Journal of Computational and Nonlinear Dynamics: Recent submissions
Now showing items 661-680 of 1786
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Hidden Chaotic Attractors and Synchronization for a New Fractional-Order Chaotic System
(American Society of Mechanical Engineers (ASME), 2019)Although a large number of hidden chaotic attractors have been studied in recent years, most studies only refer to integer-order chaotic systems and neglect the relationships among chaotic attractors. In this paper, we ... -
Probabilistic Analysis of Bifurcations in Stochastic Nonlinear Dynamical Systems
(American Society of Mechanical Engineers (ASME), 2019)Bifurcation diagrams are limited most often to deterministic dynamical systems. However, stochastic dynamics can substantially affect the interpretation of such diagrams because the deterministic diagram often is not simply ... -
A Robust Computational Algorithm of Homotopy Asymptotic Method for Solving Systems of Fractional Differential Equations
(American Society of Mechanical Engineers (ASME), 2019)In this paper, we present new ideas for the implementation of homotopy asymptotic method (HAM) to solve systems of nonlinear fractional differential equations (FDEs). An effective computational algorithm, which is based ... -
Torsional Vibrations and Nonlinear Dynamic Characteristics of Drill Strings and Stick-Slip Reduction Mechanism
(American Society of Mechanical Engineers (ASME), 2019)Torsional stick–slip vibrations easily occur when the drill bit encounters a hard or a hard-soft staggered formation during drilling process. Moreover, serious stick–slip vibrations of the drill string is the main factor ... -
A Numerical Algorithm to Capture Spin Patterns of Fractional Bloch Nuclear Magnetic Resonance Flow Models
(American Society of Mechanical Engineers (ASME), 2019)Fractional Bloch equation is a generalized form of the integer order Bloch equation. It governs the dynamics of an ensemble of spins, controlling the basic process of nuclear magnetic resonance (NMR). Scale-3 (S-3) Haar ... -
An Adaptive Multiscaling Approach for Reducing Computation Time in Simulations of Articulated Biopolymers
(American Society of Mechanical Engineers (ASME), 2019)Microscale dynamic simulations can require significant computational resources to generate desired time evolutions. Microscale phenomena are often driven by even smaller scale dynamics, requiring multiscale system definitions ... -
Model-Form and Parameter Uncertainty Quantification in Structural Vibration Simulation Using Fractional Derivatives
(American Society of Mechanical Engineers (ASME), 2019)Extensive research has been devoted to engineering analysis in the presence of only parameter uncertainty. However, in modeling process, model-form uncertainty arises inevitably due to the lack of information and knowledge, ... -
In-Plane and Out-of-Plane Elastodynamics of Thin Rings and Seals
(American Society of Mechanical Engineers (ASME), 2019)Thin curved rings used mostly as seals, including in internal combustion engines undergo complex elastodynamic behavior when subjected to a combination of normal radial loading and tangential shear with friction. In turn, ... -
Bursting, Dynamics, and Circuit Implementation of a New Fractional-Order Chaotic System With Coexisting Hidden Attractors
(The American Society of Mechanical Engineers (ASME), 2019)Systems with hidden attractors have been the hot research topic of recent years because of their striking features. Fractional-order systems with hidden attractors are newly introduced and barely investigated. In this ... -
Threshold Dynamics and Bifurcation of a State-Dependent Feedback Nonlinear Control Susceptible–Infected–Recovered Model1
(The American Society of Mechanical Engineers (ASME), 2019)A classic susceptible–infected–recovered (SIR) model with nonlinear state-dependent feedback control is proposed and investigated in which integrated control measures, including vaccination, treatment and isolation, are ... -
Insight Into the Drift Motion of a Bouncing Asymmetric Dimer
(The American Society of Mechanical Engineers (ASME), 2019)The drift motion of an asymmetric dimer bouncing on a harmonically vibrating plate is addressed in this paper. The direction of this motion is determined by the behavior of the dimer during a double impact. Namely, if the ... -
Multi-Objective Model Updating Optimization Considering Orthogonality
(The American Society of Mechanical Engineers (ASME), 2019)The coordinate orthogonality check (CORTHOG) and multi-objective optimization considering pseudo-orthogonality as an objective function are introduced to overcome several limitations present in current model updating ... -
Numerical Algorithms for Simulation of One-Dimensional Mechanical Systems With Clearance-Type Nonlinearities
(The American Society of Mechanical Engineers (ASME), 2019)In many mechanical systems there are nonlinearities of clearance type. This type of nonlinearity often causes problems with convergence and accuracy in simulations, due to the discontinuities at impact. For systems with ... -
Hierarchical Multiscale Modeling of Tire–Soil Interaction for Off-Road Mobility Simulation
(The American Society of Mechanical Engineers (ASME), 2019)A high-fidelity computational terrain dynamics model plays a crucial role in accurate vehicle mobility performance prediction under various maneuvering scenarios on deformable terrain. Although many computational models ... -
Multidimensional Approximation of Nonlinear Dynamical Systems
(The American Society of Mechanical Engineers (ASME), 2019)A key task in the field of modeling and analyzing nonlinear dynamical systems is the recovery of unknown governing equations from measurement data only. There is a wide range of application areas for this important instance ... -
Mode Analysis on Onset of Turing Instability in Time-Fractional Reaction-Subdiffusion Equations by Two-Dimensional Numerical Simulations
(The American Society of Mechanical Engineers (ASME), 2019)There are two types of time-fractional reaction-subdiffusion equations for two species. One of them generalizes the time derivative of species to fractional order, while in the other type, the diffusion term is differentiated ... -
A Mechanical Model Based on Conformal Strain Energy and Its Application to Bending and Buckling of Nanobeam Structures
(The American Society of Mechanical Engineers (ASME), 2019)In the present work, a nonlocal model based on the conformal strain energy, utilizing the conformable derivative definition, has been obtained. The model has two additional free parameters compared to the classical (local) ... -
Adaptive Synchronization of Complex Dynamical Networks in Presence of Coupling Connections With Dynamical Behavior
(The American Society of Mechanical Engineers (ASME), 2019)In this paper, the synchronization of complex dynamical networks (CDNs) is investigated, where coupling connections are expressed in terms of state-space equations. As it is shown in simulation results, such links can ... -
Dynamical Analysis of Coupled Bidirectional FitzHugh–Nagumo Neuronal Networks With Multiple Delays
(The American Society of Mechanical Engineers (ASME), 2019)Coupled neuronal networks have received considerable attention due to their important and extensive applications in science and engineering. This paper focuses on the nonlinear dynamics of delay-coupled bidirectional ... -
Solving Two-Dimensional Variable-Order Fractional Optimal Control Problems With Transcendental Bernstein Series
(The American Society of Mechanical Engineers (ASME), 2019)This paper studies two-dimensional variable-order fractional optimal control problems (2D-VFOCPs) having dynamic constraints contain partial differential equations such as the convection–diffusion, diffusion-wave, and ...