Comparison of the influences of nodal dynamics on network synchronized regions |
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| Institution: | 1. Fujian Province University Key Laboratory of Computation Science, School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China;2. Department of Mathematics & Statistics, Georgia State University, Atlanta 30303, USA;1. Département de SM, Institue des Sciences et des Technologies, Centre Universitaire de Tissemsilt, Tissemsilt 38000, Algeria;2. Laboratoire de Physique Quantique de la Matière et de Modélisation Mathématique (LPQ3M), Université de Mascara, Mascara 29000, Algeria;3. Faculty of Sciences, Department of Physics, Dr. Tahar Moulay University of Saida, Saida 20000, Algeria;4. Department of Physics and Astronomy, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia;5. Department of Physics, University of North Bengal, Darjeeling, 734013, India;6. Material Science Research Laboratory, Department of Physics, S. V. College, Aligarh, 202001, U.P., India;1. Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon;2. Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon;3. African Centre of Excellence in Information and Communication Technologies, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon;1. Physics Department, Faculty of Science, Sahand University of Technology, P. O. Box 51335, Tabriz 1996, Iran;2. Mathematics Department, Faculty of Science, Sahand University of Technology, P. O. Box 51335, Tabriz 1996, Iran;1. Department of Mathematics, Bharathiar University, Coimbatore 641 046, India;2. Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore 641407, India;3. Department of Mechanical Engineering, Firat University, Elazig 23119, Turkey;4. Department of Mechanical Engineering, King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | A new piecewise linear unified chaotic (PLUC) system is firstly presented, and then its fundamental dynamical behaviors are analyzed. This modified chaotic system, as well as the unified chaotic (UC) one, is taken as network nodal oscillators for investigating the difference of influences of nodal dynamics on the bifurcation of network synchronized regions. It is found that beyond the greatly similar bifurcation modes between PLUC and UC networks, the synchronized regions in PLUC networks are far narrower at almost each parameter a than those in UC networks for most of inner coupling matrices, indicating the PLUC node makes the network more difficult to synchronization. Our numerical investigations show that this phenomenon is closely related with nodal dynamical properties, such as the boundary of attractors, the largest Lyapunov exponent and Lyapunov dimension. |
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