Borges, Vinícius S.; Eisencraft, Marcio A filtered Hénon map. (English) Zbl 1508.37112 Chaos Solitons Fractals 165, Part 2, Article ID 112865, 6 p. (2022). MSC: 37M25 37D45 65P20 PDFBibTeX XMLCite \textit{V. S. Borges} and \textit{M. Eisencraft}, Chaos Solitons Fractals 165, Part 2, Article ID 112865, 6 p. (2022; Zbl 1508.37112) Full Text: DOI arXiv
da Cunha, Rudnei D.; Oliveira, Elismar R. Making the computation of approximations of invariant measures and its attractors for IFS and GIFS, through the deterministic algorithm, tractable. (English) Zbl 1508.37113 Chaos Solitons Fractals 165, Part 2, Article ID 112844, 10 p. (2022). MSC: 37M25 65S05 28A80 PDFBibTeX XMLCite \textit{R. D. da Cunha} and \textit{E. R. Oliveira}, Chaos Solitons Fractals 165, Part 2, Article ID 112844, 10 p. (2022; Zbl 1508.37113) Full Text: DOI arXiv
Li, Yue; Yuan, Mingfeng; Chen, Zengqiang Multi-parameter analysis of transition from conservative to dissipative behaviors for a reversible dynamic system. (English) Zbl 1505.37099 Chaos Solitons Fractals 159, Article ID 112114, 6 p. (2022). MSC: 37M25 37M05 34C28 PDFBibTeX XMLCite \textit{Y. Li} et al., Chaos Solitons Fractals 159, Article ID 112114, 6 p. (2022; Zbl 1505.37099) Full Text: DOI
Daza, Alvar; Wagemakers, Alexandre; Sanjuán, Miguel A. F. Classifying basins of attraction using the basin entropy. (English) Zbl 1505.37011 Chaos Solitons Fractals 159, Article ID 112112, 7 p. (2022). MSC: 37A35 28A80 28A78 PDFBibTeX XMLCite \textit{A. Daza} et al., Chaos Solitons Fractals 159, Article ID 112112, 7 p. (2022; Zbl 1505.37011) Full Text: DOI arXiv
Wang, Wen-Ya; Chen, Hui-Qin; Guo, Zhong-Kai The points with dense orbit under the \(\beta\)-expansions of different bases. (English) Zbl 1498.11167 Chaos Solitons Fractals 146, Article ID 110840, 6 p. (2021). MSC: 11K55 28A80 37A44 PDFBibTeX XMLCite \textit{W.-Y. Wang} et al., Chaos Solitons Fractals 146, Article ID 110840, 6 p. (2021; Zbl 1498.11167) Full Text: DOI
Kaur, Rajinder Pal; Sharma, Amit; Sharma, Anuj Kumar Impact of fear effect on plankton-fish system dynamics incorporating zooplankton refuge. (English) Zbl 1498.92167 Chaos Solitons Fractals 143, Article ID 110563, 9 p. (2021). MSC: 92D25 37M25 34C11 34C23 34C60 34D20 92B05 92D40 PDFBibTeX XMLCite \textit{R. P. Kaur} et al., Chaos Solitons Fractals 143, Article ID 110563, 9 p. (2021; Zbl 1498.92167) Full Text: DOI
Spichak, David; Kupetsky, Audrey; Aragoneses, Andrés Characterizing complexity of non-invertible chaotic maps in the Shannon-Fisher information plane with ordinal patterns. (English) Zbl 1496.94020 Chaos Solitons Fractals 142, Article ID 110492, 8 p. (2021). MSC: 94A17 37D45 37A35 PDFBibTeX XMLCite \textit{D. Spichak} et al., Chaos Solitons Fractals 142, Article ID 110492, 8 p. (2021; Zbl 1496.94020) Full Text: DOI
Abdel-Rehim, E. A.; Hassan, R. M.; El-Sayed, A. M. A. On simulating the short and long memory of ergodic Markov and non-Markov genetic diffusion processes on the long run. (English) Zbl 1496.60028 Chaos Solitons Fractals 142, Article ID 110478, 16 p. (2021). MSC: 60G05 60G10 60H35 60J10 60J20 60J60 65M06 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim} et al., Chaos Solitons Fractals 142, Article ID 110478, 16 p. (2021; Zbl 1496.60028) Full Text: DOI
Li, Xuan; Ding, Ruiqiang; Li, Jianping Quantitative study of the relative effects of initial condition and model uncertainties on local predictability in a nonlinear dynamical system. (English) Zbl 1490.37104 Chaos Solitons Fractals 139, Article ID 110094, 11 p. (2020). MSC: 37M25 37M05 37D45 37N10 PDFBibTeX XMLCite \textit{X. Li} et al., Chaos Solitons Fractals 139, Article ID 110094, 11 p. (2020; Zbl 1490.37104) Full Text: DOI
He, Qian; Huang, Jingjing A method for analyzing correlation between multiscale and multivariate systems – multiscale multidimensional cross recurrence quantification (MMDCRQA). (English) Zbl 1490.37099 Chaos Solitons Fractals 139, Article ID 110066, 9 p. (2020). MSC: 37M05 37M25 37M10 91B84 PDFBibTeX XMLCite \textit{Q. He} and \textit{J. Huang}, Chaos Solitons Fractals 139, Article ID 110066, 9 p. (2020; Zbl 1490.37099) Full Text: DOI
Lepri, Stefano Chaotic fluctuations in graphs with amplification. (English) Zbl 1490.37052 Chaos Solitons Fractals 139, Article ID 110003, 6 p. (2020). MSC: 37E05 37M25 PDFBibTeX XMLCite \textit{S. Lepri}, Chaos Solitons Fractals 139, Article ID 110003, 6 p. (2020; Zbl 1490.37052) Full Text: DOI arXiv
