Image encryption based on fractional chaotic pseudo-random number generator and DNA encryption method

Nonlinear Dynamics - Nonlinear dynamic systems and chaotic systems have been quite exhaustively researched in the domain of cryptography. However, the possibility of using fractional chaotic...     

Dynamics of a stochastic system driven by cross-correlated sine-Wiener bounded noises

Nonlinear Dynamics - The sine-Wiener noise, as one new type of bounded noise and a natural tool to model fluctuations in dynamical systems, has been applied to problems in a variety of areas,...     

Dissipativity and contractivity for fractional-order systems

Nonlinear Dynamics - This paper concerns the dissipativity and contractivity of the Caputo fractional initial value problems. We prove that the systems have an absorbing set under the same...     

Differential attack on a hyper-chaos-based image cryptosystem with a classic bi-modular architecture

Nonlinear Dynamics - In recent years, hyper-chaos systems have been widely used in image cipher design. So far, a number of hyper-chaos-based image ciphers have been cryptanalyzed, but many others...     

A novel nonsmooth approach for flexible multibody systems with contact and friction in 3D space

Nonlinear Dynamics - For computational multibody system dynamics, contact and friction problems are very complex and important problems. Therefore, this paper proposes a novel nonsmooth method for...     

Nonlinear vibration of a slightly curved beam with quasi-zero-stiffness isolators

Nonlinear Dynamics - Bending vibration of isolated structures has always been neglected when the vibration isolation was studied. Isolated structures have usually been treated as discrete systems....     

The effect of longitudinal high-frequency in-plane vibrations on a 1-DoF friction oscillator with compliant contact

Nonlinear Dynamics - The effect of vibrational smoothing of dry friction has been studied intensively in the past. High-frequency vibrations have been shown to reduce average friction forces and...     

Continuation analysis of a nonlinear rotor system

Nonlinear Dynamics - Nonlinearities in rotating systems have been seen to cause a wide variety of rich phenomena; however, the understanding of these phenomena has been limited because numerical...     

Chimera states in neuronal networks with time delay and electromagnetic induction

Nonlinear Dynamics - Chimera state has been well studied in last decade, and a diversity of chimera states have been revealed in different systems. Recently, its attention has been moved to the...     

Ferromagnetic core coil hysteresis modeling using fractional derivatives

Nonlinear Dynamics - The modeling of a ferromagnetic core coil magnetic hysteresis has been considered. The measurement basis consisted of waveforms that have been recorded for various levels of...     

Nonlinear fractional optimal control problems with neural network and dynamic optimization schemes

Nonlinear Dynamics - This paper deals with a numerical technique for fractional optimal control problems (FOCPs) based on a neural network scheme. The fractional derivative in these problems is in...     

A novel series of solution methods for solving nonlinear stiff dynamic problems

Nonlinear Dynamics - A novel type of linear multi-step formulas is proposed for solving initial value problems, such as the problems of multi-body systems and vibration systems and a variety of...     

Global detection of detached periodic solution branches of friction-damped mechanical systems

Nonlinear Dynamics - Two novel methods to determine detached periodic solution branches of low-dimensional and large-scale friction-damped mechanical systems have been developed. The approach for...     

Influence of nonlinear subunits on the resonance frequency band gaps of acoustic metamaterial

Nonlinear Dynamics - Recently, a significant attention has been directed toward so called ‘acoustic metamaterials’ which have large similarity with already-known ‘electromagnetic...     

Distributed Nash equilibrium seeking for networked games of multiple high-order systems with disturbance rejection and communication delay

Nonlinear Dynamics - This paper investigates distributed Nash equilibrium seeking problems for networked games played by multiple high-order systems with disturbance rejection and communication...     

Methods of continuation and their implementation in the COCO software platform with application to delay differential equations

Nonlinear Dynamics - This paper treats comprehensively the construction of problems from nonlinear dynamics and constrained optimization amenable to parameter continuation techniques and with...     

The application of improved physics-informed neural network (IPINN) method in finance

Nonlinear Dynamics - With the development of computers and neural networks, the traditional methods of solving differential equations have been greatly developed. Typical examples are the...     

A novel pseudorandom number generator based on pseudorandomly enhanced logistic map

Nonlinear Dynamics - In last years, low-dimensional and high-dimensional chaotic systems have been implemented in cryptography. The efficiency and performance of these nonlinear systems play an...     

Singular-perturbed control for a novel SEA-actuated MBT autoloader subject to chassis oscillations

Nonlinear Dynamics - Autoloaders that replace the human loaders performing ammunition transferring tasks in main battle tanks have been confronted with the problem of poor compliance abilities. To...     

Continuously asymptotic tracking of disturbed interconnected systems with unknown control directions

Nonlinear Dynamics - Recently, the fruitful results on robust control for large-scale interconnected systems have been reported, but most of them are contingent upon “known control...