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Simple chaotic flows with a line equilibrium

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Cited by:

  1. Iskakova, Kulpash & Alam, Mohammad Mahtab & Ahmad, Shabir & Saifullah, Sayed & Akgül, Ali & Yılmaz, Gülnur, 2023. "Dynamical study of a novel 4D hyperchaotic system: An integer and fractional order analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 219-245.
  2. Xinhe Zhu & Wei-Shih Du, 2019. "A New Family of Chaotic Systems with Different Closed Curve Equilibrium," Mathematics, MDPI, vol. 7(1), pages 1-8, January.
  3. Nazarimehr, Fahimeh & Rajagopal, Karthikeyan & Kengne, Jacques & Jafari, Sajad & Pham, Viet-Thanh, 2018. "A new four-dimensional system containing chaotic or hyper-chaotic attractors with no equilibrium, a line of equilibria and unstable equilibria," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 108-118.
  4. Aslmostafa, Ehsan & Mirzaei, Mohammad Javad & Asadollahi, Mostafa & Badamchizadeh, Mohammad Ali, 2021. "Synchronization problem for a class of multi-input multi-output systems with terminal sliding mode control based on finite-time disturbance observer: Application to Chameleon chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
  5. Lai, Qiang & Nestor, Tsafack & Kengne, Jacques & Zhao, Xiao-Wen, 2018. "Coexisting attractors and circuit implementation of a new 4D chaotic system with two equilibria," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 92-102.
  6. Aguirre-Hernández, B. & Campos-Cantón, E. & López-Renteria, J.A. & Díaz González, E.C., 2015. "A polynomial approach for generating a monoparametric family of chaotic attractors via switched linear systems," Chaos, Solitons & Fractals, Elsevier, vol. 71(C), pages 100-106.
  7. Mobayen, Saleh & Alattas, Khalid A. & Fekih, Afef & El-Sousy, Fayez F.M. & Bakouri, Mohsen, 2022. "Barrier function-based adaptive nonsingular sliding mode control of disturbed nonlinear systems: A linear matrix inequality approach," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
  8. Signing, V.R. Folifack & Kengne, J. & Pone, J.R. Mboupda, 2019. "Antimonotonicity, chaos, quasi-periodicity and coexistence of hidden attractors in a new simple 4-D chaotic system with hyperbolic cosine nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 187-198.
  9. Owolabi, Kolade M. & Atangana, Abdon, 2017. "Analysis and application of new fractional Adams–Bashforth scheme with Caputo–Fabrizio derivative," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 111-119.
  10. Dlamini, A. & Doungmo Goufo, E.F., 2023. "Generation of self-similarity in a chaotic system of attractors with many scrolls and their circuit’s implementation," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
  11. Njitacke, Z.T. & Kengne, J. & Tapche, R. Wafo & Pelap, F.B., 2018. "Uncertain destination dynamics of a novel memristive 4D autonomous system," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 177-185.
  12. Zhang, Xin & Li, Chunbiao & Chen, Yudi & IU, Herbert H.C. & Lei, Tengfei, 2020. "A memristive chaotic oscillator with controllable amplitude and frequency," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
  13. Cai, Xinshan & Liu, Ling & Wang, Yaoyu & Liu, Chongxin, 2021. "A 3D chaotic system with piece-wise lines shape non-hyperbolic equilibria and its predefined-time control," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
  14. Kingni, Sifeu Takougang & Pham, Viet-Thanh & Jafari, Sajad & Woafo, Paul, 2017. "A chaotic system with an infinite number of equilibrium points located on a line and on a hyperbola and its fractional-order form," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 209-218.
  15. Mezatio, Brice Anicet & Motchongom, Marceline Tingue & Wafo Tekam, Blaise Raoul & Kengne, Romanic & Tchitnga, Robert & Fomethe, Anaclet, 2019. "A novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 100-115.
  16. Danca, Marius-F. & Lampart, Marek, 2021. "Hidden and self-excited attractors in a heterogeneous Cournot oligopoly model," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
  17. Wang, Ran & Li, Chunbiao & Kong, Sixiao & Jiang, Yicheng & Lei, Tengfei, 2022. "A 3D memristive chaotic system with conditional symmetry," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
  18. Jafari, Sajad & Dehghan, Soroush & Chen, Guanrong & Kingni, Sifeu Takougang & Rajagopal, Karthikeyan, 2018. "Twin birds inside and outside the cage," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 135-140.
  19. Marius-F. Danca, 2020. "Coexisting Hidden and self-excited attractors in an economic system of integer or fractional order," Papers 2008.12108, arXiv.org, revised Sep 2020.