Zhou, Shuang; Wang, Xingyuan Simple estimation method for the second-largest Lyapunov exponent of chaotic differential equations. (English) Zbl 1490.37106 Chaos Solitons Fractals 139, Article ID 109981, 18 p. (2020). MSC: 37M25 37D45 PDFBibTeX XMLCite \textit{S. Zhou} and \textit{X. Wang}, Chaos Solitons Fractals 139, Article ID 109981, 18 p. (2020; Zbl 1490.37106) Full Text: DOI
Lopes, S. R.; Prado, T. L.; Corso, G.; dos S. Lima, G. Z.; Kurths, J. Parameter-free quantification of stochastic and chaotic signals. (English) Zbl 1483.37097 Chaos Solitons Fractals 133, Article ID 109616, 5 p. (2020). MSC: 37M10 37M25 94A12 PDFBibTeX XMLCite \textit{S. R. Lopes} et al., Chaos Solitons Fractals 133, Article ID 109616, 5 p. (2020; Zbl 1483.37097) Full Text: DOI arXiv
Atangana, Abdon (ed.); Gomez Aguilar, Jose Francisco (ed.); Owolabi Kolade, Matthew (ed.); Hristov, Jordan Yankov (ed.) Editorial: Fractional differential and integral operators with non-singular and non-local kernel with application to nonlinear dynamical systems. (English) Zbl 1434.00041 Chaos Solitons Fractals 132, Article ID 109493, 1 p. (2020). MSC: 00B15 34-06 35-06 37-06 PDFBibTeX XMLCite \textit{A. Atangana} (ed.) et al., Chaos Solitons Fractals 132, Article ID 109493, 1 p. (2020; Zbl 1434.00041) Full Text: DOI
Eslami Giski, Zahra; Ebrahimzadeh, Abolfazl; Markechová, Dagmar Rényi entropy of fuzzy dynamical systems. (English) Zbl 1448.37005 Chaos Solitons Fractals 123, 244-253 (2019). MSC: 37A35 37A05 60A86 PDFBibTeX XMLCite \textit{Z. Eslami Giski} et al., Chaos Solitons Fractals 123, 244--253 (2019; Zbl 1448.37005) Full Text: DOI
Neunhäuserer, Jörg Fractal attractors induced by \(\beta\)-shifts. (English) Zbl 1448.37006 Chaos Solitons Fractals 123, 87-90 (2019). MSC: 37A44 37B10 28A80 28D20 PDFBibTeX XMLCite \textit{J. Neunhäuserer}, Chaos Solitons Fractals 123, 87--90 (2019; Zbl 1448.37006) Full Text: DOI arXiv
Kaboudian, Abouzar; Cherry, Elizabeth M.; Fenton, Flavio H. Large-scale interactive numerical experiments of chaos, solitons and fractals in real time via GPU in a web browser. (English) Zbl 1451.65246 Chaos Solitons Fractals 121, 6-29 (2019). MSC: 65Y10 37-04 37F10 37F46 65Y15 PDFBibTeX XMLCite \textit{A. Kaboudian} et al., Chaos Solitons Fractals 121, 6--29 (2019; Zbl 1451.65246) Full Text: DOI Link
Aguirre, J. (ed.); Almendral, J. A. (ed.); Buldú, J. M. (ed.); Criado, R. (ed.); Gutiérrez, R. (ed.); Leyva, I. (ed.); Romance, M. (ed.); Sendiña-Nadal, Irene (ed.) Editorial: Experimental complexity in physical, social and biological systems. (English) Zbl 1493.00013 Chaos Solitons Fractals 120, 200-202 (2019). MSC: 00B15 37-06 PDFBibTeX XMLCite \textit{J. Aguirre} (ed.) et al., Chaos Solitons Fractals 120, 200--202 (2019; Zbl 1493.00013) Full Text: DOI
Fortuna, Luigi (ed.); Buscarino, Arturo (ed.); Frasca, Mattia (ed.) Editorial: Imperfect dynamical systems. (English) Zbl 1442.00015 Chaos Solitons Fractals 117, 200 (2018). MSC: 00B15 37-06 93-06 PDFBibTeX XMLCite \textit{L. Fortuna} (ed.) et al., Chaos Solitons Fractals 117, 200 (2018; Zbl 1442.00015) Full Text: DOI
Fan, Ai-hua Topological Wiener-Wintner ergodic theorem with polynomial weights. (English) Zbl 1442.37011 Chaos Solitons Fractals 117, 105-116 (2018). MSC: 37A30 PDFBibTeX XMLCite \textit{A.-h. Fan}, Chaos Solitons Fractals 117, 105--116 (2018; Zbl 1442.37011) Full Text: DOI arXiv
Demers, Mark F. A gentle introduction to anisotropic Banach spaces. (English) Zbl 1442.37046 Chaos Solitons Fractals 116, 29-42 (2018). MSC: 37D20 47A10 37-02 PDFBibTeX XMLCite \textit{M. F. Demers}, Chaos Solitons Fractals 116, 29--42 (2018; Zbl 1442.37046) Full Text: DOI arXiv
Bonanno, Claudio; Giulietti, Paolo; Lenci, Marco Global-local mixing for the Boole map. (English) Zbl 1392.37002 Chaos Solitons Fractals 111, 55-61 (2018). MSC: 37A40 37A25 37D25 37C25 PDFBibTeX XMLCite \textit{C. Bonanno} et al., Chaos Solitons Fractals 111, 55--61 (2018; Zbl 1392.37002) Full Text: DOI arXiv
Lee, Manseob Zero topological entropy for \(C^1\) generic vector fields. (English) Zbl 1390.37011 Chaos Solitons Fractals 108, 104-106 (2018). MSC: 37A35 37C10 PDFBibTeX XMLCite \textit{M. Lee}, Chaos Solitons Fractals 108, 104--106 (2018; Zbl 1390.37011) Full Text: DOI
Dubarry, Blandine A class of iterated function systems with adapted piecewise constant transition probabilities: asymptotic stability and Hausdorff dimension of the invariant measure. (English) Zbl 1375.60115 Chaos Solitons Fractals 103, 602-612 (2017). MSC: 60J05 37B10 37A30 28A78 28A80 PDFBibTeX XMLCite \textit{B. Dubarry}, Chaos Solitons Fractals 103, 602--612 (2017; Zbl 1375.60115) Full Text: DOI
