TISEAN swMATH ID: 967 Software Authors: Rainer Hegger, Holger Kantz, Thomas Schreiber Description: Practical implementation of nonlinear time series methods: The TISEAN package. We describe the implementation of methods of nonlinear time series analysis which are based on the paradigm of deterministic chaos. A variety of algorithms for data representation, prediction, noise reduction, dimension and Lyapunov estimation, and nonlinearity testing are discussed with particular emphasis on issues of implementation and choice of parameters. Computer programs that implement the resulting strategies are publicly available as the TISEAN software package. The use of each algorithm will be illustrated with a typical application. As to the theoretical background, we will essentially give pointers to the literature. Homepage: http://www.mpipks-dresden.mpg.de/~tisean/ Programming Languages: C, FORTRAN Related Software: Matlab; K2; SciPy; igraph; pyunicorn; Python; NetworkX; NumPy; PhysioToolkit; ns-2; Dynamics; DChaos; Maple; TIMES; LinMapTS; hosking.c; colorednoise.py; Powerlaw; Graph-tool; Jupyter Cited in: 162 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Practical implementation of nonlinear time series methods: The TISEAN package. Zbl 0990.37522Hegger, Rainer; Kantz, Holger; Schreiber, Thomas 1999 all top 5 Cited by 376 Authors 6 Small, Michael 5 Kantz, Holger 5 Rosa, Rodolfo 4 Cadusch, Peter J. 4 Dafilis, Mathew P. 4 Giannerini, Simone 4 Liley, David T. J. 3 Albuquerque, Holokx A. 3 Alves, Paulo Ricardo L. 3 Das, Atin 3 Dimitrova, Zlatinka I. 3 Kurths, Jürgen 3 Kuznetsov, Nikolay Vladimirovich 3 Litak, Grzegorz 3 Nikolov, Svetoslav G. 3 Read, Peter L. 3 Schreiber, Thomas 3 Vitanov, Nikolay K. 2 Aihara, Kazuyuki 2 Ambika, G. 2 Andreadis, Ioannis 2 Barazza, Fausto 2 Barrios, Guillermo 2 Bradley, Elizabeth 2 Carniel, Roberto 2 Danca, Marius-Florin 2 Das, Pritha 2 Dick, Scott 2 Escot, Lorenzo 2 Fragkou, Athanasios D. 2 Iu, Herbert Ho Ching 2 Kanamaru, Takashi 2 Karakasidis, Theodoros E. 2 Manchein, Cesar 2 Misra, Ranjeev 2 Munoz-Pacheco, Jesus Manuel 2 Pascolo, Paolo B. 2 Rechtman, Raúl 2 Rubinger, Rero M. 2 Sandubete, Julio E. 2 Sprott, Julien Clinton 2 Stemler, Thomas 2 Syta, Arkadiusz 2 Timmer, Jens 2 Tlelo-Cuautle, Esteban 2 Tse, Chi Kong 2 Tykierko, Mateusz 2 Van Hulle, Marc M. 2 Yazdanbakhsh, Omolbanin 2 Young, R. M. B. 1 Acernese, F. 1 Aguirre, Jacobo 1 Akın, Gülfem 1 Alexeeva, Tatyana Anatolyevna 1 Altimari, Pietro 1 Altuntas, Volkan 1 Aluru, Narayana R. 1 Anghel, Marian 1 Antúnez, E. Arias 1 Aono, Masashi 1 Ascoli, Alon 1 Asokan, K. 1 Ausloos, Marcel R. 1 Barone, Fabrizio 1 Barradas-Guevara, J. E. 1 Basu, Sukanta 1 Beaudoin, Armand J. 1 Beck, Christian 1 Beims, Marcus W. 1 Bergman, Lawrence A. 1 Beronov, Boyan 1 Betancourt-Mar, Juvencio Alberto 1 Bigdeli, Nooshin 1 Billings, Stephen A. 1 Bittelli, Marco 1 Blanchard, Antoine B. 1 Blomgren, Peter 1 Bonsel, J. H. 1 Bozhkov, Bozhan 1 Büyüklü, Ali H. 1 Cafagna, Donato 1 Campos-Cantón, Eric 1 Campos, Kilver 1 Canals, J. J. Miralles 1 Cao, Zhitong 1 Capobianco, Rodrigo Guido 1 Carrión, I. Marín 1 Castillo, Ernesto 1 Castillo, M. M. Artigao 1 Chen, Luonan 1 Chen, Mo 1 Chicón, R. 1 Choobkar, S. 1 Christopoulos, Stavros-Richard G. 1 Çoban, Gürsan 1 Cocho, Germinal 1 Constantinides, Anthony G. 1 Crescitelli, Silvestro 1 Cruchaga, Marcela A. 1 Csernák, Gábor ...and 276 more Authors all top 5 Cited in 54 Serials 20 Physica D 19 Chaos 17 Chaos, Solitons and Fractals 14 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Nonlinear Dynamics 7 Physica A 5 Physics Letters. A 4 Communications in Nonlinear Science and Numerical Simulation 3 Applied Mathematics and Computation 3 Signal Processing 3 Neural Computation 2 Journal of Fluid Mechanics 2 Physics Reports 2 Mathematics and Computers in Simulation 2 Journal of Physics A: Mathematical and General 2 Complexity 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Mathematical Geology 2 World Scientific Series on Nonlinear Science. Series A 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Nonlinearity 1 Journal of Mathematical Psychology 1 Meccanica 1 New Generation Computing 1 International Journal of Approximate Reasoning 1 Mathematical and Computer Modelling 1 International Journal of Adaptive Control and Signal Processing 1 Journal of Non-Newtonian Fluid Mechanics 1 Physics of Fluids 1 Complexity International 1 Proceedings of the Estonian Academy of Sciences. Physics, Mathematics 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 1 Studies in Nonlinear Dynamics and Econometrics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Network: Computation in Neural Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. B. Fluids 1 International Journal of Applied Mathematics and Computer Science 1 CEJOR. Central European Journal of Operations Research 1 International Journal of Modern Physics C 1 Multiscale Modeling & Simulation 1 Computer Networks 1 Journal of Physics A: Mathematical and Theoretical 1 Science China. Mathematics 1 Journal of Theoretical Biology 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Advances in Industrial Control all top 5 Cited in 26 Fields 93 Dynamical systems and ergodic theory (37-XX) 38 Biology and other natural sciences (92-XX) 35 Statistics (62-XX) 18 Ordinary differential equations (34-XX) 15 Information and communication theory, circuits (94-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Fluid mechanics (76-XX) 12 Computer science (68-XX) 12 Systems theory; control (93-XX) 9 Mechanics of particles and systems (70-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Mechanics of deformable solids (74-XX) 6 Geophysics (86-XX) 5 Numerical analysis (65-XX) 5 Optics, electromagnetic theory (78-XX) 4 Partial differential equations (35-XX) 3 Operations research, mathematical programming (90-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year