Volume 8 Issue 4 | J. Comput. Nonlinear Dynam.

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Research Papers

Nonlinear Model Identification From Multiple Data Sets Using an Orthogonal Forward Search Algorithm

Ping Li, Hua-Liang Wei, Stephen A. Billings, Michael A. Balikhin, Richard Boynton

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041001. doi: https://doi.org/10.1115/1.4023864

Abstract

View articletitled, Nonlinear Model Identification From Multiple Data Sets Using an Orthogonal Forward Search Algorithm

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Topics: Algorithms , Errors , Modeling

Almost Periodic Solutions for a Class of Stochastic Differential Equations

Yongjian Liu, Aimin Liu

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041002. doi: https://doi.org/10.1115/1.4023914

Abstract

View articletitled, Almost Periodic Solutions for a Class of Stochastic Differential Equations

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Topics: Artificial neural networks , Differential equations , Stochastic processes , Theorems (Mathematics) , Probability , Design , Signal processing , Stability

Efficient Parallel Simulation of Large Flexible Body Systems With Multiple Contacts

Naresh Khude, Ilinca Stanciulescu, Daniel Melanz, Dan Negrut

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041003. doi: https://doi.org/10.1115/1.4023915

Abstract

View articletitled, Efficient Parallel Simulation of Large Flexible Body Systems With Multiple Contacts

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Topics: Collisions (Physics) , Computation , Graphics processing units , Pendulums , Simulation , Displacement

Nonlinear Dynamic Probabilistic Analysis for Turbine Casing Radial Deformation Using Extremum Response Surface Method Based on Support Vector Machine

Chengwei Fei, Guangchen Bai

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041004. doi: https://doi.org/10.1115/1.4023589

Abstract

View articletitled, Nonlinear Dynamic Probabilistic Analysis for Turbine Casing Radial Deformation Using Extremum Response Surface Method Based on Support Vector Machine

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Topics: Deformation , Support vector machines , Response surface methodology , Turbines

Robust Stability and Stabilization of Fractional Order Systems Based on Uncertain Takagi-Sugeno Fuzzy Model With the Fractional Order $1 \leq v < 2$

Li Junmin, Li Yuting

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041005. doi: https://doi.org/10.1115/1.4023739

Abstract

View articletitled, Robust Stability and Stabilization of Fractional Order Systems Based on Uncertain Takagi-Sugeno Fuzzy Model With the Fractional Order <span class="inline-formula no-formula-id"><span class="mathFormula"></span><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><mn>1</mn><mo>≤</mo><mi>v</mi><mi> </mi><mo><</mo><mi> </mi><mn>2</mn></mrow></math></span>

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Topics: Stability , Takagi–Sugeno fuzzy models

Constrained Optimization Shooting Method for Predicting the Periodic Solutions of Nonlinear System

Haitao Liao

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041006. doi: https://doi.org/10.1115/1.4023916

Abstract

View articletitled, Constrained Optimization Shooting Method for Predicting the Periodic Solutions of Nonlinear System

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Topics: Algorithms , Optimization , Nonlinear systems , Stability , Vibration

Passive Dynamic Biped Walking—Part I: Development and Validation of an Advanced Model

Derek Koop, Christine Q. Wu

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041007. doi: https://doi.org/10.1115/1.4023934

Abstract

View articletitled, Passive Dynamic Biped Walking—Part I: Development and Validation of an Advanced Model

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Topics: Friction , Simulation

Passive Dynamic Biped Walking—Part II: Stability Analysis of the Passive Dynamic Gait

Derek Koop, Christine Q. Wu

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041008. doi: https://doi.org/10.1115/1.4023933

Abstract

View articletitled, Passive Dynamic Biped Walking—Part II: Stability Analysis of the Passive Dynamic Gait

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Topics: Algorithms , Angular momentum , Stability , Center of mass , Geometry

Intrinsic Localized Modes of Harmonic Oscillations in Nonlinear Oscillator Arrays

Takashi Ikeda, Yuji Harata, Keisuke Nishimura

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041009. doi: https://doi.org/10.1115/1.4023866

Abstract

View articletitled, Intrinsic Localized Modes of Harmonic Oscillations in Nonlinear Oscillator Arrays

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Topics: Bifurcation , Excitation , Frequency response , Oscillations , Springs , Vibration , Steady state , Elastic constants

Complex Orthogonal Decomposition Applied to Nematode Posturing

B. F. Feeny, P. W. Sternberg, C. J. Cronin, C. A. Coppola

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041010. doi: https://doi.org/10.1115/1.4023548

Abstract

View articletitled, Complex Orthogonal Decomposition Applied to Nematode Posturing

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Topics: Noise (Sound) , Wavelength , Waves , Cycles , Signals , Oscillations , Whirls , Standing waves

Global Bifurcations of Mean Electric Field in Plasma L–H Transition Under External Bounded Noise Excitation

C. Nono Dueyou Buckjohn, M. Siewe Siewe, C. Tchawoua, T. C. Kofane

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041011. doi: https://doi.org/10.1115/1.4024025

Abstract

View articletitled, Global Bifurcations of Mean Electric Field in Plasma L–H Transition Under External Bounded Noise Excitation

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Topics: Noise (Sound) , Plasmas (Ionized gases) , Poincaré maps , Homoclinic orbits , Chaos , Electric fields , Bifurcation , Dynamics (Mechanics)

Numerical Stability Analysis of Linear Incommensurate Fractional Order Systems

Sambit Das, Anindya Chatterjee

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041012. doi: https://doi.org/10.1115/1.4023966

