Synchronization transmission of the target signal in the circuit network based on coupling technique

Abstract We research the synchronization transmission of the target signal in the circuit network composed of modified autonomous Van der Pol-Duffing (MAVPD) circuit based on coupling technique. First, we introduce the characteristics of MAVPD circuit. At the same time, the synchronization transmission of the target signal originated from a single MAVPD circuit is researched based on the coupling technique. By calculating the Lyapunov exponent of the coupling circuit, the range of the coupling coefficient is determined when the target signal is transmitted synchronously. Furthermore, the MAVPD circuits are used as the nodes to construct the circuit network, and the synchronization transmission of the target signal in the circuit network is researched. Finally, we test the effect of noise on network synchronization performance.

[1]  Pietro De Lellis,et al.  The partial pinning control strategy for large complex networks , 2018, Autom..

[2]  Chengren Li,et al.  Cluster synchronization transmission of laser pattern signal in laser network with ring cavity , 2017 .

[3]  Amit Diwadkar,et al.  Synchronization in large-scale nonlinear network systems with uncertain links , 2019, Autom..

[4]  Mohammad Bagher Menhaj,et al.  Pinning impulsive Synchronization of Complex Dynamical Networks , 2012, Int. J. Bifurc. Chaos.

[5]  Gang Li,et al.  Projective synchronization for uncertain network based on modified sliding mode control technique , 2017 .

[6]  A. Arenas,et al.  Erosion of synchronization in networks of coupled oscillators. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[8]  Louis Pecora,et al.  Symmetry- and input-cluster synchronization in networks. , 2018, Physical review. E.

[9]  M. Lakshmanan,et al.  Different types of synchronization in coupled network based chaotic circuits , 2016, Commun. Nonlinear Sci. Numer. Simul..

[10]  M. S. M. Noorani,et al.  Projective lag synchronization in drive-response dynamical networks with delay coupling via hybrid feedback control , 2014, Nonlinear Dynamics.

[11]  J. Kurths,et al.  Impact of a leader on cluster synchronization. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Chengren Li,et al.  Synchronization transmission of spiral wave and turbulence in uncertain time-delay neuronal networks , 2019 .

[13]  M. Syed Ali,et al.  Synchronization Criterion of Complex Dynamical Networks with Both Leakage Delay and Coupling Delay on Time Scales , 2018, Neural Processing Letters.

[14]  M. Hasler,et al.  Connection Graph Stability Method for Synchronized Coupled Chaotic Systems , 2004 .

[15]  Ju H. Park,et al.  Pinning sampled-data synchronization of coupled inertial neural networks with reaction-diffusion terms and time-varying delays , 2017, Neurocomputing.

[16]  A. E. Matouk,et al.  Chaos, feedback control and synchronization of a fractional-order modified Autonomous Van der Pol–Duffing circuit , 2011 .

[17]  R. M. López-Gutiérrez,et al.  Small-World Outer Synchronization of Small-World Chaotic Networks , 2018, Journal of Computational and Nonlinear Dynamics.

[18]  Florian Dörfler,et al.  Synchronization in complex networks of phase oscillators: A survey , 2014, Autom..

[19]  T. Carroll,et al.  Master Stability Functions for Synchronized Coupled Systems , 1998 .

[20]  Gábor Orosz,et al.  Synchronization in networks with heterogeneous coupling delays. , 2018, Physical review. E.

[21]  R. Rakkiyappan,et al.  Pinning sampled-data control for synchronization of complex networks with probabilistic time-varying delays using quadratic convex approach , 2015, Neurocomputing.

[22]  Philipp Hövel,et al.  Adaptive synchronization in delay-coupled networks of Stuart-Landau oscillators. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  Emilia Fridman,et al.  Passification-based decentralized adaptive synchronization of dynamical networks with time-varying delays , 2015, J. Frankl. Inst..

[24]  Giulio Ruffini,et al.  Detection of Generalized Synchronization using Echo State Networks , 2017, Chaos.