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updated 5 days ago

Support Vector Regression by Ronnie Clark

A MATLAB implementation of Support Vector Regression (SVR). (regression, nonlinear, machine learning)

svr_trainer(xdata,ydata, c, epsilon, kernel, varargin)

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updated 3 months ago

Genetic Programming MATLAB Toolbox by Janos Abonyi

This method results in more robust and interpretable models than the classical GP method (nonlinear, dynamical system, datadriven)

gpn_evaluate(popuin,ixs,X,Y,Q,optv);

gpols_init(popusize,maxtreedepth,symbols);

gpols_lsq(fss,X,Y);

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updated 4 months ago

Multivariate Hoeffding's Phi-Squared by Ivan Medovikov

Nonparametric measure of multivariate association. (nonlinear, copulas, nonparametric)

multphi2.m

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updated 5 months ago

Rabinovich Fabrikant Equations Simulink Model by Lazaros Moysis

The Rabinovich Fabrikant nonlinear Equations in Simulink (rabinovich, fabrikant, nonlinear)

Rabinovich_Fabrikant

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updated 5 months ago

Rossler Attractor Simulink Model by Lazaros Moysis

A Simulink model for the Rossier Attractor nonlinear system. (nonlinear, chaos, chaotic solutions)

Rossler_attractor

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updated 5 months ago

The Henon Map by Lazaros Moysis

The Henon map discrete time dynamical system. (henon map, chaotic behavior, nonlinear)

Henon_map.m

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updated 5 months ago

Van der Pol Oscillator Simulink Model by Lazaros Moysis

The Van der Pol Oscillator nonlinear model in Simulink. (van der pol, oscillator, simulink)

van_der_pol_osc

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updated 5 months ago

Bilateral Filter by Suraj Kamya

Edge-preserving and noise-reducing smoothing filter for images. (bilateral filter, nonlinear, edge preserving)

[out]=IEF(orgimg,nimg,dimg)

[out]=PSN(orgimg,mimg)

[out]=bif(im,sigd,sigr,n)

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updated 5 months ago

Extended Kalman Filter by Sam Nazari

An EKF for an autonomous vehicle implemented in Simulink (kalman filter, simulink, estimation)

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updated 5 months ago

The Lorenz Attractor Simulink Model by Lazaros Moysis

The Lorenz System designed in Simulink. Two models included. (lorenz, attractor, simulink)

nonlinear_model

nonlinear_model_plot

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updated 6 months ago

EzyFit 2.42 by Frederic Moisy

A free curve fitting toolbox for Matlab (approximation, interpolation, curve)

Discover Ezyfit: A free curve fitting toolbox for Matlab

about_ef (Ezyfit Toolbox)

axis0 (Ezyfit Toolbox)

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updated 7 months ago

Positive-Definite Matrix by Muhammad Asim Mubeen

This function returns a positive-definite symmetric matrix. (matrix, matrices, nonlinear)

Spd_Mat(A)

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updated 7 months ago

Motor by Naveed

Motor using PID (nonlinear)

motor

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updated 8 months ago

Newton-Raphson solver by Mark Mikofski

Yet another solver that uses the backslash function to solve a set of non-linear equations. (mathematics, optimization, data exploration)

newtonraphson_example

newtonraphson(fun, x0, options)

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updated 8 months ago

Jacobian-Free Newton-Krylov (JFNK) method by Cheuk

Function uses JFNK to solve a system of non-linear equations (jacobianfree, newtonkrylov, jacobian)

JFNK(F, x0, epsilon, max_iter)

JV_APPROX(v, F, x)

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updated 9 months ago

General Single Step Single Solve integration algorithm by George Papazafeiropoulos

Direct linear or nonlinear explicit or implicit time integration of structural dynamics problems (central difference, average constant acce..., linear acceleration)

Bilinear_Elastic_SDOF.m

GSSSS.m

Linear_Elastic_Coulomb_SDOF.m

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updated 1 year ago

Basins of attraction by Siva Srinivas Kolukula

To plot a basin of attraction for given governing equations: x^3-y = 0 ; y^3-x = 0 (basins, attraction, basins of attraction)

NewtonRaphson(X)

BasinsofAttraction.m

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updated 1 year ago

Dynamical Systems with Applications using MATLAB by Stephen Lynch

Companion Software. (mathematics, discrete, fractals)

Program_5c(~)

Programs_17a

Programs_17b

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updated 1 year ago

Multiple curve fitting with common parameters using NLINFIT by Chen

Wrapper for NLINFIT which allows simultaneous fitting for multiple data sets with shared parameters. (fitting, multiple, nonlinear)

nlinmultifit(x_cell, y_cell, mdl_cell, beta0, options)

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updated 1 year ago

CRCBode() - Contoured Robust Controller Bode Plot Function by JD Taylor

Generate controller Bode plots with contours showing robust performance and stability metric. (robust control, control design, loop shaping)

CRCBode(wi,mPi,aPi,mCi,aCi,Wui,Wsi,mLim,aLim,cLim,control...

