Applications of Chaos and Nonlinear Dynamics in Engineering - Vol. 1 by Stephen Lynch

Lynch files to accompany the book. (modeling, simulink, mathematics)

sys=Hopf_System(~,x)

xdot=Chem(~,x)

xdot=Duffing(t,x)

Newton form for interpolating polynomials by Ehsan Behnam

newton_interpolation.m provides a simple tool for interpolating any function. (interpolation, newton polynomial, divided difference)

newton_interpolation(eq, degree, interval, verbose)

evalit.m (JUN 2013) by Carlos Adrian Vargas Aguilera

Evaluates a mathematical expression and rounds it accordingly to the error propagation theory. (error propagation, significant figures, precision)

evalit.m

Euler–Lagrange equation by Hitoshi Takeshita

Solve Euler–Lagrange equation automatically. (euler, lagrange, plant model)

LAI by Erwin Torreao Dassen

A linear algebra over the integers package based on layered lattices. (mathematics, lattices, linear algebra)

LAI

Finding roots of equations by Ehsan Behnam

Implementing Bisection and Newton-Raphson methods to find roots of equations (root of equations, bisection, newtonraphson)

find_one_root_by_bisectin(eq, x, intrvl, ...

newton_raphson(fx, x, intrvl)

root_bisection(fx, x, intrvl)

Analytic Circuit Solver by Raj Sodhi

Reads in text netlist and uses symbolic toolbox to provide transfer function in analytic form. (analytic circuit solv...)

abcd_calc_symbolic(file1)

transfer_func_calc(file1)

Ideal decomposition code for Structural Decomposition Analysis (SDA) by Junping Ji

Average of all n! equivalent exact decomposition forms to achieve ideal decomposition. [in Chinese] (sda, ioa, inputoutput analysis)

sdacalc.m

FUNCTION PLOTTER IN ONE VARIABLE by RAHUL RANJAN

differential, integral, and plot of default or user defined mathematical function (calculus, differentiation, integration)

FUN_PLOTTER(varargin)

FindFactors by Jose Victor

Find factors of a symbolic expression. It generalizas coeffs for non polinomials (robotics, symbolic, factorization)

[Factors,Res]=FindFactors(Term,Vector);

FELICITY by Shawn Walker

Finite ELement Implementation and Computational Interface Tool for You (finite element method, modeling, mathematics)

Coarse_Square_Codim_1()

CompareFiles(File1,File2)

Convert_Interp_script_to_MEX(Main_Dir,Iscript,MEX_FileName)

RootFinding Demo by Teja Muppirala

A demo of root-finding using Newton’s Method. ニュートン法を用いて解の探索を行うデモです (teaching, newtons method, roots)

RootFinding Demo

Divergence-Curl Demo by Teja Muppirala

A simple, easy-to-use visualization tool for vector fields. ベクトル場の発散、回転を可視化表示します (curl, field, vector)

Divergence-Curl Demo

RGDS_Practical_Guide by Ronald/Daniel

The location for programs linked to the book <title> that will be published 2013. (simulation, pharmaceutical)

PK1IV1a

PK1IV1b

PK1IV1c

Nearest Neighbor Spatial Weights Matrix by Patrick Walsh

uses x,y coordinates to produce one of several types of nearest-neighbor spatial weight matrix. (spatial econometrics, spatial weights matri..., nearest neighbor)

S=nnSWM(xcoord,ycoord,N,Contig,RowStdOpt)

Modelling and Simulation of Kuka kr6 robot. by Rohit Mishra

A fully working Matlab Simulation of KUKA KR6 robot with Direct kinematic Parameters is done. (6 axis robot, vrml, robotic manipulator)

KUKA_GUI(varargin)

direct(q1,q2,q3,q4,q5,q6)

MatLab Solutions: "Introduction to Digital Signal Processing: A Computer Laboratory Textbook". by Ilias Konsoulas

These files are the MatLab solutions of exercises contained in the above DSP lab textbook. (digital signal proces..., gabor transform, chirp ztrans)

