Clarify the physical process for fractional dynamical systems

Nonlinear Dynamics - Dynamics in fractional order systems has been discussed extensively for presenting a possible guidance in the field of applied mathematics and interdisciplinary science. Within...     

Invariant torus and its destruction for an oscillator with dry friction

Nonlinear Dynamics - Mechanical systems with dry friction are typical Filippov systems. Such class of systems have complicated dynamical behaviors due to the existence of sliding motion. In this...     

Distributed cooperative adaptive tracking control for heterogeneous systems with hybrid nonlinear dynamics

Nonlinear Dynamics - The cooperative leader-following tracking for a group of heterogeneous mechanical systems with nonlinear hybrid order dynamics is studied. The controlled systems are considered...     

Networks of coupled time-delay digital tanlock loops: chimeras and other emergent spatiotemporal dynamics

Nonlinear Dynamics - Phase-locked loops are important engineering systems that are widely used in electronic communication systems. Although, in almost all the engineering applications they operate...     

Chaos in one-dimensional structural mechanics

Nonlinear Dynamics - Notwithstanding the presence of some books summarizing specific research bodies on structural systems, reviews on nonlinear dynamics and chaos in mechanical systems and...     

On post-resonance backward whirl in an overhung rotor with snubbing contact

Nonlinear Dynamics - Rotordynamic systems are central to many aerospace and heavy-duty industrial applications. The vibrational response of such systems is usually associated with forward whirl...     

Model reduction for constrained mechanical systems via spectral submanifolds

Nonlinear Dynamics - Dynamical systems are often subject to algebraic constraints in conjunction with their governing ordinary differential equations. In particular, multibody systems are commonly...     

Coordinated motion of Lagrangian systems with auxiliary oscillators under cooperative and cooperative–competitive interactions

Nonlinear Dynamics - The present paper investigates coordinated oscillatory motion of networked Lagrangian systems under diverse interactions. Based on two new auxiliary oscillator systems, we...     

Fractional-order system identification for health monitoring

Nonlinear Dynamics - Fractional-order differential equations can describe the dynamics of robot formations and other high-order systems. These equations are useful models for such systems because...     

Tracking control for underactuated non-minimum phase multibody systems

Nonlinear Dynamics - We consider tracking control for multibody systems which are modeled using holonomic and non-holonomic constraints. Furthermore, the systems may be underactuated and contain...     

A novel embedding method for characterization of low-dimensional nonlinear dynamical systems

Nonlinear Dynamics - Characterization of dynamical systems remains a central challenge in real-world applications because, in most cases, governing equations of the systems cannot be obtained...     

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...     

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...     

Observer-based adaptive consensus tracking control for nonlinear multi-agent systems with actuator hysteresis

Nonlinear Dynamics - This paper addresses the consensus tracking problem of a class of nonlinear multi-agent systems by using observer-based control. The systems are in output-feedback form with...     

Geometric control formulation and nonlinear controllability of airplane flight dynamics

Nonlinear Dynamics - Linear controllability conditions for linearized systems are not necessary. That is, there exists a class of nonlinear systems that are linearly uncontrollable but nonlinearly...     

Novel stability condition for delayed fractional-order composite systems based on vector Lyapunov function

Nonlinear Dynamics - This paper proposes a novel stability condition for delayed fractional-order composite systems. First, we extend the vector Lyapunov function to the fractional-order systems to...     

Lie symmetries,integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations

Nonlinear Dynamics - Mechanism for the generation of attractor in nonlinear systems with hidden attractor is still not understood completely. Since such systems do not possess all the requisite...     

Modified generalized multiscale sample entropy and surrogate data analysis for financial time series

Nonlinear Dynamics - Complexity in time series is an intriguing feature of living dynamical systems such as financial systems, with potential use for identification of system state. Multiscale...     

Active control of liquid film flows: beyond reduced-order models

Nonlinear Dynamics - The ability to robustly and efficiently control the dynamics of nonlinear systems lies at the heart of many current technological challenges, ranging from drug delivery systems...     

Remote synchronization in human cerebral cortex network with identical oscillators

Nonlinear Dynamics - Remote synchronization (RS) has recently received an increasing interest in the systems of nonidentical oscillators, but little attention has been paid to the systems of...