Journal of Computational and Nonlinear Dynamics: Recent submissions
Now showing items 1141-1160 of 1786
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New Result on Finite Time Stability of Fractional Order Nonlinear Delayed Systems
(The American Society of Mechanical Engineers (ASME), 2015)Since Lyapunov method has not been well developed for fractionalorder systems, stability of fractionalorder nonlinear delayed systems remains a formidable problem. In this letter, finitetime stability of a class of ... -
The Control and Synchronization of a Rotational Relativistic Chaotic System With Parameter Uncertainties and External Disturbance
(The American Society of Mechanical Engineers (ASME), 2015)This paper investigates the control and synchronization of a rotational relativistic chaotic system with parameter uncertainties and external disturbance. By using the proper coordinate transformation, some novel criteria ... -
Matrix Methods in the Design Analysis of Mechanisms and Multibody Systems
(The American Society of Mechanical Engineers (ASME), 2015)This book is focused on presenting detailed formulations for the kinematic and dynamic modeling of mechanism and multibody systems (MBS). It is written by three wellknown and recognized authors who made significant ... -
On a Numerical Approach to Solve Multi Order Fractional Differential Equations With Initial/Boundary Conditions
(The American Society of Mechanical Engineers (ASME), 2015)In this manuscript, a new method is introduced for solving multiorder fractional differential equations. By transforming the fractional differential equations into an optimization problem and using polynomial basis functions, ... -
Traveling Wave Solutions to Riesz Time Fractional Camassa–Holm Equation in Modeling for Shallow Water Waves
(The American Society of Mechanical Engineers (ASME), 2015)In the present paper, we construct the analytical exact solutions of a nonlinear evolution equation in mathematical physics, viz., Riesz timefractional Camassa–Holm (CH) equation by modified homotopy analysis method ... -
Adaptive Control for Fractional Order Micro Electro Mechanical Resonator With Nonsymmetric Dead Zone Input
(The American Society of Mechanical Engineers (ASME), 2015)This paper deals with the adaptive control of fractionalorder microelectromechanical resonator system (FOMEMRS) with nonsymmetric deadzone nonlinear input. The slope parameters of the deadzone nonlinearity are unmeasured ... -
Galerkin Approximations for Stability of Delay Differential Equations With Distributed Delays
(The American Society of Mechanical Engineers (ASME), 2015)Delay differential equations (DDEs) are infinitedimensional systems, therefore analyzing their stability is a difficult task. The delays can be discrete or distributed in nature. DDEs with distributed delays are referred ... -
Numerical Solution of High Order Fractional Volterra Integro Differential Equations by Variational Homotopy Perturbation Iteration Method
(The American Society of Mechanical Engineers (ASME), 2015)In this paper, variational homotopy perturbation iteration method (VHPIM) has been applied along with Caputo derivative to solve highorder fractional Volterra integrodifferential equations (FVIDEs). The “VHPIM†is ... -
New Results to a Three Dimensional Chaotic System With Two Different Kinds of Nonisolated Equilibria
(The American Society of Mechanical Engineers (ASME), 2015)In the paper by Liu et al. (2009, “A Novel ThreeDimensional Autonomous Chaos System,†Chaos Solitons Fractals, 39(4), pp. 1950–1958), the threedimensional (3D) chaotic system xآ·=axey2,yآ·=bykxz,zآ·=cz+mxy is ... -
Global Analysis of Gravity Gradient Satellite's Pitch Motion in an Elliptic Orbit
(The American Society of Mechanical Engineers (ASME), 2015)Pitch motion of a gravity gradient satellite in an elliptical orbit is studied. The cell mapping method is employed to find periodic solutions and analyze the global behavior of the system. Stability characteristics of the ... -
Bifurcation Transition and Nonlinear Response in a Fractional Order System
(The American Society of Mechanical Engineers (ASME), 2015)We extend a typical system that possesses a transcritical bifurcation to a fractionalorder version. The bifurcation and the resonance phenomenon in the considered system are investigated by both analytical and numerical ... -
A New Generalized Type of Synchronization for Discrete Time Chaotic Dynamical Systems
(The American Society of Mechanical Engineers (ASME), 2015)In this paper, a new type of chaos synchronization in discretetime is proposed by combining matrix projective synchronization (MPS) and generalized synchronization (GS). This new chaos synchronization type allows us to ... -
A Novel Lattice Model on a Gradient Road With the Consideration of Relative Current
(The American Society of Mechanical Engineers (ASME), 2015)In this paper, a novel lattice model on a singlelane gradient road is proposed with the consideration of relative current. The stability condition is obtained by using linear stability theory. It is shown that the stability ... -
Solving Nonlinear Fractional Integro Differential Equations of Volterra Type Using Novel Mathematical Matrices
(The American Society of Mechanical Engineers (ASME), 2015)In this paper, the operational matrix of Euler functions for fractional derivative of order خ² in the Caputo sense is derived. Via this matrix, we develop an efficient collocation method for solving nonlinear fractional ... -
Fuzzy Speed Control of Networked Motion Control Systems
(The American Society of Mechanical Engineers (ASME), 2015)This paper proposed an integrated scheme for the modeling and control of induction motors in the networked environment. The networked control system (NCS) is built in hierarchical structure, which consists of a networked ... -
A Deflated Assembly Free Approach to Large Scale Implicit Structural Dynamics
(The American Society of Mechanical Engineers (ASME), 2015)The primary computational bottleneck in implicit structural dynamics is the repeated inversion of the underlying stiffness matrix. In this paper, a fast inversion technique is proposed by merging four distinct but complementary ... -
The Use of the Adjoint Method for Solving Typical Optimization Problems in Multibody Dynamics
(The American Society of Mechanical Engineers (ASME), 2015)The present paper illustrates the potential of the adjoint method for a wide range of optimization problems in multibody dynamics such as inverse dynamics and parameter identification. Although the equations and matrices ... -
Nonlinear Dynamics of a Rotating Flexible Link
(The American Society of Mechanical Engineers (ASME), 2015)This paper deals with the study of the nonlinear dynamics of a rotating flexible link modeled as a one dimensional beam, undergoing large deformation and with geometric nonlinearities. The partial differential equation of ... -
Novel Hyperchaotic System and Its Circuit Implementation
(The American Society of Mechanical Engineers (ASME), 2015)It is very important to generate hyperchaos with more complicated dynamics as a model for theoretical research and practical application. A new hyperchaotic system with double piecewiselinear functions in state equations ... -
Stability Analysis of Sliding–Grazing Phenomenon in Dry Friction Oscillator Using Takagi–Sugeno Fuzzy Approach
(The American Society of Mechanical Engineers (ASME), 2015)Dryfriction oscillators are mechanical systems with dry friction and stickslip vibrations. In the context of control theory, the stability analysis of this type of dynamical systems is important since they exhibit nonsmooth ...