Software Authors: Nusse, Helena E.; Yorke, James A.
Description: Dynamics: numerical explorations. Accompanying computer program dynamics. Coauthored by Eric J. Kostelich. With 3 1/2” DOS Diskette. This program (and the accompanying handbook) is a tool to help visualize the properties of discrete and continuous dynamical systems, including the plotting of attractors, basins of attraction, the computing of straddle trajectories, the search for all periodic orbits of a specified period, bifurcation diagrams, the search for stable and unstable manifolds, the calculation of dimensions and Lyapunov exponents etc.par The program provides about 30 maps and differential equations to choose from (e.g., the logistic map, the Lorenz system or Chua’s circuit), one can play around with the parameters, but, unless one invests in an additional C compiler, one can not insert new equations.
Homepage: http://yorke.umd.edu/dynamics/
Keywords: structure of attractors; bifurcation theory; chaos
Related Software: AUTO; HomCont; Mathematica; DSTool; DMC; TISEAN; AUTO-86; MPI; Maple; COCO; OpenCL; CUDA; GSL; AUTO-07P; K2; igraph; Julia; AUTO2000; gnuplot; E&F Chaos
Referenced in: 181 Publications
all top 5

Referenced by 263 Authors

12 Sanjuán, Miguel A. F.
12 Yorke, James Alan
11 Yagasaki, Kazuyuki
11 Zhang, Wei
9 Nusse, Helena Engelina
8 Wiercigroch, Marian
7 Kumar Upadhyay, Ranjit
6 Kapitaniak, Tomasz
6 Warmiński, Jerzy
5 Szemplińska-Stupnicka, Wanda
5 Yakubu, Abdul-Aziz
5 Yao, Minghui
4 Crass, Scott
4 Grebogi, Celso
4 Lenci, Stefano
4 Litak, Grzegorz
4 Pavlovskaia, Ekaterina E.
4 Stefanski, Andrzej
4 Tyrkiel, Elżbieta
3 Banerjee, Soumitro
3 Cartmell, Matthew P.
3 Daza, Alvar
3 Jones, Christopher K. R. T.
3 Kecik, Krzysztof
3 Kurths, Jürgen
3 Njah, Abdulahi Ndzi
3 Ott, Edward
3 Rai, Vikas
3 Vincent, Uchechukwu E.
3 Vitanov, Nikolay K.
3 Wagemakers, Alexandre
3 Wu, Qiong
3 Zhang, Yongxiang
3 Zubrzycki, Andrzej
2 Aguirre, Jacobo
2 Akroune, Nourredine
2 Bollt, Erik M.
2 Cao, Hongjun
2 Chen, Hongkui
2 Dieci, Roberto
2 Dimitrova, Zlatinka I.
2 Hommes, Cars H.
2 Iñarrea, Manuel
2 Jing, Zhujun
2 Karpenko, Evgueni V.
2 Kennedy, Judy A.
2 Klebanoff, Aaron
2 Li, Shuang
2 Liu, Zhengrong
2 Olusola, Olasunkanmi I.
2 Perlikowski, Przemyslaw
2 Rega, Giuseppe
2 Robert, Carl
2 Sakajo, Takashi
2 Sekhavat, Pooya
2 Seoane, Jesús M.
2 Sepehri, Nariman
2 Vallejo, Juan Carlos
2 Wang, Fengxia
2 Wang, Ruiqi
2 Xu, Qingyu
2 Xu, Xu
2 Yang, Zhiyan
2 Zhan, Xueping
1 Adamopoulos, Miltiadis
1 Aihara, Kazuyuki
1 Akinlade, O.
1 Alligood, Kathleen T.
1 Andonovski, Nemanja
1 Avrutin, Viktor
1 Aziz-Alaoui, Moulay-Ahmed
1 Balakrishnan, Janaki
1 Balthazar, José Manoel
1 Belardinelli, Pierpaolo
1 Bradley, Elizabeth
1 Brzeski, Piotr
1 Cardoni, A.
1 Charytanowicz, Malgorzata
1 Chavarette, Fábio Roberto
1 Chen, Yushu
1 Chiarella, Carl
1 Chong, Antonio S. E.
1 Cocco Mariani, Viviana
1 Coccolo, Mattia
1 Csernák, Gábor
1 Dabrowski, Artur
1 Davidchack, Ruslan L.
1 de Paula Viveiros, Alexandre Magno
1 di Bernardo, Mario
1 Doedel, Eusebius J.
1 Donges, Jonathan F.
1 Donner, Reik V.
1 Dos Santos Coelho, Leandro
1 Dudkowski, Dawid
1 Edelev, A. V.
1 Emans, Joseph
1 Feĭgin, M. I.
1 Feng, Jinqian
1 Feudel, Fred
1 Feudel, Ulrike
...and 163 more Authors
all top 5

Referenced in 57 Serials

38 Chaos, Solitons and Fractals
20 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
19 Physica D
17 Nonlinear Dynamics
6 Chaos
5 Communications in Nonlinear Science and Numerical Simulation
4 Physics Letters. A
3 Journal of the Franklin Institute
3 Acta Mathematicae Applicatae Sinica. English Series
3 Experimental Mathematics
3 Journal of Difference Equations and Applications
3 Mathematical Problems in Engineering
2 Mathematical Biosciences
2 Meccanica
2 Topology and its Applications
2 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications
2 Journal of Physics A: Mathematical and General
2 Journal of Theoretical and Applied Mechanics (Warsaw)
2 Applied Mathematical Sciences
1 Computers & Mathematics with Applications
1 IMA Journal of Applied Mathematics
1 International Journal of Non-Linear Mechanics
1 International Journal of Solids and Structures
1 Journal of Sound and Vibration
1 Physica A
1 Physics Reports
1 Bulletin of Mathematical Biology
1 Journal of Differential Equations
1 Theoretical Computer Science
1 Cybernetics and Systems
1 Ergodic Theory and Dynamical Systems
1 Journal of Economic Dynamics & Control
1 Neural Networks
1 Annals of Physics
1 Applied Mathematical Modelling
1 International Journal of Robust and Nonlinear Control
1 Journal of Nonlinear Science
1 Computational Economics
1 Discrete and Continuous Dynamical Systems
1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
1 Discrete Dynamics in Nature and Society
1 New Journal of Physics
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 The ANZIAM Journal
1 Nonlinear Analysis. Real World Applications
1 Far East Journal of Dynamical Systems
1 Dynamical Systems
1 Discrete and Continuous Dynamical Systems. Series B
1 Differential Equations & Nonlinear Mechanics
1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino
1 World Scientific Series on Nonlinear Science. Series A
1 Journal of Biological Dynamics
1 Journal of Modern Dynamics
1 Communications in Theoretical Physics
1 Chilean Journal of Statistics
1 Journal of Theoretical Biology
1 Journal of Siberian Federal University. Mathematics & Physics

Referencing Publications by Year