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updated almost 2 years ago

New ODE and DAE Solver by John Hedengren

Differential and algebraic equation solver for high-index, stiff, and mixed-integer systems. (optimization, simulation, demo)

apm(server,app,aline)

apm_get(server,app,filename)

apm_info(server,app,class,name)

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updated almost 2 years ago

Surrogate Model Optimization Toolbox by Julie

Surrogate model optimization algorithm for computationally expensive global optimization problems (global optimization, surrogate model, derivativefree)

BumpinessMinSampling(Data, maxeval, Surrogate, lambda, ga...

CandValue=PredictFunctionValues(Data,Surrogate,CandPoint,...

CandidatePointSampling(Data,maxeval,Surrogate,lambda,gamm...

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updated 2 years ago

Correlation dimension by M

For lorenz attractor (nonlinear)

ratio=d2lor(iter)

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updated 2 years ago

NIST Statistical Reference Datasets for Nonlinear Regression by Adam Gripton

MAT file of all the benchmark Nonlinear Regression problems from the NIST StRD website (nonlinear, regression, statistics)

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updated 2 years ago

Lorentzian fit by Jered Wells

LORENTZFIT fits a single- or multi-parameter Lorentzian function to data (lorentz, lorentzian, fit)

lorentzfit(x,y,p0,bounds,nparams)

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updated 2 years ago

Model Predictive Control by John Hedengren

Model Predictive Control with discrete, continuous, linear, or nonlinear models. (model predictive cont..., mpc, nonlinear)

apm(server,app,aline)

apm_info(server,app,class,name)

apm_load(server,app,filename)

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updated 2 years ago

Detrend Non-linear Data by Atul Ingle

Removes nonlinear trend from data (detrend, nonlinear, polynomial fit)

detrendnonlin(x, varargin)

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updated 2 years ago

Hammerstein Toolbox by M. RĂ©billat / R. Hennequin / A. Novak

Rapid estimation of the structural elements composing a cascade of Hammerstein models. (nonlinear, exponential sine swee..., cascade of hammerstei...)

Hammerstein_ID.m

compute_inverse_filter.m

convq.m

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updated 2 years ago

Kernel k-means by Mo Chen

kernel k-means algorithm (kernel, kmeans, clustering)

knkmeans(K,init)

spread(X, label)

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updated 2 years ago

Furuta (rotary) Pendulum by Alan Jennings

Equations of motion for a pendulum mounted on rotating base are compared to SimMechanics. (pendulum, simulation, modeling)

The equations of motion for a rotary pendulum (furuta pen...

RotPen_Test_Submitt

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updated 2 years ago

Newton's method done right by Andrew Knyazev

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

Newton(X,F,X0,varargin)

NewtonDemoRunMe.m

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updated almost 3 years ago

Optimization, Nonlinear Control, and Estimation Toolbox by John Hedengren

APM MATLAB toolbox for nonlinear control and estimation of DAE models with IPOPT (nonlinear, simulation, control)

apm(server,app,aline)

apm_info(server,app,class,name)

apm_load(server,app,filename)

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updated almost 3 years ago

Newton-Raphson Iterative Solver for Systems of Equations by John Fuller

An N-R iterative root-finder for systems of N equations and N unknowns. (newton, raphson, iterative)

nrsolve(F,dFdx,xi,tol,max_iter,varargin)

testnrsolve.m

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updated almost 3 years ago

Fractional Order Chaotic Systems by Ivo Petras

Numerical solutions of the fractional order chaotic systems. (chaos, fractional calculus, numerical solution)

[T, Y]=FO3CNN(parameters, orders, TSim, Y0)

[T, Y]=FOArneodo(parameters, orders, TSim, Y0)

[T, Y]=FOChen(parameters, orders, TSim, Y0)

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updated almost 4 years ago

Eigen Function of the Laplacian by Ambarish Jash

The main file Diffusion_Family.m gives a low dimensional embedding in 3 different ways. (signal processing, data exploration, modeling)

