Volume 7 Issue 3 | J. Comput. Nonlinear Dynam.

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Volume 7, Issue 3

July 2012

ISSN 1555-1415

EISSN 1555-1423

Research Papers

Different Types of Instabilities and Complex Dynamics in Reaction-Diffusion Systems With Fractional Derivatives

Vasyl Gafiychuk, Bohdan Datsko

J. Comput. Nonlinear Dynam. July 2012, 7(3): 031001. doi: https://doi.org/10.1115/1.4005923

Abstract

View articletitled, Different Types of Instabilities and Complex Dynamics in Reaction-Diffusion Systems With Fractional Derivatives

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Topics: Bifurcation , Diffusion (Physics) , Dynamics (Mechanics) , Eigenvalues , Pattern formation , Stability , Computer simulation , Waves

Nonlinear Control of Hyperchaotic System, Lie Derivative, and State Space Linearization

Anirban Ray, A. RoyChowdhury, Indranil Mukherjee

J. Comput. Nonlinear Dynam. July 2012, 7(3): 031002. doi: https://doi.org/10.1115/1.4005926

Abstract

View articletitled, Nonlinear Control of Hyperchaotic System, Lie Derivative, and State Space Linearization

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Topics: Chaos , Computer simulation , Control equipment , Theorems (Mathematics) , Feedback

Dynamic Response of Multibody Systems with Multiple Clearance Joints

Paulo Flores, Hamid M. Lankarani

J. Comput. Nonlinear Dynam. July 2012, 7(3): 031003. doi: https://doi.org/10.1115/1.4005927

Abstract

View articletitled, Dynamic Response of Multibody Systems with Multiple Clearance Joints

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Topics: Clearances (Engineering) , Multibody systems , Bearings , Dynamic response

Galerkin Approximations for Higher Order Delay Differential Equations

C. P. Vyasarayani

J. Comput. Nonlinear Dynam. July 2012, 7(3): 031004. doi: https://doi.org/10.1115/1.4005931

Abstract

View articletitled, Galerkin Approximations for Higher Order Delay Differential Equations

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Topics: Delay differential equations , Galerkin method

On Delayed Logistic Equation Driven by Fractional Brownian Motion

Nguyen Tien Dung

J. Comput. Nonlinear Dynam. July 2012, 7(3): 031005. doi: https://doi.org/10.1115/1.4005932

Abstract

View articletitled, On Delayed Logistic Equation Driven by Fractional Brownian Motion

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Topics: Brownian motion , Physiology , Theorems (Mathematics)

Swing Dynamics and Input-Shaping Control of Human-Operated Double-Pendulum Boom Cranes

Ehsan Maleki, William Singhose

J. Comput. Nonlinear Dynam. July 2012, 7(3): 031006. doi: https://doi.org/10.1115/1.4005933

Abstract

View articletitled, Swing Dynamics and Input-Shaping Control of Human-Operated Double-Pendulum Boom Cranes

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Topics: Cables , Cranes , Dynamics (Mechanics) , Oscillations , Pendulums , Vibration

Intrinsic Finite Element Modeling of Nonlinear Dynamic Response in Helical Springs

Michael J. Leamy

J. Comput. Nonlinear Dynam. July 2012, 7(3): 031007. doi: https://doi.org/10.1115/1.4005820

Abstract

View articletitled, Intrinsic Finite Element Modeling of Nonlinear Dynamic Response in Helical Springs

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Topics: Springs , Finite element analysis , Dynamic response , Modeling

On Sources of Error in Finite Element Simulations of Blast Effects in the Human Brain

Krysl Petr, Mark W. Bondi, Samuel R. Ward, Lawrence R. Frank

J. Comput. Nonlinear Dynam. July 2012, 7(3): 031008. doi: https://doi.org/10.1115/1.4006143

Abstract

View articletitled, On Sources of Error in Finite Element Simulations of Blast Effects in the Human Brain

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Topics: Biological tissues , Brain , Errors , Finite element analysis , Modeling , Pressure , Simulation , Waves , Engineering simulation , Blast effect

Study of Small Scale Effects on the Nonlinear Vibration Response of Functionally Graded Timoshenko Microbeams Based on the Strain Gradient Theory

R. Ansari, R. Gholami, S. Sahmani

J. Comput. Nonlinear Dynam. July 2012, 7(3): 031009. doi: https://doi.org/10.1115/1.4006040

Abstract

View articletitled, Study of Small Scale Effects on the Nonlinear Vibration Response of Functionally Graded Timoshenko Microbeams Based on the Strain Gradient Theory