  20. Xiong Wang & Viet-Thanh Pham & Christos Volos, 2017. "Dynamics, Circuit Design, and Synchronization of a New Chaotic System with Closed Curve Equilibrium," Complexity, Hindawi, vol. 2017, pages 1-9, February.
  21. Folifack Signing, V.R. & Gakam Tegue, G.A. & Kountchou, M. & Njitacke, Z.T. & Tsafack, N. & Nkapkop, J.D.D. & Lessouga Etoundi, C.M. & Kengne, J., 2022. "A cryptosystem based on a chameleon chaotic system and dynamic DNA coding," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
  22. Pham, Viet–Thanh & Jafari, Sajad & Volos, Christos & Fortuna, Luigi, 2019. "Simulation and experimental implementation of a line–equilibrium system without linear term," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 213-221.
  23. Jindao Zha & Chunbiao Li & Bing Song & Wen Hu, 2016. "Synchronisation control of composite chaotic systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3952-3959, December.
  24. Zhang, Sen & Zeng, Yicheng, 2019. "A simple Jerk-like system without equilibrium: Asymmetric coexisting hidden attractors, bursting oscillation and double full Feigenbaum remerging trees," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 25-40.
  25. Kocamaz, Uğur Erkin & Uyaroğlu, Yılmaz, 2015. "Comments on “Simple chaotic flows with a line equilibrium” [Chaos, solitons & fractals 57 (2013) 79–84]," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 340-340.
  26. Gritli, Hassène & Belghith, Safya, 2018. "Walking dynamics of the passive compass-gait model under OGY-based state-feedback control: Rise of the Neimark–Sacker bifurcation," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 158-168.
  27. Xu, Quan & Lin, Yi & Bao, Bocheng & Chen, Mo, 2016. "Multiple attractors in a non-ideal active voltage-controlled memristor based Chua's circuit," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 186-200.
  28. Wang, Zhen & Abdolmohammadi, Hamid Reza & Alsaadi, Fawaz E. & Hayat, Tasawar & Pham, Viet-Thanh, 2018. "A new oscillator with infinite coexisting asymmetric attractors," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 252-258.
  29. Prasina Alexander & Selçuk Emiroğlu & Sathiyadevi Kanagaraj & Akif Akgul & Karthikeyan Rajagopal, 2023. "Infinite coexisting attractors in an autonomous hyperchaotic megastable oscillator and linear quadratic regulator-based control and synchronization," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(1), pages 1-13, January.
  30. Zhao, Heqi & Ma, Xindong & Yang, Weijie & Zhang, Zhao & Bi, Qinsheng, 2023. "The mechanism of periodic and chaotic bursting patterns in an externally excited memcapacitive system," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
  31. Leutcho, Gervais Dolvis & Kengne, Jacques, 2018. "A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 275-293.
  32. Wu, Fuqiang & Zhou, Ping & Alsaedi, Ahmed & Hayat, Tasawar & Ma, Jun, 2018. "Synchronization dependence on initial setting of chaotic systems without equilibria," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 124-132.
  33. Singh, Jay Prakash & Roy, Binoy Krishna & Jafari, Sajad, 2018. "New family of 4-D hyperchaotic and chaotic systems with quadric surfaces of equilibria," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 243-257.
  34. Vijayakumar M.D. & Anitha Karthikeyan & Jozef Zivcak & Ondrej Krejcar & Hamidreza Namazi, 2021. "Dynamical Behavior of a New Chaotic System with One Stable Equilibrium," Mathematics, MDPI, vol. 9(24), pages 1-9, December.
  35. Srinivasan, K. & Chandrasekar, V.K. & Venkatesan, A. & Raja Mohamed, I., 2016. "Duffing–van der Pol oscillator type dynamics in Murali–Lakshmanan–Chua (MLC) circuit," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 60-71.
  36. Marius-F. Danca & Nikolay Kuznetsov, 2021. "Hidden Strange Nonchaotic Attractors," Mathematics, MDPI, vol. 9(6), pages 1-19, March.
  37. Liang, Bo & Hu, Chenyang & Tian, Zean & Wang, Qiao & Jian, Canling, 2023. "A 3D chaotic system with multi-transient behavior and its application in image encryption," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 616(C).
  38. Pham, Viet–Thanh & Jafari, Sajad & Volos, Christos & Kapitaniak, Tomasz, 2016. "A gallery of chaotic systems with an infinite number of equilibrium points," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 58-63.