AD_DA(x,Xmin,Xmax,Levels)

conv_DHT(x,h)

diffft(x)

ensemble kalman filter by dwight nwaigwe

This program uses the ensemble kalman filter to estimate a system's state. (ensemble kalman filte..., kalman filter, state estimation)

ensemblekfilter(f,h,x_tr,x_ini,w,z,num_iterations)

Dynamical Systems with Applications using MATLAB by Stephen Lynch

Companion Software. (chaos, nonlinear, mathematics)

Program_5c(~)

Programs_17a

Programs_17b

Transient Heat Conduction by Ye Cheng

This MATLAB App provides a GUI to study transient and steady-state heat conductions. (app, heat transfer, conduction)

transientConduction

transientConductionGUI(varargin)

Comparing different methods to solve an Inverted Pendulum problem by Roni Peer

A simple reporting tool that shows how you can model an inverted pendulum in a few methods. (report, comparison, mupad)

Dynamics of a Single Link

example_syms.m

SLSingleLink

OPTRAGEN by Raktim Bhattacharya

Optragen is a parser which translates optimal control problems to nonlinear programming problems. (motion planning, optimal control, optimization)

createArgList(OutputSequence)

createGuess(x,hl,Xval);

createMFunction(OutputSequence,Cin,tag,ProbName,ParamList)

Using Analytical Tools to Gain Insight and Speed-up Num. Analysis in MATLAB & Symbolic Math Toolbox by Deepak

files from the webinar (symbolic, eigenvalues, poles)

JetThrust(t)

Mass(time, rocketStartTime, engineOffTime)

aerodynamicDrag(v)

Gyroscope-Gyrocompass by karlosgk

Numerical solution of gyroscope-gyrocompass Lagrange equations (large rotations, euler angles, gyroscope gyrocompass)

F=gyroscope(t,x,flag,L,R1,R2,R3,g,m,m1,m2,m3)

gyroscope_equations.m

gyroscope_plot.m

Double spherical pendulum by karlosgk

Numerical solution of double spherical pendulum Lagrange equations along with their analytical form (large rotations, chaotic motion, double spherical pend...)

doublependulum3D(t,x,flag,l1,l2,m1,m2,g)

doublependulum3D_equations.m

doublependulum3D_plot.m

Numerical Inverse Laplace Transform by Tucker McClure

Numerical approximation of the inverse Laplace transform for use with any function defined in "s". (inverse laplace trans..., laplace, talbot)

Examples of Numerical Approximation of the Inverse Laplace ...

euler_inversion(f_s, t, M)

euler_inversion_sym(f_s, t, M, P)

Gaussian Elimination & Inverse Matrix Finder by Mohammed Al-Mostafa

Gaussian Elimination with pivoting& Inverse Matrix Finder using determinant and Gaussian elimination (matrix, mathematics)

Numerical.m

MathExplorer: Learning Maths using MuPAD for Engineering Students by Martin Brown

A set of MuPAD notebooks which allow engineering students to visualize and experiment with maths. (mathematics, learning mathematics, symbolic maths)

Uniform Filter Bank by Iman

This function can be used to design a uniform filter bank with M subbands. (optimization, signal processing, uniform filter bank)

P=P_NPR(M,m,m1)

PR_Nguyen.m

[c,ceq]=confun(h)

Approximate Steering of a Unicycle Under Bounded Model Perturbation Using Ensemble Control by Aaron Becker

Steers unicycle despite model perturb. scaling speed & turning rate by unknown, bounded constant. (ensemble control, nonholonomic unicycle, motionplanning)

EnsembleControlUnicycleUnderBoundedModelPerturbation

3 shot dynamic balancing by Muhammad Tauha Ali

it gives exact position and amount of mass to be added or removed for dynamic balancing (dynamic balancing, displacement, utilities)

3 shot dynamic balancing

shot3(varargin)

sexy by Naor Movshovitz

Display a symbolic expression in a human readable form. Extension of the built-in pretty function. (symbolic math, pretty, symolic expression)

sexy(s)

Teaching Numerical Gradients and Hessians by Brendan Wood

Simple, well-commented Matlab code to demonstrate how to take numerical derivatives and Hessians. (teaching, learning, derivative)

fun(X, NFV)

num_grad(func, X, NFV, h)

num_hess(func, X, NFV, h)

Automatic Solution and Log Linearisation of DSGE Models by Tom Holden

Code to analytically log linearise DSGE models in Matlab. Requires the symbolic toolbox. (dsge, economics, macroeconomics)

LogLin.m

Automated Eigenvalue analysis of SD models by Ahmed Abdelgawad

Identifying dominant behavior patterns, links and loops: Automated Eigenvalue analysis of SD models. (system dynamics, eigenvalue analysis, dominant behavior pat...)

allcycsn(a)

allpathn(from,to,a)

analysis( modelObjectsStructVector , constantsVector , cons...