Deshpande, Amey S.; Daftardar-Gejji, Varsha On disappearance of chaos in fractional systems. (English) Zbl 1374.34309 Chaos Solitons Fractals 102, 119-126 (2017). MSC: 34K37 34K23 34K60 37D45 37M05 37-02 PDFBibTeX XMLCite \textit{A. S. Deshpande} and \textit{V. Daftardar-Gejji}, Chaos Solitons Fractals 102, 119--126 (2017; Zbl 1374.34309) Full Text: DOI
Oliveira, Elismar R. The ergodic theorem for a new kind of attractor of a GIFS. (English) Zbl 1372.37013 Chaos Solitons Fractals 98, 63-71 (2017). MSC: 37A30 PDFBibTeX XMLCite \textit{E. R. Oliveira}, Chaos Solitons Fractals 98, 63--71 (2017; Zbl 1372.37013) Full Text: DOI arXiv
Guirao, Juan L. G. (ed.); López, Miguel A. (ed.); Luo, Albert C. J. (ed.) Updating the state of the art of nonlinear dynamics and complexity. (English) Zbl 1360.00126 Chaos Solitons Fractals 89, 1 (2016). MSC: 00B25 37-06 PDFBibTeX XMLCite \textit{J. L. G. Guirao} (ed.) et al., Chaos Solitons Fractals 89, 1 (2016; Zbl 1360.00126) Full Text: DOI
Lenci, Marco A simple proof of the exactness of expanding maps of the interval with an indifferent fixed point. (English) Zbl 1355.37061 Chaos Solitons Fractals 82, 148-154 (2016). MSC: 37E05 37D25 37A40 37A25 PDFBibTeX XMLCite \textit{M. Lenci}, Chaos Solitons Fractals 82, 148--154 (2016; Zbl 1355.37061) Full Text: DOI arXiv
Maaroufi, Nadir Invariance and computation of the extended fractal dimension for the attractor of CGL on \(\mathbb R\). (English) Zbl 1355.37093 Chaos Solitons Fractals 82, 87-96 (2016). MSC: 37L30 35Q56 35B41 35R15 47A35 PDFBibTeX XMLCite \textit{N. Maaroufi}, Chaos Solitons Fractals 82, 87--96 (2016; Zbl 1355.37093) Full Text: DOI
Tang, Ling; Lv, Huiling; Yang, Fengmei; Yu, Lean Complexity testing techniques for time series data: a comprehensive literature review. (English) Zbl 1355.37098 Chaos Solitons Fractals 81, Part A, 117-135 (2015). MSC: 37M10 37-02 37-03 94A17 01A65 01A67 PDFBibTeX XMLCite \textit{L. Tang} et al., Chaos Solitons Fractals 81, Part A, 117--135 (2015; Zbl 1355.37098) Full Text: DOI
Godó, B.; Nagy, Á. Detecting regular and chaotic behaviour in the parameter space by generalised statistical complexity measures. (English) Zbl 1353.37040 Chaos Solitons Fractals 78, 26-32 (2015). MSC: 37C05 39A33 37A35 94A17 PDFBibTeX XMLCite \textit{B. Godó} and \textit{Á. Nagy}, Chaos Solitons Fractals 78, 26--32 (2015; Zbl 1353.37040) Full Text: DOI
Caravelli, Francesco Ranking nodes according to their path-complexity. (English) Zbl 1352.60104 Chaos Solitons Fractals 73, 90-97 (2015). MSC: 60J10 37A50 37A35 37M05 PDFBibTeX XMLCite \textit{F. Caravelli}, Chaos Solitons Fractals 73, 90--97 (2015; Zbl 1352.60104) Full Text: DOI arXiv
Gomez, Ignacio; Castagnino, Mario A quantum version of spectral decomposition theorem of dynamical systems, quantum chaos hierarchy: ergodic, mixing and exact. (English) Zbl 1351.37025 Chaos Solitons Fractals 70, 99-116 (2015). MSC: 37A30 37A50 81Q10 PDFBibTeX XMLCite \textit{I. Gomez} and \textit{M. Castagnino}, Chaos Solitons Fractals 70, 99--116 (2015; Zbl 1351.37025) Full Text: DOI arXiv
Li, Xuan; Liu, Xianbin The moment Lyapunov exponent for a three-dimensional stochastic system. (English) Zbl 1354.37035 Chaos Solitons Fractals 68, 40-47 (2014). MSC: 37C75 37H10 60J25 PDFBibTeX XMLCite \textit{X. Li} and \textit{X. Liu}, Chaos Solitons Fractals 68, 40--47 (2014; Zbl 1354.37035) Full Text: DOI
Peng, Li On the hitting depth in the dynamical system of continued fractions. (English) Zbl 1351.37023 Chaos Solitons Fractals 69, 22-30 (2014). MSC: 37A25 37A45 37B10 PDFBibTeX XMLCite \textit{L. Peng}, Chaos Solitons Fractals 69, 22--30 (2014; Zbl 1351.37023) Full Text: DOI
Khelifi, Mounir A dimension associated with a cutting of the square of a Gibbs measure. (English) Zbl 1348.37002 Chaos Solitons Fractals 65, 1-4 (2014). MSC: 37A05 37A35 PDFBibTeX XMLCite \textit{M. Khelifi}, Chaos Solitons Fractals 65, 1--4 (2014; Zbl 1348.37002) Full Text: DOI
Barbosa, Peterson T. C.; Saa, Alberto Chaotic oscillations in singularly perturbed FitzHugh-Nagumo systems. (English) Zbl 1348.92031 Chaos Solitons Fractals 59, 28-34 (2014). MSC: 92C20 34D09 37M25 PDFBibTeX XMLCite \textit{P. T. C. Barbosa} and \textit{A. Saa}, Chaos Solitons Fractals 59, 28--34 (2014; Zbl 1348.92031) Full Text: DOI arXiv
