/pdf/dynamics-and-bifurcations-of-nonsmooth-systems-a-survey-1qecz49b7p.pdf

Dynamics and bifurcations of nonsmooth systems: A survey

The industrial Internet of Things (IoT) is a trend of factory development and a basic condition of intelligent factory. It is very important to ensure the security of data transmission in industrial IoT. Applying a new chaotic secure communication scheme to address the security problem of data transmission is the main contribution of this paper. The scheme is proposed and studied based on the synchronization of different-structure fractional-order chaotic systems with different order. The Lyapunov stability theory is used to prove the synchronization between the fractional-order drive system and the response system. The encryption and decryption process of the main data signals is implemented by using the n-shift encryption principle. We calculate and analyze the key space of the scheme. Numerical simulations are introduced to show the effectiveness of theoretical approach we proposed.

A novel secure data transmission scheme in industrial internet of things

The synchronization control problem is investigated for a class of discrete-time dynamical networks with packet dropouts via a coding–decoding-based approach. The data is transmitted through digital communication channels and only the sequence of finite coded signals is sent to the controller. A series of mutually independent Bernoulli distributed random variables is utilized to model the packet dropout phenomenon occurring in the transmissions of coded signals. The purpose of the addressed synchronization control problem is to design a suitable coding–decoding procedure for each node, based on which an efficient decoder-based control protocol is developed to guarantee that the closed-loop network achieves the desired synchronization performance. By applying a modified uniform quantization approach and the Kronecker product technique, criteria for ensuring the detectability of the dynamical network are established by means of the size of the coding alphabet, the coding period and the probability information of packet dropouts. Subsequently, by resorting to the input-to-state stability theory, the desired controller parameter is obtained in terms of the solutions to a certain set of inequality constraints which can be solved effectively via available software packages. Finally, two simulation examples are provided to demonstrate the effectiveness of the obtained results.

/pdf/synchronization-control-for-a-class-of-discrete-time-3i95z4jv80.pdf

Synchronization Control for a Class of Discrete-Time Dynamical Networks With Packet Dropouts: A Coding–Decoding-Based Approach

https://hal.archives-ouvertes.fr/hal-01510829/document

Periodic orbits, damped transitions and targeted energy transfers in oscillators with vibro-impact attachments

This paper presents a new 3-D autonomous chaotic system, which is topologically non-equivalent to the original Lorenz and all Lorenz-like systems. Of particular interest is that the chaotic system can generate double-scroll chaotic attractors in a very wide parameter domain with only two stable equilibria. The existence of singularly degenerate heteroclinic cycles for a suitable choice of the parameters is investigated. Periodic solutions and chaotic attractors can be found when these cycles disappear. Finally, the complicated dynamics are studied by virtue of theoretical analysis, numerical simulation and Lyapunov exponents spectrum. The obtained results clearly show that the chaotic system deserves further detailed investigation.

Dynamical analysis of a new autonomous 3-D chaotic system only with stable equilibria

On the basis of traditional weighted network, we study a new complex network model with multi-weights, which has one or several different types of weights between any two nodes. According to the method of network split, we split the complex network with multi-weights into several different complex networks with single weight, and study its global synchronization. Taking bus lines as the network nodes, a new public traffic roads network model with multi-weights is established by the proposed network model and space R modeling approach. Then based on the Lyapunov stability theory, the criteria is designed for the global synchronization of the public traffic roads networks with multi-weights. By changing the different weights and taking the Lorenz chaotic system for example, some numerical examples are given to discuss the balance of the whole public traffic roads network.

Synchronization analysis of complex networks with multi-weights and its application in public traffic network

Regarding single bus transfer junction as a research object, this paper constructs the urban traffic network models with multi-weights taking different bus lines in bus transfer junction as the network nodes, that is, the urban traffic network with multi-weights is given different properties weights at every edge. According to the method of network split, the complex network with multi-weights is split into several different single weighted complex networks. Then, we study the global synchronization of the new network model by changing congestion degrees, transfers coefficient and passenger flow density between different bus lines. Finally, analytical and simulated results are given to show the impact of different properties weights to the public traffic network balance.

Research on urban public traffic network with multi-weights based on single bus transfer junction

In this paper we study the nonlinear dynamics of a Lorenz-like system. More precisely, we study the stability and bifurcations which occur in a new three parameter quadratic chaotic system. We also study the existence of singularly degenerate heteroclinic cycles for a suitable choice of the parameters. As a consequence we show the existence of chaotic attractors when these cycles disappear.

Nonlinear analysis in a Lorenz-like system

Chaos and chaos synchronization of the centrifugal flywheel governor system are studied in this paper. By mechanics analyzing, the dynamical equation of the centrifugal flywheel governor system is established. Because of the non-linear terms of the system, the system exhibits both regular and chaotic motions. The characteristic of chaotic attractors of the system is presented by the phase portraits and power spectra. The evolution from Hopf bifurcation to chaos is shown by the bifurcation diagrams and a series of Poincare sections under different sets of system parameters, and the bifurcation diagrams are verified by the related Lyapunov exponent spectra. This letter addresses control for the chaos synchronization of feedback control laws in two coupled non-autonomous chaotic systems with three different coupling terms, which is demonstrated and verified by Lyapunov exponent spectra and phase portraits. Finally, numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.

Jian-Gang Zhang

Papers

Synchronization analysis of complex networks with multi-weights and its application in public traffic network

Research on urban public traffic network with multi-weights based on single bus transfer junction

Nonlinear analysis in a Lorenz-like system

Chaos and chaos synchronization for a non-autonomous rotational machine systems

Double Neimark Sacker bifurcation and torus bifurcation of a class of vibratory systems with symmetrical rigid stops