Abstract

View articletitled, Numerical Stability Analysis of Linear Incommensurate Fractional Order Systems

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Topics: Matlab , Numerical stability , Polynomials , Stability , Galerkin method , Eigenvalues , Computation

Finite Element Modeling of the Contact Geometry and Deformation in Biomechanics Applications

F. Marina Gantoi, Michael A. Brown, Ahmed A. Shabana

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041013. doi: https://doi.org/10.1115/1.4024541

Abstract

View articletitled, Finite Element Modeling of the Contact Geometry and Deformation in Biomechanics Applications

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Topics: Biomechanics , Deformation , Finite element analysis , Geometry , Knee , Modeling , Algorithms , Kinematics

Equivalence of History-Function Based and Infinite-Dimensional-State Initializations for Fractional-Order Operators

Tom T. Hartley, Carl F. Lorenzo, Jean-Claude Trigeassou, Nezha Maamri

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041014. doi: https://doi.org/10.1115/1.4023865

Abstract

View articletitled, Equivalence of History-Function Based and Infinite-Dimensional-State Initializations for Fractional-Order Operators

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Topics: Differential equations , Laplace transforms , Impulse (Physics)

Subharmonic Resonance Cascades in a Class of Coupled Resonators

B. Scott Strachan, Steven W. Shaw, Oleg Kogan

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041015. doi: https://doi.org/10.1115/1.4024542

Abstract

View articletitled, Subharmonic Resonance Cascades in a Class of Coupled Resonators

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Topics: Cascades (Fluid dynamics) , Chain , Resonance , Bifurcation , Steady state

Three-Dimensional Fully Parameterized Triangular Plate Element Based on the Absolute Nodal Coordinate Formulation

Abdel-Nasser A. Mohamed

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041016. doi: https://doi.org/10.1115/1.4024729

Abstract

View articletitled, Three-Dimensional Fully Parameterized Triangular Plate Element Based on the Absolute Nodal Coordinate Formulation

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Topics: Cantilevers , Deformation , Pendulums , Shapes , Equations of motion

Visualizing Non-Linear Control System Performance by Means of Multidimensional Scaling

J. A. Tenreiro Machado

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041017. doi: https://doi.org/10.1115/1.4024540

Abstract

View articletitled, Visualizing Non-Linear Control System Performance by Means of Multidimensional Scaling

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Topics: Control systems , Nonlinear control systems , Signals , Dimensions

The Use of Generalized Laguerre Polynomials in Spectral Methods for Solving Fractional Delay Differential Equations

M. M. Khader

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041018. doi: https://doi.org/10.1115/1.4024852

Abstract

View articletitled, The Use of Generalized Laguerre Polynomials in Spectral Methods for Solving Fractional Delay Differential Equations

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Topics: Delay differential equations , Polynomials

Two-Dimensional Nonlinear Analysis of an Untethered Spherical Buoy Due to Wave Loading

Zach Ballard, Brian P. Mann

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041019. doi: https://doi.org/10.1115/1.4024887

Abstract

View articletitled, Two-Dimensional Nonlinear Analysis of an Untethered Spherical Buoy Due to Wave Loading

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Topics: Buoys , Waves , Equations of motion , Fluids

Time-Fractional Camassa–Holm Equation: Formulation and Solution Using Variational Methods

Youwei Zhang

J. Comput. Nonlinear Dynam. October 2013, 8(4): 041020. doi: https://doi.org/10.1115/1.4024970

Abstract

View articletitled, Time-Fractional Camassa–Holm Equation: Formulation and Solution Using Variational Methods

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Topics: Variational techniques , Waves

Research Papers

Nonlinear Model Identification From Multiple Data Sets Using an Orthogonal Forward Search Algorithm

Almost Periodic Solutions for a Class of Stochastic Differential Equations

Efficient Parallel Simulation of Large Flexible Body Systems With Multiple Contacts

Nonlinear Dynamic Probabilistic Analysis for Turbine Casing Radial Deformation Using Extremum Response Surface Method Based on Support Vector Machine

Robust Stability and Stabilization of Fractional Order Systems Based on Uncertain Takagi-Sugeno Fuzzy Model With the Fractional Order $1 \leq v < 2$

Constrained Optimization Shooting Method for Predicting the Periodic Solutions of Nonlinear System

Passive Dynamic Biped Walking—Part I: Development and Validation of an Advanced Model

Passive Dynamic Biped Walking—Part II: Stability Analysis of the Passive Dynamic Gait

Intrinsic Localized Modes of Harmonic Oscillations in Nonlinear Oscillator Arrays

Complex Orthogonal Decomposition Applied to Nematode Posturing

Global Bifurcations of Mean Electric Field in Plasma L–H Transition Under External Bounded Noise Excitation

Numerical Stability Analysis of Linear Incommensurate Fractional Order Systems

Finite Element Modeling of the Contact Geometry and Deformation in Biomechanics Applications

Equivalence of History-Function Based and Infinite-Dimensional-State Initializations for Fractional-Order Operators

Subharmonic Resonance Cascades in a Class of Coupled Resonators

Three-Dimensional Fully Parameterized Triangular Plate Element Based on the Absolute Nodal Coordinate Formulation

Visualizing Non-Linear Control System Performance by Means of Multidimensional Scaling

The Use of Generalized Laguerre Polynomials in Spectral Methods for Solving Fractional Delay Differential Equations

Two-Dimensional Nonlinear Analysis of an Untethered Spherical Buoy Due to Wave Loading

Time-Fractional Camassa–Holm Equation: Formulation and Solution Using Variational Methods

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