Fractional Order Chaotic Systems swMATH ID: 40347 Software Authors: Ivo Petras Description: Fractional Order Chaotic Systems: This toolbox contains the functions which can be used to simulate some of the well-known fractional order chaotic system: Ivo Petras, Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation, Springer, Series: Nonlinear Physical Science, 2011, ISBN 978-3-642-18100-9. Homepage: https://de.mathworks.com/matlabcentral/fileexchange/27336-fractional-order-chaotic-systems Dependencies: Matlab Related Software: Sprott's Software; Matlab; CRONE; ma2dfc; FODE; FracPECE; Ninteger; Simulink; FOTF Toolbox; DFOC; sysdfod; FDE12; JADE; RODAS; TRENTOOL; FOC; TISEAN; Multisim; System Identification Toolbox; MTT Cited in: 158 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Fractional-order nonlinear systems. Modeling, analysis and simulation. Zbl 1228.34002Petráš, Ivo 2011 all top 5 Cited by 363 Authors 11 Machado, José António Tenreiro 6 Čermák, Jan 5 Petras, Ivo 4 Azar, Ahmad Taher 4 Balthazar, José Manoel 4 Jahanshahi, Hadi 4 Ouannas, Adel 4 Tusset, Angelo Marcelo 4 Zeng, Caibin 4 Ziar, Toufik 3 Aghababa, Mohammad Pourmahmood 3 Galhano, Alexandra M. S. F. 3 Kisela, Tomáš 3 Leung, Andrew Yee-Tak 3 Liu, Heng 3 Liu, Shutang 3 Nechvátal, Luděk 3 Qureshi, Sania 3 Rocha, Rodrigo Tumolin 3 Vaidyanathan, Sundarapandian 3 Wang, Yupin 3 Yousefpour, Amin 2 Aguirre, Luis Antonio 2 Alsaadi, Fawaz E. 2 Anague Tabejieu, L. M. 2 Bauer, Waldemar 2 Bekiros, Stelios D. 2 Bettayeb, Maamar 2 Bingi, Kishore 2 Chen, Yangquan 2 Chu, Yuming 2 Danca, Marius-Florin 2 Du, Wei 2 Fernández-Anaya, Guillermo 2 Gómez-Aguilar, José Francisco 2 He, Shaobo 2 Hernández-Martínez, Eduardo Gamaliel 2 Hong, Ling 2 Kofané, Timoléon Crépin 2 Kumar, Vineet 2 Lenka, Bichitra Kumar 2 Litak, Grzegorz 2 Liu, Jia 2 Liu, Liyan 2 Liu, Wenbin 2 Liu, Xiao Jun 2 Meléndez-Vázquez, Fidel 2 Munoz-Pacheco, Jesus Manuel 2 Mvogo, Alain 2 Nana Nbendjo, Blaise Romeo 2 Radwan, Ahmed G. 2 Rana, K. P. S. 2 Shaikh, Asif Ali 2 Sun, Zhongkui 2 Tang, Yang 2 Tong, Le 2 Torres, Delfim Fernando Marado 2 Wang, Hua 2 Wang, Xingyuan 2 Woafo, Paul 2 Xu, Wei 2 Xu, Yong 2 Yang, Hongxiang 2 Yang, Qigui 2 Yang, Xiaoli 2 Yusuf, Abdullahi A. 2 Zhang, Wei 2 Zhang, Yingqian 2 Zhu, Ping 1 Abdullah, Farah Aini 1 Abo-Zalam, Belal 1 Aboites, Vicente 1 Acikgoz, Mehmet 1 Ahmad, Muhammad Zaini 1 Ahmed, Naveed 1 Alam, Shariful 1 Alaviyan Shahri, Esmat Sadat 1 Alcaraz, Raúl 1 Aldurayhim, Abdullah 1 Alhadji Abba, Oumate 1 Alrabaiah, Hussam 1 Al-saedi, Ahmed Eid Salem 1 Araci, Serkan 1 Arellano-Delgado, Adrian 1 Arthi, Ganesan 1 Awadalla, Muath M. 1 Ayele, Biniyam 1 Bai, Lu 1 Bai, Rongji 1 Baisad, Kanokrat 1 Băleanu, Dumitru I. 1 Balochian, Saeed 1 Banerjee, Soumitro 1 Barman, Dipesh 1 Bassinello, D. G. 1 Ben-Bolie, Germain Hubert 1 Berhe, Hailay Weldegiorgis 1 Bibi, Sadaf 1 Bora, Swaroop Nandan 1 Boubaker, Olfa ...and 263 more Authors all top 5 Cited in 46 Serials 23 Communications in Nonlinear Science and Numerical Simulation 19 Nonlinear Dynamics 16 Chaos, Solitons and Fractals 8 Advances in Difference Equations 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Complexity 5 Journal of the Franklin Institute 5 Applied Mathematics and Computation 5 Fractional Calculus & Applied Analysis 4 Mathematical Problems in Engineering 4 International Journal of Systems Science. Principles and Applications of Systems and Integration 3 Physics Letters. A 3 Chaos 2 Mathematics and Computers in Simulation 2 European Journal of Control 2 Discrete Dynamics in Nature and Society 2 International Journal of Applied Mathematics and Computer Science 2 Boundary Value Problems 2 Advances in Mathematical Physics 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Physica A 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Optimal Control Applications & Methods 1 Systems & Control Letters 1 Circuits, Systems, and Signal Processing 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 International Journal of Adaptive Control and Signal Processing 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Fractals 1 Abstract and Applied Analysis 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Analysis. Modelling and Control 1 Mathematical Modelling and Analysis 1 Mathematics in Computer Science 1 Mathematical Modelling of Natural Phenomena 1 Journal of Nonlinear Science and Applications 1 São Paulo Journal of Mathematical Sciences 1 Journal of Applied Nonlinear Dynamics 1 Journal of Function Spaces 1 Nonlinear Physical Science all top 5 Cited in 28 Fields 101 Ordinary differential equations (34-XX) 54 Systems theory; control (93-XX) 53 Real functions (26-XX) 36 Dynamical systems and ergodic theory (37-XX) 19 Biology and other natural sciences (92-XX) 12 Numerical analysis (65-XX) 12 Information and communication theory, circuits (94-XX) 9 Mechanics of particles and systems (70-XX) 8 Partial differential equations (35-XX) 8 Difference and functional equations (39-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year