Parameter estimation and synchronization in the uncertain financial network

Abstract In this work, we research the parameter estimation and synchronization in the uncertain financial network. First, we introduce the characteristics of a typical financial system. And we design an observer to effectively estimate the uncertain parameter in the system. On this basis, we research the synchronization of the uncertain financial network consisting of several financial systems. The conditions of network synchronization are obtained by calculating the Lyapunov exponent of the network. Finally, we test the network synchronization performance using numerical simulation. This technique does not need to design the network controller or the control input, it is simple and convenient for practical application.

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

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

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

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

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

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

[7]  Ma Junhai,et al.  Study for the bifurcation topological structure and the global complicated character of a kind of nonlinear finance system (I) , 2001 .

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

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

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

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

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

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

[14]  Michael J. Stutzer,et al.  Chaotic dynamics and bifurcation in a macro model , 1980 .

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

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

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

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

[19]  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.

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

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

[22]  Ling Lü,et al.  Synchronization between uncertain spatiotemporal networks based on open-loop and closed-loop coupling technology , 2019, Physica A: Statistical Mechanics and its Applications.

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

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

[25]  Thongchai Botmart,et al.  Hybrid Adaptive Pinning Control for Function Projective Synchronization of Delayed Neural Networks with Mixed Uncertain Couplings , 2017, Complex..