Yang, Min; Dong, Chengwei; Pan, Hepeng Generating multi-directional hyperchaotic attractors: a novel multi-scroll system based on Julia fractal. (English) Zbl 07845839 Physica A 637, Article ID 129586, 26 p. (2024). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Sundarambal, Balaraman; Kemgang, Lucas Kana; Jacques, Kengne; Rajagopal, Karthikeyan Theoretical study and circuit implementation of three chain-coupled self-driven Duffing oscillators. (English) Zbl 07863024 Chaos 33, No. 11, Article ID 113134, 20 p. (2023). MSC: 94C05 94C60 34C23 34C15 × Cite Format Result Cite Review PDF Full Text: DOI
Uriostegui-Legorreta, Ulises; Tututi, Eduardo Salvador Master-slave synchronization in the Duffing-van der Pol and \(\Phi^6\) Duffing oscillators. (English) Zbl 07715016 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 3, 1059-1072 (2023). MSC: 34-XX 37-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ramadoss, Janarthanan; Kengne, Jacques; Tanekou, Sosthene Tsamene; Rajagopal, Karthikeyan; Kenmoe, Germaine Djuidje Reversal of period doubling, multistability and symmetry breaking aspects for a system composed of a van der Pol oscillator coupled to a Duffing oscillator. (English) Zbl 1505.34057 Chaos Solitons Fractals 159, Article ID 112157, 13 p. (2022). MSC: 34C15 70K55 70K50 70K40 34C60 × Cite Format Result Cite Review PDF Full Text: DOI
Balamurali, Ramakrishnan; Kengne, Leandre Kamdjeu; Rajagopal, Karthikeyan; Kengne, Jacques Coupled non-oscillatory Duffing oscillators: multistability, multiscroll chaos generation and circuit realization. (English) Zbl 07614923 Physica A 607, Article ID 128174, 17 p. (2022). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ramadoss, Janarthanan; Kengne, Jacques; Koinfo, Jean Baptiste; Rajagopal, Karthikeyan Multiple Hopf bifurcations, period-doubling reversals and coexisting attractors for a novel chaotic jerk system with Tchebytchev polynomials. (English) Zbl 07483620 Physica A 587, Article ID 126501, 21 p. (2022). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Kengne, Jacques; Dountsop, Sandrine Zoulewa; Chedjou, Jean Chamberlain; Nosirov, Khabibullo The effects of symmetry breaking perturbation on the dynamics of a novel chaotic system with cyclic symmetry: theoretical analysis and circuit realization. (English) Zbl 1484.34063 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 14, Article ID 2150207, 21 p. (2021). MSC: 34A34 34C14 34C23 34C28 34D08 34D45 × Cite Format Result Cite Review PDF Full Text: DOI
Rajagopal, Karthikeyan; Khalaf, Abdul Jalil M.; Wei, Zhouchao; Pham, Viet-Thanh; Alsaedi, Ahmed; Hayat, Tasawar Hyperchaos and coexisting attractors in a modified van der Pol-Duffing oscillator. (English) Zbl 1422.34130 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 5, Article ID 1950067, 17 p. (2019). MSC: 34C15 37C60 34C28 34C23 34D08 34D45 × Cite Format Result Cite Review PDF Full Text: DOI
Mokem Fokou, I. S.; Buckjohn, C. Nono Dueyou; Siewe, Martin Siewe; Tchawoua, C. Circuit implementation of a piezoelectric buckled beam and its response under fractional components considerations. (English) Zbl 1392.74049 Meccanica 53, No. 8, 2029-2052 (2018). MSC: 74H45 74F15 74M05 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Kountchou, Michaux; Louodop, Patrick; Bowong, Samuel; Fotsin, Hilaire; Saïdou Analog circuit design and optimal synchronization of a modified Rayleigh system. (English) Zbl 1349.94165 Nonlinear Dyn. 85, No. 1, 399-414 (2016). MSC: 94C05 34D06 94C30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Mushage, Baraka Olivier; Chedjou, Jean Chamberlain; Kyamakya, Kyandoghere An extended neuro-fuzzy-based robust adaptive sliding mode controller for linearizable systems and its application on a new chaotic system. (English) Zbl 1351.93084 Nonlinear Dyn. 83, No. 3, 1601-1619 (2016). MSC: 93C42 93B18 93B35 93C40 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Condon, Marissa; Deaño, Alfredo; Gao, Jing; Iserles, Arieh Asymptotic solvers for ordinary differential equations with multiple frequencies. (English) Zbl 1331.65095 Sci. China, Math. 58, No. 11, 2279-2300 (2015). MSC: 65L05 34A34 34C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kengne, J.; Kenmogne, F.; Tamba, V. Kamdoum Experiment on bifurcation and chaos in coupled anisochronous self-excited systems: case of two coupled van der Pol-Duffing oscillators. (English) Zbl 1407.34068 J. Nonlinear Dyn. 2014, Article ID 815783, 13 p. (2014). MSC: 34C60 34C15 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Condon, Marissa; Deaño, Alfredo; Gao, Jing; Iserles, Arieh Asymptotic solvers for second-order differential equation systems with multiple frequencies. (English) Zbl 1311.65090 Calcolo 51, No. 1, 109-139 (2014). MSC: 65L05 34A34 34E05 34C10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wei, X.; Randrianandrasana, M. F.; Ward, M.; Lowe, D. Nonlinear dynamics of a periodically driven Duffing resonator coupled to a van der Pol oscillator. (English) Zbl 1250.34032 Math. Probl. Eng. 2011, Article ID 248328, 16 p. (2011). MSC: 34C15 34D06 34C28 70K28 70K40 × Cite Format Result Cite Review PDF Full Text: DOI
Benítez, Sinuhé; Acho, Leonardo Impulsive synchronization for a new chaotic oscillator. (English) Zbl 1139.37050 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 2, 617-623 (2007). MSC: 37N35 37D45 93D99 94A40 × Cite Format Result Cite Review PDF Full Text: DOI
Criminale, W. O.; Jackson, T. L.; Nelson, P. W. Limit cycle-strange attractor competition. (English) Zbl 1141.34323 Stud. Appl. Math. 112, No. 2, 133-160 (2004). MSC: 34C15 37D45 × Cite Format Result Cite Review PDF Full Text: DOI