Cheng, Wen-Chiao; Li, Bing Topological pressure dimension. (English) Zbl 1339.37006 Chaos Solitons Fractals 53, 10-17 (2013). MSC: 37A35 PDFBibTeX XMLCite \textit{W.-C. Cheng} and \textit{B. Li}, Chaos Solitons Fractals 53, 10--17 (2013; Zbl 1339.37006) Full Text: DOI
Maus, A.; Sprott, J. C. Evaluating Lyapunov exponent spectra with neural networks. (English) Zbl 1294.37031 Chaos Solitons Fractals 51, 13-21 (2013). MSC: 37M25 37C45 PDFBibTeX XMLCite \textit{A. Maus} and \textit{J. C. Sprott}, Chaos Solitons Fractals 51, 13--21 (2013; Zbl 1294.37031) Full Text: DOI
Jaroszewska, Joanna A note on iterated function systems with discontinuous probabilities. (English) Zbl 1287.37033 Chaos Solitons Fractals 49, 28-31 (2013). MSC: 37H99 37C40 37E05 PDFBibTeX XMLCite \textit{J. Jaroszewska}, Chaos Solitons Fractals 49, 28--31 (2013; Zbl 1287.37033) Full Text: DOI
Galatolo, Stefano; Hoyrup, Mathieu; Rojas, Cristóbal Statistical properties of dynamical systems – Simulation and abstract computation. (English) Zbl 1293.37001 Chaos Solitons Fractals 45, No. 1, 1-14 (2012). MSC: 37-02 37C50 37F50 37A50 03D45 03D78 PDFBibTeX XMLCite \textit{S. Galatolo} et al., Chaos Solitons Fractals 45, No. 1, 1--14 (2012; Zbl 1293.37001) Full Text: Link
Downarowicz, T.; Štefánková, M. Embedding Toeplitz systems in triangular maps: the last but one problem of the Sharkovsky classification program. (English) Zbl 1258.37007 Chaos Solitons Fractals 45, No. 12, 1566-1572 (2012). MSC: 37A35 28A33 37E05 PDFBibTeX XMLCite \textit{T. Downarowicz} and \textit{M. Štefánková}, Chaos Solitons Fractals 45, No. 12, 1566--1572 (2012; Zbl 1258.37007) Full Text: DOI
Chen, Xiao-Peng; Wu, Li-Yan; Ye, Yuan-Ling Ruelle operator for infinite conformal iterated function systems. (English) Zbl 1258.37024 Chaos Solitons Fractals 45, No. 12, 1521-1530 (2012). MSC: 37C30 37C40 37C45 PDFBibTeX XMLCite \textit{X.-P. Chen} et al., Chaos Solitons Fractals 45, No. 12, 1521--1530 (2012; Zbl 1258.37024) Full Text: DOI
Isola, Stefano From infinite ergodic theory to number theory (and possibly back). (English) Zbl 1230.37014 Chaos Solitons Fractals 44, No. 7, 467-479 (2011). Reviewer: Christoph Aistleitner (Graz) MSC: 37A45 37A40 11Z05 PDFBibTeX XMLCite \textit{S. Isola}, Chaos Solitons Fractals 44, No. 7, 467--479 (2011; Zbl 1230.37014) Full Text: DOI
Chen, Ning; Sun, Jing; Sun, Yan-Ling; Tang, Ming Visualizing the complex dynamics of families of polynomials with symmetric critical points. (English) Zbl 1198.37005 Chaos Solitons Fractals 42, No. 3, 1611-1622 (2009). MSC: 37-04 37F10 68U10 PDFBibTeX XMLCite \textit{N. Chen} et al., Chaos Solitons Fractals 42, No. 3, 1611--1622 (2009; Zbl 1198.37005) Full Text: DOI
Goh, S. M.; Noorani, M. S. M.; Hashim, I. A new application of variational iteration method for the chaotic Rössler system. (English) Zbl 1198.65141 Chaos Solitons Fractals 42, No. 3, 1604-1610 (2009). MSC: 65L99 37D45 37-04 PDFBibTeX XMLCite \textit{S. M. Goh} et al., Chaos Solitons Fractals 42, No. 3, 1604--1610 (2009; Zbl 1198.65141) Full Text: DOI
MacKernan, Dónal; Basios, Vasileios Local and global statistical dynamical properties of chaotic Markov analytic maps and repellers: a coarse grained and spectral perspective. (English) Zbl 1198.37052 Chaos Solitons Fractals 42, No. 1, 291-302 (2009). MSC: 37D45 37A99 37C30 37E05 PDFBibTeX XMLCite \textit{D. MacKernan} and \textit{V. Basios}, Chaos Solitons Fractals 42, No. 1, 291--302 (2009; Zbl 1198.37052) Full Text: DOI
Mesón, Alejandro; Vericat, Fernando Simultaneous multifractal decompositions for the spectra of local entropies and ergodic averages. (English) Zbl 1198.37015 Chaos Solitons Fractals 40, No. 5, 2353-2363 (2009). MSC: 37A35 28A78 28A80 28D20 37C45 37D35 PDFBibTeX XMLCite \textit{A. Mesón} and \textit{F. Vericat}, Chaos Solitons Fractals 40, No. 5, 2353--2363 (2009; Zbl 1198.37015) Full Text: DOI
Olsen, L. Frequencies of digits, divergence points, and Schmidt games. (English) Zbl 1198.37017 Chaos Solitons Fractals 40, No. 5, 2222-2232 (2009). MSC: 37A45 37C45 28A99 11A63 91A80 PDFBibTeX XMLCite \textit{L. Olsen}, Chaos Solitons Fractals 40, No. 5, 2222--2232 (2009; Zbl 1198.37017) Full Text: DOI
Sun, Yeong-Jeu Exponential synchronization between two classes of chaotic systems. (English) Zbl 1197.37007 Chaos Solitons Fractals 39, No. 5, 2363-2368 (2009). MSC: 37-04 37D45 PDFBibTeX XMLCite \textit{Y.-J. Sun}, Chaos Solitons Fractals 39, No. 5, 2363--2368 (2009; Zbl 1197.37007) Full Text: DOI
