342
8 Complex Dynamics and Synchronization Phenomena in Arrays of Memristor. . .
20. E. Bilotta, F. Chiaravalloti, P. Pantano, Spontaneous synchronization in two mutually coupled
memristor-based Chua’s circuits: numerical investigations. Math. Problems Eng. 2014, 594962
(2014)
21. E. Bilotta, F. Chiaravalloti, P. Pantano, Synchronization and waves in a ring of diffusively
coupled memristor-based Chua’s circuits. Acta Appl. Math. 132(1), 83–94 (2014)
22. V.-T. Pham, S. Vaidyanathan, C.K. Volos, S. Jafari, N.V. Kuznetsov, T.M. Hoang, A novel
memristive time-delay chaotic system without equilibrium points. Eur. Phys. J. Spec. Top
225(1), 127–136 (2016)
23. J. Ma, F. Wu, G. Ren, J. Tang, A class of initials-dependent dynamical systems. Appl. Math.
Comput. 298, 65–76 (2017)
24. Q. Xu, Y. Lin, B. Bao, M. Chen, Multiple attractors in a non-ideal active voltage-controlled
memristor based Chua’s circuit. Chaos Solitons Fractals 83, 186–200 (2016)
25. B. Bao, T. Jiang, G. Wang, P. Jin, H. Bao, M. Chen, Two-memristor-based Chua’s hyperchaotic
circuit with plane equilibrium and its extreme multistability. Nonlinear Dyn. 1–15 (2017)
26. M. Gilli, F. Corinto, P. Checco, Periodic oscillations and bifurcations in cellular nonlinear
networks. IEEE Trans. Circ. Syst. I Regul. Pap. 51(5), 948–962 (2004)
27. W. Lu, T. Chen, New approach to synchronization analysis of linearly coupled ordinary
differential systems. Phys. D Nonlinear Phenom. 213(2), 214–230 (2006)
28. C.W. Wu, L.O. Chua, Synchronization in an array of linearly coupled dynamical systems. IEEE
Trans. Circuits Syst. I Fund. Theory Appl. 42(8), 430–447 (1995)
29. M. Itoh, L.O. Chua, Memristor oscillators. Int. J. Bifurc. Chaos 18(11), 3183–3206 (2008)
30. B.-C. Bao, Q. Xu, H. Bao, M. Chen, Extreme multistability in a memristive circuit. Electron.
Lett. 52(12), 1008–1010 (2016)
31. B. Bao, Z. Ma, J. Xu, Z. Liu, Q. Xu, A simple memristor chaotic circuit with complex
dynamics. Int. J. Bifurc. Chaos 21(9), 2629–2645 (2011)
32. M.E. Yalcin, Dynamic behavior of 1-D array of the memristively-coupled Chua’s circuits, in
2013 8th International Conference on Electrical and Electronics Engineering (ELECO) (IEEE,
Piscataway, 2013), pp. 13–16
33. L. Ponta, V. Lanza, M. Bonnin, F. Corinto, Emerging dynamics in neuronal networks of
diffusively coupled hard oscillators. Neural Netw. 24(5), 466–475 (2011)
34. V. Lanza, L. Ponta, M. Bonnin, F. Corinto, Multiple attractors and bifurcations in hard
oscillators driven by constant inputs. Int. J. Bifurc. Chaos 22(11), 1250267 (2012)
35. R. Genesio, A. Tesi, Distortion control of chaotic systems: the Chua’s circuit. J. Circuits Syst.
Comput. 3(1), 151–171 (1993)
36. F.C. Hoppensteadt, E.M. Izhikevich, Weakly Connected Neural Networks, vol. 126 (Springer,
Berlin, 2012)
8 Complex Dynamics and Synchronization Phenomena in Arrays of Memristor. . .
20. E. Bilotta, F. Chiaravalloti, P. Pantano, Spontaneous synchronization in two mutually coupled
memristor-based Chua’s circuits: numerical investigations. Math. Problems Eng. 2014, 594962
(2014)
21. E. Bilotta, F. Chiaravalloti, P. Pantano, Synchronization and waves in a ring of diffusively
coupled memristor-based Chua’s circuits. Acta Appl. Math. 132(1), 83–94 (2014)
22. V.-T. Pham, S. Vaidyanathan, C.K. Volos, S. Jafari, N.V. Kuznetsov, T.M. Hoang, A novel
memristive time-delay chaotic system without equilibrium points. Eur. Phys. J. Spec. Top
225(1), 127–136 (2016)
23. J. Ma, F. Wu, G. Ren, J. Tang, A class of initials-dependent dynamical systems. Appl. Math.
Comput. 298, 65–76 (2017)
24. Q. Xu, Y. Lin, B. Bao, M. Chen, Multiple attractors in a non-ideal active voltage-controlled
memristor based Chua’s circuit. Chaos Solitons Fractals 83, 186–200 (2016)
25. B. Bao, T. Jiang, G. Wang, P. Jin, H. Bao, M. Chen, Two-memristor-based Chua’s hyperchaotic
circuit with plane equilibrium and its extreme multistability. Nonlinear Dyn. 1–15 (2017)
26. M. Gilli, F. Corinto, P. Checco, Periodic oscillations and bifurcations in cellular nonlinear
networks. IEEE Trans. Circ. Syst. I Regul. Pap. 51(5), 948–962 (2004)
27. W. Lu, T. Chen, New approach to synchronization analysis of linearly coupled ordinary
differential systems. Phys. D Nonlinear Phenom. 213(2), 214–230 (2006)
28. C.W. Wu, L.O. Chua, Synchronization in an array of linearly coupled dynamical systems. IEEE
Trans. Circuits Syst. I Fund. Theory Appl. 42(8), 430–447 (1995)
29. M. Itoh, L.O. Chua, Memristor oscillators. Int. J. Bifurc. Chaos 18(11), 3183–3206 (2008)
30. B.-C. Bao, Q. Xu, H. Bao, M. Chen, Extreme multistability in a memristive circuit. Electron.
Lett. 52(12), 1008–1010 (2016)
31. B. Bao, Z. Ma, J. Xu, Z. Liu, Q. Xu, A simple memristor chaotic circuit with complex
dynamics. Int. J. Bifurc. Chaos 21(9), 2629–2645 (2011)
32. M.E. Yalcin, Dynamic behavior of 1-D array of the memristively-coupled Chua’s circuits, in
2013 8th International Conference on Electrical and Electronics Engineering (ELECO) (IEEE,
Piscataway, 2013), pp. 13–16
33. L. Ponta, V. Lanza, M. Bonnin, F. Corinto, Emerging dynamics in neuronal networks of
diffusively coupled hard oscillators. Neural Netw. 24(5), 466–475 (2011)
34. V. Lanza, L. Ponta, M. Bonnin, F. Corinto, Multiple attractors and bifurcations in hard
oscillators driven by constant inputs. Int. J. Bifurc. Chaos 22(11), 1250267 (2012)
35. R. Genesio, A. Tesi, Distortion control of chaotic systems: the Chua’s circuit. J. Circuits Syst.
Comput. 3(1), 151–171 (1993)
36. F.C. Hoppensteadt, E.M. Izhikevich, Weakly Connected Neural Networks, vol. 126 (Springer,
Berlin, 2012)