  39. Jalal, Adnan A. & Amen, Azad I. & Sulaiman, Nejmaddin A., 2020. "Darboux integrability of the simple chaotic flow with a line equilibria differential system," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
  40. Li, Chunbiao & Sprott, Julien Clinton & Zhang, Xin & Chai, Lin & Liu, Zuohua, 2022. "Constructing conditional symmetry in symmetric chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
  41. Nazarimehr, Fahimeh & Sheikh, Javad & Ahmadi, Mohammad Mahdi & Pham, Viet–Thanh & Jafari, Sajad, 2018. "Fuzzy predictive controller for chaotic flows based on continuous signals," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 349-354.
  42. Dong, Chengwei & Yang, Min & Jia, Lian & Li, Zirun, 2024. "Dynamics investigation and chaos-based application of a novel no-equilibrium system with coexisting hidden attractors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
  43. Hong-Min Li & Yan-Feng Yang & Yang Zhou & Chun-Lai Li & Kun Qian & Zhao-Yu Li & Jian-Rong Du, 2019. "Dynamics and Synchronization of a Memristor-Based Chaotic System with No Equilibrium," Complexity, Hindawi, vol. 2019, pages 1-11, October.
  44. Joshi, Manoj & Ranjan, Ashish, 2020. "Investigation of dynamical properties in hysteresis-based a simple chaotic waveform generator with two stable equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
  45. Aiguo Wu & Shijian Cang & Ruiye Zhang & Zenghui Wang & Zengqiang Chen, 2018. "Hyperchaos in a Conservative System with Nonhyperbolic Fixed Points," Complexity, Hindawi, vol. 2018, pages 1-8, April.
  46. Lai, Qiang & Xu, Guanghui & Pei, Huiqin, 2019. "Analysis and control of multiple attractors in Sprott B system," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 192-200.
  47. Chen, Yuming & Yang, Qigui, 2015. "A new Lorenz-type hyperchaotic system with a curve of equilibria," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 112(C), pages 40-55.
  48. Othman Abdullah Almatroud & Karthikeyan Rajagopal & Viet-Thanh Pham & Giuseppe Grassi, 2024. "A Novel Chaotic System with Only Quadratic Nonlinearities: Analysis of Dynamical Properties and Stability," Mathematics, MDPI, vol. 12(4), pages 1-10, February.
  49. Zhusubaliyev, Zhanybai T. & Mosekilde, Erik, 2015. "Multistability and hidden attractors in a multilevel DC/DC converter," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 109(C), pages 32-45.
  50. Wang, Zhen & Ahmadi, Atefeh & Tian, Huaigu & Jafari, Sajad & Chen, Guanrong, 2023. "Lower-dimensional simple chaotic systems with spectacular features," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
  51. Ojoniyi, Olurotimi S. & Njah, Abdulahi N., 2016. "A 5D hyperchaotic Sprott B system with coexisting hidden attractors," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 172-181.
  52. Chen, Mo & Wang, Chao & Bao, Han & Ren, Xue & Bao, Bocheng & Xu, Quan, 2020. "Reconstitution for interpreting hidden dynamics with stable equilibrium point," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
  53. Hairong Lin & Chunhua Wang & Fei Yu & Jingru Sun & Sichun Du & Zekun Deng & Quanli Deng, 2023. "A Review of Chaotic Systems Based on Memristive Hopfield Neural Networks," Mathematics, MDPI, vol. 11(6), pages 1-18, March.
  54. Gritli, Hassène, 2019. "Poincaré maps design for the stabilization of limit cycles in non-autonomous nonlinear systems via time-piecewise-constant feedback controllers with application to the chaotic Duffing oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 127-145.
  55. Bi, Haiyun & Qi, Guoyuan & Hu, Jianbing & Faradja, Philippe & Chen, Guanrong, 2020. "Hidden and transient chaotic attractors in the attitude system of quadrotor unmanned aerial vehicle," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
  56. Kingni, Sifeu Takougang & Jafari, Sajad & Pham, Viet-Thanh & Woafo, Paul, 2017. "Constructing and analyzing of a unique three-dimensional chaotic autonomous system exhibiting three families of hidden attractors," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 132(C), pages 172-182.
  57. Danca, Marius-F., 2021. "Hopfield neuronal network of fractional order: A note on its numerical integration," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
  58. Singh, Jay Prakash & Roy, Binoy Krishna, 2018. "Five new 4-D autonomous conservative chaotic systems with various type of non-hyperbolic and lines of equilibria," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 81-91.
  59. Munmuangsaen, Buncha & Srisuchinwong, Banlue, 2018. "A hidden chaotic attractor in the classical Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 61-66.
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