Zhang, Jixiang; Da, Qingli; Wang, Yanhua The dynamics of Bertrand model with bounded rationality. (English) Zbl 1197.91142 Chaos Solitons Fractals 39, No. 5, 2048-2055 (2009). MSC: 91B54 37N40 91B62 37A99 91A26 PDFBibTeX XMLCite \textit{J. Zhang} et al., Chaos Solitons Fractals 39, No. 5, 2048--2055 (2009; Zbl 1197.91142) Full Text: DOI
Palaniyandi, P. On computing Poincaré map by Hénon method. (English) Zbl 1197.37006 Chaos Solitons Fractals 39, No. 4, 1877-1882 (2009). MSC: 37-04 37D45 PDFBibTeX XMLCite \textit{P. Palaniyandi}, Chaos Solitons Fractals 39, No. 4, 1877--1882 (2009; Zbl 1197.37006) Full Text: DOI
Chen, Juhn-Horng; Chen, Hsien-Keng; Lin, Yu-Kai Synchronization and anti-synchronization coexist in Chen-Lee chaotic systems. (English) Zbl 1197.37003 Chaos Solitons Fractals 39, No. 2, 707-716 (2009). MSC: 37-04 37D45 PDFBibTeX XMLCite \textit{J.-H. Chen} et al., Chaos Solitons Fractals 39, No. 2, 707--716 (2009; Zbl 1197.37003) Full Text: DOI
Erjaee, G. H. Numerical stability of chaotic synchronization using a nonlinear coupling function. (English) Zbl 1197.37004 Chaos Solitons Fractals 39, No. 2, 682-688 (2009). MSC: 37-04 37D45 PDFBibTeX XMLCite \textit{G. H. Erjaee}, Chaos Solitons Fractals 39, No. 2, 682--688 (2009; Zbl 1197.37004) Full Text: DOI
Njah, A. N.; Vincent, U. E. Chaos synchronization between single and double wells Duffing-Van der Pol oscillators using active control. (English) Zbl 1142.93350 Chaos Solitons Fractals 37, No. 5, 1356-1361 (2008). MSC: 93C15 37M25 70K99 PDFBibTeX XMLCite \textit{A. N. Njah} and \textit{U. E. Vincent}, Chaos Solitons Fractals 37, No. 5, 1356--1361 (2008; Zbl 1142.93350) Full Text: DOI
Rogers, Alan; Shorten, Robert; Heffernan, Daniel M. A novel matrix approach for controlling the invariant densities of chaotic maps. (English) Zbl 1142.37030 Chaos Solitons Fractals 35, No. 1, 161-175 (2008). MSC: 37D45 37A05 37E05 37H15 37M25 PDFBibTeX XMLCite \textit{A. Rogers} et al., Chaos Solitons Fractals 35, No. 1, 161--175 (2008; Zbl 1142.37030) Full Text: DOI Link
Cerbelli, S.; Giona, M. Characterization of nonuniform chaos in area-preserving nonlinear maps through a continuous archetype. (English) Zbl 1142.37008 Chaos Solitons Fractals 35, No. 1, 13-37 (2008). MSC: 37A25 37E30 37B40 37D25 37C40 37D45 37J10 81Q50 PDFBibTeX XMLCite \textit{S. Cerbelli} and \textit{M. Giona}, Chaos Solitons Fractals 35, No. 1, 13--37 (2008; Zbl 1142.37008) Full Text: DOI
Malziri, M.; Molaei, M. R. An extension of the notion of topological entropy. (English) Zbl 1134.37007 Chaos Solitons Fractals 36, No. 2, 370-373 (2008). MSC: 37B40 37A35 PDFBibTeX XMLCite \textit{M. Malziri} and \textit{M. R. Molaei}, Chaos Solitons Fractals 36, No. 2, 370--373 (2008; Zbl 1134.37007) Full Text: DOI
Yan, Zhenzhen; Chen, Ercai Multifractal analysis of local entropies for recurrence time. (English) Zbl 1133.37307 Chaos Solitons Fractals 33, No. 5, 1584-1591 (2007). MSC: 37C45 37A35 28A80 PDFBibTeX XMLCite \textit{Z. Yan} and \textit{E. Chen}, Chaos Solitons Fractals 33, No. 5, 1584--1591 (2007; Zbl 1133.37307) Full Text: DOI
Noorani, M. S. M.; Hashim, I.; Ahmad, R.; Bakar, S. A.; Ismail, E. S.; Zakaria, A. M. Comparing numerical methods for the solutions of the Chen system. (English) Zbl 1131.65101 Chaos Solitons Fractals 32, No. 4, 1296-1304 (2007). MSC: 65P20 37D45 37M25 37M05 PDFBibTeX XMLCite \textit{M. S. M. Noorani} et al., Chaos Solitons Fractals 32, No. 4, 1296--1304 (2007; Zbl 1131.65101) Full Text: DOI
Chen, Ning; Meng, Fan Yu Critical points and dynamic systems with planar hexagonal symmetry. (English) Zbl 1129.37025 Chaos Solitons Fractals 32, No. 3, 1027-1037 (2007). MSC: 37F10 37D45 37F50 37M25 PDFBibTeX XMLCite \textit{N. Chen} and \textit{F. Y. Meng}, Chaos Solitons Fractals 32, No. 3, 1027--1037 (2007; Zbl 1129.37025) Full Text: DOI
Stachowiak, Tomasz; Okada, Toshio A numerical analysis of chaos in the double pendulum. (English) Zbl 1096.65127 Chaos Solitons Fractals 29, No. 2, 417-422 (2006). MSC: 65P20 70E55 65P30 37M20 37M25 PDFBibTeX XMLCite \textit{T. Stachowiak} and \textit{T. Okada}, Chaos Solitons Fractals 29, No. 2, 417--422 (2006; Zbl 1096.65127) Full Text: DOI HAL
Ngamga Ketchamen, E. J.; Nana, L.; Kofane, T. C. Strange nonchaotic attractors in a fifth-order amplitude equation of Rayleigh–Bénard system near the codimension-two point. (English) Zbl 1106.37051 Chaos Solitons Fractals 28, No. 5, 1139-1148 (2006). MSC: 37M25 76E06 37C70 37J10 37N10 PDFBibTeX XMLCite \textit{E. J. Ngamga Ketchamen} et al., Chaos Solitons Fractals 28, No. 5, 1139--1148 (2006; Zbl 1106.37051) Full Text: DOI