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Topics: Functionally graded materials , Microbeams , Nonlinear vibration , Strain gradient , Elasticity

Response and Stability Analysis of Periodic Delayed Systems With Discontinuous Distributed Delay

Oleg A. Bobrenkov, Morad Nazari, Eric A. Butcher

J. Comput. Nonlinear Dynam. July 2012, 7(3): 031010. doi: https://doi.org/10.1115/1.4005925

Abstract

View articletitled, Response and Stability Analysis of Periodic Delayed Systems With Discontinuous Distributed Delay

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Topics: Delays , Polynomials , Stability , Delay differential equations

On the Dynamics of Two Mutually-Coupled, Electromagnetically-Actuated Microbeam Oscillators

Andrew B. Sabater, Jeffrey F. Rhoads

J. Comput. Nonlinear Dynam. July 2012, 7(3): 031011. doi: https://doi.org/10.1115/1.4005999

Abstract

View articletitled, On the Dynamics of Two Mutually-Coupled, Electromagnetically-Actuated Microbeam Oscillators

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Topics: Microbeams , Bifurcation , Dynamics (Mechanics)

The Impulsive Action Integral for Rigid-Body Mechanical Systems With Impacts

Kerim Yunt

J. Comput. Nonlinear Dynam. July 2012, 7(3): 031012. doi: https://doi.org/10.1115/1.4006562

Abstract

View articletitled, The Impulsive Action Integral for Rigid-Body Mechanical Systems With Impacts

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Topics: Theorems (Mathematics) , Momentum

Technical Briefs

Feedback Linearizing Two-Input Control Systems

Issa A. Tall

J. Comput. Nonlinear Dynam. July 2012, 7(3): 034501. doi: https://doi.org/10.1115/1.4005930

Abstract

View articletitled, Feedback Linearizing Two-Input Control Systems

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Topics: Algorithms , Control systems , Feedback , Theorems (Mathematics)

A New Approach to Analytical Solution of Cantilever Beam Vibration With Nonlinear Boundary Condition

Hamid M. Sedighi, Kourosh H. Shirazi

J. Comput. Nonlinear Dynam. July 2012, 7(3): 034502. doi: https://doi.org/10.1115/1.4005924

Abstract

View articletitled, A New Approach to Analytical Solution of Cantilever Beam Vibration With Nonlinear Boundary Condition

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Topics: Boundary-value problems , Cantilever beams , Vibration

A New Closure Strategy for Proper Orthogonal Decomposition Reduced-Order Models

Imran Akhtar, Zhu Wang, Jeff Borggaard, Traian Iliescu

J. Comput. Nonlinear Dynam. July 2012, 7(3): 034503. doi: https://doi.org/10.1115/1.4005928

Abstract

View articletitled, A New Closure Strategy for Proper Orthogonal Decomposition Reduced-Order Models

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Topics: Eddies (Fluid dynamics) , Modeling , Principal component analysis , Viscosity , Jacobian matrices , Turbulence

Research Papers

Different Types of Instabilities and Complex Dynamics in Reaction-Diffusion Systems With Fractional Derivatives

Nonlinear Control of Hyperchaotic System, Lie Derivative, and State Space Linearization

Dynamic Response of Multibody Systems with Multiple Clearance Joints

Galerkin Approximations for Higher Order Delay Differential Equations

On Delayed Logistic Equation Driven by Fractional Brownian Motion

Swing Dynamics and Input-Shaping Control of Human-Operated Double-Pendulum Boom Cranes

Intrinsic Finite Element Modeling of Nonlinear Dynamic Response in Helical Springs

On Sources of Error in Finite Element Simulations of Blast Effects in the Human Brain

Study of Small Scale Effects on the Nonlinear Vibration Response of Functionally Graded Timoshenko Microbeams Based on the Strain Gradient Theory

Response and Stability Analysis of Periodic Delayed Systems With Discontinuous Distributed Delay

On the Dynamics of Two Mutually-Coupled, Electromagnetically-Actuated Microbeam Oscillators

The Impulsive Action Integral for Rigid-Body Mechanical Systems With Impacts

Technical Briefs

Feedback Linearizing Two-Input Control Systems

A New Approach to Analytical Solution of Cantilever Beam Vibration With Nonlinear Boundary Condition

A New Closure Strategy for Proper Orthogonal Decomposition Reduced-Order Models

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