Codimension-one and -two bifurcation analysis of a two-dimensional coupled logistic map
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DOI: 10.1016/j.chaos.2022.112651
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- Zhang, Ying-Qian & He, Yi & Wang, Xing-Yuan, 2018. "Spatiotemporal chaos in mixed linear–nonlinear two-dimensional coupled logistic map lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 148-160.
- Gancio, Juan & Rubido, Nicolás, 2022. "Critical parameters of the synchronisation's stability for coupled maps in regular graphs," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
- Elsadany, A.A. & Yousef, A.M. & Elsonbaty, Amr, 2018. "Further analytical bifurcation analysis and applications of coupled logistic maps," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 314-336.
- Alidousti, J. & Eskandari, Z. & Avazzadeh, Z., 2020. "Generic and symmetric bifurcations analysis of a three dimensional economic model," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
- Parsamanesh, Mahmood & Erfanian, Majid, 2021. "Stability and bifurcations in a discrete-time SIVS model with saturated incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
- Li, Xian-Feng & Leung, Andrew Y.T. & Jiang, Jun, 2018. "Synchronizability and mode-locking of two scaled quadratic maps via symmetric direct-coupling," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 239-247.
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Keywords
Coupled logistic map; Bifurcation analysis; Critical normal form coefficient; Numerical continuation method;All these keywords.
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