Letellier, Christophe; Roulin, Elise; Rössler, Otto E. Inequivalent topologies of chaos in simple equations. (English) Zbl 1084.34048 Chaos Solitons Fractals 28, No. 2, 337-360 (2006). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C28 37D45 37C70 34-02 37-02 PDFBibTeX XMLCite \textit{C. Letellier} et al., Chaos Solitons Fractals 28, No. 2, 337--360 (2006; Zbl 1084.34048) Full Text: DOI
Frigg, Roman Chaos and randomness: An equivalence proof of a generalized version of the Shannon entropy and the Kolmogorov-Sinai entropy for Hamiltonian dynamical systems. (English) Zbl 1083.37005 Chaos Solitons Fractals 28, No. 1, 26-31 (2006). MSC: 37A35 37J99 94A05 94A15 94A17 37D45 37H99 PDFBibTeX XMLCite \textit{R. Frigg}, Chaos Solitons Fractals 28, No. 1, 26--31 (2006; Zbl 1083.37005) Full Text: DOI
Lu, Jun Guo Chaotic dynamics and synchronization of fractional-order Arneodo’s systems. (English) Zbl 1074.65146 Chaos Solitons Fractals 26, No. 4, 1125-1133 (2005). MSC: 65P20 37D45 37M25 PDFBibTeX XMLCite \textit{J. G. Lu}, Chaos Solitons Fractals 26, No. 4, 1125--1133 (2005; Zbl 1074.65146) Full Text: DOI
Marotto, F. R. On redefining a snap-back repeller. (English) Zbl 1077.37027 Chaos Solitons Fractals 25, No. 1, 25-28 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37D45 37C40 PDFBibTeX XMLCite \textit{F. R. Marotto}, Chaos Solitons Fractals 25, No. 1, 25--28 (2005; Zbl 1077.37027) Full Text: DOI
Huang, Weihong On complete chaotic maps with tent-map-like structures. (English) Zbl 1064.37029 Chaos Solitons Fractals 24, No. 1, 287-299 (2005). MSC: 37E05 37D45 37C40 PDFBibTeX XMLCite \textit{W. Huang}, Chaos Solitons Fractals 24, No. 1, 287--299 (2005; Zbl 1064.37029) Full Text: DOI
Lu, Jia; Yang, Guolai; Oh, Hyounkyun; Luo, Albert C. J. Computing Lyapunov exponents of continuous dynamical systems: Method of Lyapunov vectors. (English) Zbl 1074.37039 Chaos Solitons Fractals 23, No. 5, 1879-1892 (2005). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37M25 34D08 65P99 PDFBibTeX XMLCite \textit{J. Lu} et al., Chaos Solitons Fractals 23, No. 5, 1879--1892 (2005; Zbl 1074.37039) Full Text: DOI
Buric, Nikola; Rampioni, Aldo; Turchetti, Giorgio Statistics of Poincaré recurrences for a class of smooth circle maps. (English) Zbl 1084.37032 Chaos Solitons Fractals 23, No. 5, 1829-1840 (2005). Reviewer: Oscar Bandtlow (Nottingham) MSC: 37E10 37M25 37B20 37E45 PDFBibTeX XMLCite \textit{N. Buric} et al., Chaos Solitons Fractals 23, No. 5, 1829--1840 (2005; Zbl 1084.37032) Full Text: DOI arXiv
Grond, Florian; Diebner, Hans H. Local Lyapunov exponents for dissipative continuous systems. (English) Zbl 1088.37517 Chaos Solitons Fractals 23, No. 5, 1809-1817 (2005). MSC: 37M25 37D45 PDFBibTeX XMLCite \textit{F. Grond} and \textit{H. H. Diebner}, Chaos Solitons Fractals 23, No. 5, 1809--1817 (2005; Zbl 1088.37517) Full Text: DOI
Ketchamen, E. J. Ngamga; Nana, L.; Kofane, T. C. Strange nonchaotic attractors in the externally modulated Rayleigh-Bénard system. (English) Zbl 1051.37014 Chaos Solitons Fractals 20, No. 5, 1141-1148 (2004). MSC: 37D45 76E06 37M25 PDFBibTeX XMLCite \textit{E. J. N. Ketchamen} et al., Chaos Solitons Fractals 20, No. 5, 1141--1148 (2004; Zbl 1051.37014) Full Text: DOI
Bonanno, Claudio; Mega, Mirko S. Toward a dynamical model for prime numbers. (English) Zbl 1122.11310 Chaos Solitons Fractals 20, No. 1, 107-118 (2004). MSC: 11N05 37A45 82C99 PDFBibTeX XMLCite \textit{C. Bonanno} and \textit{M. S. Mega}, Chaos Solitons Fractals 20, No. 1, 107--118 (2004; Zbl 1122.11310) Full Text: DOI arXiv
Bigerelle, M.; Iost, A. Multiscale measures of equilibrium on finite dynamic systems. (English) Zbl 1075.37530 Chaos Solitons Fractals 19, No. 5, 1313-1322 (2004). MSC: 37M05 28A80 37C40 PDFBibTeX XMLCite \textit{M. Bigerelle} and \textit{A. Iost}, Chaos Solitons Fractals 19, No. 5, 1313--1322 (2004; Zbl 1075.37530) Full Text: DOI
Mesón, Alejandro M.; Vericat, Fernando Variational analysis for the multifractal spectra of local entropies and Lyapunov exponents. (English) Zbl 1107.37021 Chaos Solitons Fractals 19, No. 5, 1031-1038 (2004). MSC: 37C45 37A35 37B40 37D35 37D45 PDFBibTeX XMLCite \textit{A. M. Mesón} and \textit{F. Vericat}, Chaos Solitons Fractals 19, No. 5, 1031--1038 (2004; Zbl 1107.37021) Full Text: DOI
