Nonlinear Dynamics

SUNDIALS (SUite of Nonlinear and DIfferential/ALgebraic equation Solvers). SUNDIALS consists of the following four solvers: - CVODE solves initial value problems for ordinary differential equation (ODE) systems. - CVODES solves ODE systems and includes sensitivity analysis capabilities... Platforms: *nix

LAMMPS project is a Molecular Dynamics Simulator. LAMMPS has potentials for soft materials (biomolecules, polymers) and solid-state materials (metals, semiconductors) and coarse-grain systems. It can be used to model atoms or, more generically, as a parallel particle simulator at the mesoscale... Platforms: *nix

The software system solves constrained nonlinear parameter estimation problems. Synonyms are data fitting, nonlinear regression, parameter identification, curve and surface fitting. A statistical analysis provides confidence intervals, correlation and covariance matrices, identification of... Platforms: Windows

MagicPlot is a handy tool for scientific and engineer data processing, plotting and nonlinear fitting. MagicPlot is powerful enough and consistent. Advantages * Compact: Single file ~2 MB * Multilevel undo function for all actions * Useful plot navigation and scaling * Visual nonlinear... Platforms: All

MagicPlot is a handy tool for scientific and engineer data processing, plotting and nonlinear fitting. MagicPlot is powerful enough and consistent. Advantages * Compact: Single file ~2 MB * Multilevel undo function for all actions * Useful plot navigation and scaling * Visual nonlinear... Platforms: All

The program is intended for simulation of kinematics and dynamics of planar and spatial mechanical systems. The program is intended for using by students and teachers for educational purposes as well as design engineers for express analysis of designed mechanisms in their everyday work. It does... Platforms: Windows

Fityk [fi:tik] is a program for data processing and nonlinear curve fitting. It is primarily used... * by scientists who analyse data from powder diffraction, chromatography, photoluminescence and photoelectron spectroscopy, infrared and Raman spectroscopy, and other experimental techniques,... Platforms: Windows, Mac, *nix, C/C++, BSD Solaris

The entire game uses the ODE (Open Dynamics Engine) library for realistic game physics. Platforms: C and C plus plus

This 15-line matlab program solves the nonlinear reactiondiffusion equation, called Kolmogorov-Petrovskii-Piskunov(KPP) equation to generate patterns (ribbons and rings).The numerical method is simple and program is easy tounderstand, and it can be extended to simulatedmore complex systems. The... Platforms: Matlab

The function LMFsolve.m serves for finding optimal solution of an overdetermined system of nonlinear equations in the least-squares sense. The standard Levenberg- Marquardt algorithm was modified by Fletcher and coded in FORTRAN many years ago. LMFsolve is its essentially shortened version... Platforms: Matlab

L-BFGS-B is a collection of Fortran 77 routines for solving nonlinear optimization problems with bound constraints on the variables. One of the key features of the nonlinear solver is that the Hessian is not needed. I've designed an interface to the L-BFGS-B solver so that it can be called like... Platforms: Matlab

Golden Section search for minimizing a nonlinear function in one dimensionDavidon-Fletcher-Powell (DFP) method. This is a method to solve an unconstrained nonlinear program Platforms: Matlab

GANSO is a programming library for global and nonsmooth, nonlinear optimization. Unlike local methods (e.g., quasi-Newton), global optimization methods aim at locating the absolute minimum of a function, not the nearest stationary point. GANSO toolbox provides an interface for calling GANSO... Platforms: Matlab

Measures of Analysis of Time Series (MATS) toolkit computes a number of different measures of analysis of scalar time series (linear, nonlinear and other statistical measures). It also contains pre-processing tools (transformations and standardizations), data splitting facility, resampled data... Platforms: Matlab

The Kalman filter can be interpreted as a feedback approach to minimize the least equare error. It can be applied to solve a nonlinear least square optimization problem. This function provides a way using the unscented Kalman filter to solve nonlinear least square optimization problems. Three... Platforms: Matlab

MATLAB is one of the best pedagogical software tools to illustrate and visualize concepts in engineering programs. Considering the vast influence of this software on control engineering, teaching "MATLAB & Simulink for Dynamic System Analysis & Control" is of paramount importance in undergraduate... Platforms: Matlab

Based on the concept of the Taylor Table given in Fundamentals of Computational Fluid Dynamics by Lomax, Pulliam, and Zingg.Given the terms of the point operator, "TaylorTable" will determine the coefficients of the terms which minimizes the Taylor series error. It will also determine the Taylor... Platforms: Matlab

The function The LMFnlsq.m serves for finding optimal solution of an overdetermined system of nonlinear equations in the least-squares sense. The standard Levenberg- Marquardt algorithm was modified by Fletcher and coded in FORTRAN many years ago (see the Reference). This version of LMFnlsq is... Platforms: Matlab

Single tank system nonlinear model was develop & finding the operating point of it using script file of the matlab with solving of ode for it and ploting the response Platforms: Matlab

process from the Book of Smith, Corripio - Automatic Process ControlContent:+ m-file linearization of nonlinear model+ m-file definition of the nonlinear model+ simulink models for the simulation of the process Platforms: Matlab