Diffusion_Family(data,ScaleSigma,knn,flag)

L2_distance(a,b,df)

adjacency(DATA, TYPE, PARAM);

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updated almost 4 years ago

Animated Double Pendulum by Alexander Erlich

Show animation of the double pendulum's (mostly) chaotic behavior. (physics, theoretical physics, animation)

double_pendulum(ivp, duration, fps, movie)

double_pendulum_ODE(t,x)

double_pendulum_init.m

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updated 4 years ago

Image Edge Enhancing Coherence Filter Toolbox by Dirk-Jan Kroon

Advanced 2D/3D noise removal and edge enhancing with anisotropic diffusion filtering ( Weickert ) (scheme, diffusion scheme, diffusion)

CoherenceFilter(u,Options)

D=derivatives(I,option)

I=imgaussian(I,sigma,siz)

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updated 4 years ago

secant method in nonlinear ode by Kalyan Bhattacharjee

this will find the solution of U''=k*U*U' by using taylor series 3rd order and secant method (mathematics, simulation, optimization)

math1.m

secant.m

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updated 4 years ago

GAFFE A toolbox for solving evolutionary nonlinear PDEs by Edward Grace

This toolbox implements the well known split-step Fourier technique for solving nonlinear PDEs. (pde, fft, nonlinear)

B=fftnpad(A,varargin)

DefaultDiffraction(dz,KX,X,u,U)

DefaultDiffractionFibich(dz,KX,X,u,U)

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updated 4 years ago

Kernel PCA by Ambarish Jash

Non-linear dimension reduction using kernel PCA. (signal processing, nonlinear, kernel technique)

kernelpca_tutorial(data_in,num_dim)

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updated 4 years ago

Kernel Ridge Regression by Ambarish Jash

This is ridge regression implemented using the Gaussian Kernel. (signal processing, statistics, nonlinear)

KernelRidge(in_data,out_data,test_data,lamda)

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updated 4 years ago

Dynamic Control of a Wheeled Mobile Robot by Hrishi Shah

Non-linear feedback linearization is applied to the dynamics of a wheeled mobile robot. (wheeled, mobile, robotics)

WMR_TRAJTRACK(t,X,L1,L2)

plotbot_WMR(t,X,index,txt1)

HW6_MAIN_1.m

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updated 4 years ago

Kinematic/Dynamic Control of a Two Link Manipulator by Hrishi Shah

Kinematic and Dynamic models of a Two Link Manipulator undergo non-linear feedback linearization. (nonlinear, feedback, robotics)

DYN_CL_B1(t,X)

DYN_CL_B2(t,X)

DYN_CL_B3(t,X)

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updated 4 years ago

Nonlinear Finite Difference Method by Ernesto Momox Beristain

The Finite Difference Method is employed for solving a nonlinear boundary value problem. (nonlinear, boundaryvalue, finitedifference)

f(x,y,yp)

nonlinearBVP_FDM(a,b,alpha,beta)

systemNxN(w,x,h,alpha,beta)

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updated 4 years ago

Solving non-linear (and linear) simultaneous equations with 'solve' - version 2 by Bruce Raine

symsolvesimulv2.m solves non-linear and linear (or a mix of) simultaneous equations. (mathematics, nonlinear, linear)

symsolvesimulv2(exp,coeffconsts)

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updated 4 years ago

Solving non-linear (and linear) simultaneous equations with 'solve' by Bruce Raine

symsolvesimul.m solves non-linear and linear (or a mix of) simultaneous equations. (solve, mathematics, nonlinear)

symsolvesimul(exp,coeffconsts)

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updated 4 years ago

hyperchaotic chua's system in secure communications by Thang Hoang

Cascade of 5 chua's systems and application in secure communications (chuas system, chaos, nonlinear)

hyper_5chuacircuit_secure

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updated 4 years ago

Chua's system by Thang Hoang

Simulation for chua's system (chuas system, nonlinear, chaos)

chua_system

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updated almost 5 years ago

Sugeno-Takagi-like fuzzy controller by Nassim Khaled

This is a two input one output fuzzy controller. (sugeno, fuzzy, controller)

Read_ME.m

fuzzy_system_data.m

fuzzy_controller

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updated almost 5 years ago

Log-Pearson Flood Flow Frequency using USGS 17B by Jeff Burkey

This function will calculate flood flow frequencies using published guidelines by the USGS. (statistics, hydrology, logpearson)

b17.m

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