Awrejcewicz, J.; Dzyubak, L.; Grebogi, C. A direct numerical method for quantifying regular and chaotic orbits. (English) Zbl 1086.37044 Chaos Solitons Fractals 19, No. 3, 503-507 (2004). MSC: 37M25 37C27 37D45 37N05 PDFBibTeX XMLCite \textit{J. Awrejcewicz} et al., Chaos Solitons Fractals 19, No. 3, 503--507 (2004; Zbl 1086.37044) Full Text: DOI
El Naschie, M. S. The VAK of vacuum fluctuation: Spontaneous self-organization and complexity theory interpretation of high energy particle physics and the mass spectrum. (English) Zbl 1056.81045 Chaos Solitons Fractals 18, No. 2, 401-420 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 81R99 37F35 37-XX PDFBibTeX XMLCite \textit{M. S. El Naschie}, Chaos Solitons Fractals 18, No. 2, 401--420 (2003; Zbl 1056.81045) Full Text: DOI
Antoniou, I.; Shkarin, S. A. Resonances and time operator for the cusp map. (English) Zbl 1032.37021 Chaos Solitons Fractals 17, No. 2-3, 445-448 (2003). MSC: 37E05 37A30 37C30 PDFBibTeX XMLCite \textit{I. Antoniou} and \textit{S. A. Shkarin}, Chaos Solitons Fractals 17, No. 2--3, 445--448 (2003; Zbl 1032.37021) Full Text: DOI
Suchanecki, Z.; Antoniou, I. Time operators, innovations and approximations. (English) Zbl 1098.37509 Chaos Solitons Fractals 17, No. 2-3, 337-342 (2003). MSC: 37C30 47D06 37E05 37A30 42A10 82C03 PDFBibTeX XMLCite \textit{Z. Suchanecki} and \textit{I. Antoniou}, Chaos Solitons Fractals 17, No. 2--3, 337--342 (2003; Zbl 1098.37509) Full Text: DOI
Rogers, Alan; Keating, John G.; Shorten, Robert; Heffernan, Daniel M. Chaotic maps and pattern recognition—the XOR problem. (English) Zbl 1002.68152 Chaos Solitons Fractals 14, No. 1, 57-70 (2002). MSC: 68T10 68W05 37A99 37N99 PDFBibTeX XMLCite \textit{A. Rogers} et al., Chaos Solitons Fractals 14, No. 1, 57--70 (2002; Zbl 1002.68152) Full Text: DOI
Richter, Hendrik; Stein, Günter On Taylor series expansion for chaotic nonlinear systems. (English) Zbl 0999.65145 Chaos Solitons Fractals 13, No. 9, 1783-1789 (2002). MSC: 65P20 37D25 37D45 37M25 PDFBibTeX XMLCite \textit{H. Richter} and \textit{G. Stein}, Chaos Solitons Fractals 13, No. 9, 1783--1789 (2002; Zbl 0999.65145) Full Text: DOI
Baranger, M.; Latora, V.; Rapisarda, A. Time evolution of thermodynamic entropy for conservative and dissipative chaotic maps. (English) Zbl 1023.37046 Chaos Solitons Fractals 13, No. 3, 471-478 (2002). Reviewer: Arkadi Berezovski (Tallinn) MSC: 37N20 37A35 37D45 82C05 PDFBibTeX XMLCite \textit{M. Baranger} et al., Chaos Solitons Fractals 13, No. 3, 471--478 (2002; Zbl 1023.37046) Full Text: DOI arXiv
Argenti, Fiorella; Benci, Vieri; Cerrai, Paola; Cordelli, Alessandro; Galatolo, Stefano; Menconi, Giulia Information and dynamical systems: A concrete measurement on sporadic dynamics. (English) Zbl 1001.37013 Chaos Solitons Fractals 13, No. 3, 461-469 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 37B99 94A17 37A35 PDFBibTeX XMLCite \textit{F. Argenti} et al., Chaos Solitons Fractals 13, No. 3, 461--469 (2002; Zbl 1001.37013) Full Text: DOI
Antoniou, I. The time operator of the cusp map. (English) Zbl 1035.37003 Chaos Solitons Fractals 12, No. 9, 1619-1627 (2001). Reviewer: Idris Assani (Chapel Hill) MSC: 37A30 37E05 PDFBibTeX XMLCite \textit{I. Antoniou}, Chaos Solitons Fractals 12, No. 9, 1619--1627 (2001; Zbl 1035.37003) Full Text: DOI
Park, Yung Spectrum sensitivity in a chaotic quantum system. (English) Zbl 1006.81025 Chaos Solitons Fractals 12, No. 12, 2161-2170 (2001). MSC: 81Q50 81Q10 PDFBibTeX XMLCite \textit{Y. Park}, Chaos Solitons Fractals 12, No. 12, 2161--2170 (2001; Zbl 1006.81025) Full Text: DOI
Cao, Q.; Xu, L.; Djidjeli, K.; Price, W. G.; Twizell, E. H. Analysis of period-doubling and chaos of a non-symmetric oscillator with piecewise-linearity. (English) Zbl 0984.65134 Chaos Solitons Fractals 12, No. 10, 1917-1927 (2001). MSC: 65P20 37D45 65P30 37M20 37M25 PDFBibTeX XMLCite \textit{Q. Cao} et al., Chaos Solitons Fractals 12, No. 10, 1917--1927 (2001; Zbl 0984.65134) Full Text: DOI
Rai, Vikas (ed.); Schaffer, W. M. (ed.) Special issue: Chaos in ecology. (English) Zbl 0973.00028 Chaos Solitons Fractals 12, No. 2, 197-428 (2001). MSC: 00B15 92-06 37-06 92D40 37D45 PDFBibTeX XMLCite \textit{V. Rai} (ed.) and \textit{W. M. Schaffer} (ed.), Chaos Solitons Fractals 12, No. 2, 197--428 (2001; Zbl 0973.00028) Full Text: DOI
Mercik, Szymon; Weron, Karina Application of the internal time operators for the Renyi map. (English) Zbl 1115.37302 Chaos Solitons Fractals 11, No. 1-3, 437-442 (2000). MSC: 37A30 37E05 37A05 PDFBibTeX XMLCite \textit{S. Mercik} and \textit{K. Weron}, Chaos Solitons Fractals 11, No. 1--3, 437--442 (2000; Zbl 1115.37302) Full Text: DOI