Optimization in MATLAB: An Introduction to Quadratic Programming by Seth DeLand

Files used in "An Introduction to Quadratic Programming" Webinar (fmincon, nonlinear programming, nonlinear optimizatio...)

Hess(in1)

calculateValue(s0,price,inFlow,turbFlow,spillFlow,C2A,n)

createPlots(turbFlow,spillFlow,inFlow,price,s0,C2A,n)

Symbolic Autocorrelation by Atul Ingle

Autocorrelation of a vector of symbolic variables (symbolic, autocorrelation)

sym_autocorr(seqLen)

Least Squares Curve Fitting by Muhammad Tauha Ali

Graphical interfacing of least squares (plotted curves, data, polynomial)

curve_fitting(varargin)

Symbolic Discrete Delta Function by Atul Ingle

Discrete delta function for symbolic operations (discrete delta, symbolic)

symIndicator(o1, o2, varargin)

Multivariable Polynomial Regression by Ahmet Cecen

Performs polynomial regression on multidimensional data. (polynomial regression, multivariable regress..., statistics)

MultiPolyRegress(Data,R,PW,PV)

Newton's method done right by Andrew Knyazev

Newton's method for solving systems of nonlinear equations, including nonsquare and inconsistent (demo, newton, modeling)

Newton(X,F,X0,varargin)

NewtonDemoRunMe.m

MATLAB en zijn Symbolic Math Toolbox by Tjibbele Miedema

Leergang voor geïnteresseerden in de Computeralgebra - Systemen MATLAB en zijn Symbolic Math Toolbox (mathematics)

Angl_Vectors(R, S)

Are_Orthogonal(R, S)

Area(r)

Display symbolic expression in web browser. by Joerg Buchholz

CUTE(EXPRESSION) displays the symbolic (or string) EXPRESSION in the standard web browser. (display, symbolic, latex)

cute (expression)

Using S-Parameters in MATLAB & Simulink by Dick Benson

Example of rf amplifier design using S parameters in both MATLAB and Simulink. (rf, sparameter, network)

s_extract(file_name,fmin,fmax,df)

show8505a

showssresults

ODE Tutorial Demo by Andrew Knyazev

Advanced examples of using the MATLAB Symbolic Math Toolbox for Ordinary Differential Equations (ode, symbolic, movies)

ODEtutorial.m

Routh's array in symbolic way by Carlos Mario Velez Sanchez

Routh's array of symbolic polinomials. It is different for similar functions in Matlab Central. (control design, stability, hurwitz)

routh_hurwitz.m

Jury's array in symbolic way by Carlos Mario Velez Sanchez

The function gives the Jury's array from a numerical or SYMBOLIC polynomial (includes special cases) (control design, mathematics, stability)

jury.m

MotifCatcher by Phillip Seitzer

a MATLAB GUI platform for determination and evaluation of biologically significant motifs (motif, positionspecific scor..., scoring matrix)

...

MC_CompareOccurrenceAndLocalization(MotifMap)

MC_GetFPDir

Symbolic reduction of block diagrams and signal flow graphs by Carlos Mario Velez Sanchez

Symbolic reduction of block diagrams and signal flow graphs using Sysmbolic Math Toolbox. (block diagram, signal flow graphs, control)

Block_diagram_reduction.m

Improving MATLAB® performance when solving financial optimization problems by Jorge Paloschi

Jorge Paloschi,PHD and Sri Krishnamurthy,CFA May 2011, http://www.wilmott.com/magazine.cfm (optimization, finance, symbolic)

OptimizationWithSymbolicToolboxDemo()

vectorize(s)