Antoniou, I.; Suchanecki, Z. Non-uniform time operator, chaos and wavelets on the interval. (English) Zbl 1160.37306 Chaos Solitons Fractals 11, No. 1-3, 423-435 (2000). MSC: 37A30 37A60 42C40 47A35 47B38 82C05 PDFBibTeX XMLCite \textit{I. Antoniou} and \textit{Z. Suchanecki}, Chaos Solitons Fractals 11, No. 1--3, 423--435 (2000; Zbl 1160.37306) Full Text: DOI
Antoniou, I.; Melnikov, Yu.; Shkarin, S.; Suchanecki, Z. Extended spectral decompositions of the Rényi map. (English) Zbl 1160.37305 Chaos Solitons Fractals 11, No. 1-3, 393-421 (2000). MSC: 37A30 37C30 37D45 47A10 47A35 47A70 47B38 PDFBibTeX XMLCite \textit{I. Antoniou} et al., Chaos Solitons Fractals 11, No. 1--3, 393--421 (2000; Zbl 1160.37305) Full Text: DOI
Karanikas, C. The Hausdorff dimension of very weak self-similar fractals described by the Haar wavelet system. (English) Zbl 1122.28300 Chaos Solitons Fractals 11, No. 1-3, 275-280 (2000). MSC: 28A80 28A78 37A35 42C40 PDFBibTeX XMLCite \textit{C. Karanikas}, Chaos Solitons Fractals 11, No. 1--3, 275--280 (2000; Zbl 1122.28300) Full Text: DOI
Aizawa, Y. Comments on the non-stationary chaos. (English) Zbl 1160.37313 Chaos Solitons Fractals 11, No. 1-3, 263-268 (2000). MSC: 37A99 37C99 PDFBibTeX XMLCite \textit{Y. Aizawa}, Chaos Solitons Fractals 11, No. 1--3, 263--268 (2000; Zbl 1160.37313) Full Text: DOI
Żebrowski, J. J.; Popławska, W.; Baranowski, R.; Buchner, T. Symbolic dynamics and complexity in a physiological time series. (English) Zbl 0962.37040 Chaos Solitons Fractals 11, No. 7, 1061-1075 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37M10 92C30 37N25 37B10 37A35 PDFBibTeX XMLCite \textit{J. J. Żebrowski} et al., Chaos Solitons Fractals 11, No. 7, 1061--1075 (2000; Zbl 0962.37040) Full Text: DOI
Inoue, Kei; Ohya, Masanori; Sato, Keiko Application of chaos degree to some dynamical systems. (English) Zbl 0960.37009 Chaos Solitons Fractals 11, No. 9, 1377-1385 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37D45 37M25 PDFBibTeX XMLCite \textit{K. Inoue} et al., Chaos Solitons Fractals 11, No. 9, 1377--1385 (2000; Zbl 0960.37009) Full Text: DOI arXiv
Wilkie, Joshua; Pattanayak, Arjendu K.; Brumer, Paul Comments on: ”Generalized spectral decomposition and intrinsic irreversibility of the Arnold cat map” by I. Antoniou et al.. (English) Zbl 1121.37312 Chaos Solitons Fractals 11, No. 9, 1473-1474 (2000). MSC: 37D45 37A30 PDFBibTeX XMLCite \textit{J. Wilkie} et al., Chaos Solitons Fractals 11, No. 9, 1473--1474 (2000; Zbl 1121.37312) Full Text: DOI
Antoniou, I.; Suchanecki, Z. Author reply to: ”Comments on: ‘Generalized spectral decomposition and intrinsic irreversibility of the Arnold cat map’ ”. (English) Zbl 1121.37310 Chaos Solitons Fractals 11, No. 9, 1475-1477 (2000). MSC: 37D45 37A30 PDFBibTeX XMLCite \textit{I. Antoniou} and \textit{Z. Suchanecki}, Chaos Solitons Fractals 11, No. 9, 1475--1477 (2000; Zbl 1121.37310) Full Text: DOI
Gutiérrez, J. M.; Rodríguez, M. A. A new exact method for obtaining the multifractal spectrum of multiscaled multinomial measures and IFS invariant measures. (English) Zbl 0958.28006 Chaos Solitons Fractals 11, No. 5, 675-683 (2000). MSC: 28A80 37C40 PDFBibTeX XMLCite \textit{J. M. Gutiérrez} and \textit{M. A. Rodríguez}, Chaos Solitons Fractals 11, No. 5, 675--683 (2000; Zbl 0958.28006) Full Text: DOI
Tiebel, R. Stretching rates in discrete dynamical systems. (English) Zbl 0963.37080 Chaos Solitons Fractals 11, No. 5, 799-806 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37M25 37D45 PDFBibTeX XMLCite \textit{R. Tiebel}, Chaos Solitons Fractals 11, No. 5, 799--806 (2000; Zbl 0963.37080) Full Text: DOI
Antoniou, I.; Prigogine, I.; Sadovnichii, V.; Shkarin, S. A. Time operator for diffusion. (English) Zbl 1094.82509 Chaos Solitons Fractals 11, No. 4, 465-477 (2000). MSC: 82C99 37A99 47D99 PDFBibTeX XMLCite \textit{I. Antoniou} et al., Chaos Solitons Fractals 11, No. 4, 465--477 (2000; Zbl 1094.82509) Full Text: DOI
Shang, Pengjian Is the Hausdorff dimension of a set and its image equal under binary coding map? (English) Zbl 0955.28003 Chaos Solitons Fractals 11, No. 7, 1093-1096 (2000). Reviewer: Yimin Xiao (East Lansing) MSC: 28A78 37A99 28A80 PDFBibTeX XMLCite \textit{P. Shang}, Chaos Solitons Fractals 11, No. 7, 1093--1096 (2000; Zbl 0955.28003) Full Text: DOI