Dynamical systems

Nonlinear algorithm for controlling dynamical systems, particularly where linear methods fail. in matlab

The following Matlab project contains the source code and Matlab examples used for nonlinear algorithm for controlling dynamical systems, particularly where linear methods fail. . The enclosed files provide a nonlinear algorithm for controlling dynamical systems, particularly in regimes where linear control methods often fail, such as the targeting of states that are distant in phase space from the system dynamics (e.

Quirk multibody dynamics package in matlab

The following Matlab project contains the source code and Matlab examples used for quirk multibody dynamics package. QuIRK is an interactive Matlab command line interface for constructing systems of rigid bodies and joint constraints, solving the equations of motion of those systems when subject to various force expressions, displaying and animating solved systems, and extracting information about the state history and energetics of those systems.

The circular restricted three body problem in matlab

The following Matlab project contains the source code and Matlab examples used for the circular restricted three body problem. This is a special case of the general three-body problem where the primary and secondary bodies move in circular orbits about the common center of mass, and the effect of the gravitational attraction of the smallest body and any other perturbations such as solar radiation pressure are ignored.

Double spherical pendulum in matlab

The following Matlab project contains the source code and Matlab examples used for double spherical pendulum. The mfile 'doublependulum3D_plot' produces: -Generalized coordinates, velocities/time (spherical angles) -Phase subspaces -Energies/time -Generalized momenta/time -Simulation: double spherical pendulum motion The mfile 'doublependulum3D_equations' offers: -Lagrange equations (symbolic form) -Explicit form of generalized accelerations (symbolic form) -Generalized momenta (symbolic form) The function 'doublependulum3D' includes: -System 8x8 of 1st order ODEs.

Gyroscope gyrocompass in matlab

The following Matlab project contains the source code and Matlab examples used for gyroscope gyrocompass. The mfile 'gyroscope_plot' produces: -Generalized coordinates, velocities/time (euler angles 313) -Phase subspaces -State space -Energies/time -Generalized momenta/time -Simulation: symmetry axis path The mfile 'gyroscope_equations' offers: -Lagrange equations(symbolic form) -Explicit form of generalized accelerations(symbolic form) -Generalized momenta(symbolic form) The function 'gyroscope' includes: -System 6x6 of 1st order ODE

Recurrence quantification analysis (rqa) in matlab

The following Matlab project contains the source code and Matlab examples used for recurrence quantification analysis (rqa). Recurrence quantification analysis (RQA) of recurrence plots (RPs) Referrences: G Ouyang, X Li, C Dang, DA Richards, Using recurrence plot for determinism analysis of EEG recordings in genetic absence epilepsy rats, Clinical Neurophysiology 119 (8), 1747-1755 G Ouyang, X Zhu, Z Ju, H Liu, Dynamical Characteristics of Surface EMG Signals of Hand Grasps via Recurrence Plot, IEEE Journal of Biomedical and Health Informatics, 18 (1), 257 - 265 .

Lagrangian mechanics, 2 points conected with rod in matlab

The following Matlab project contains the source code and Matlab examples used for lagrangian mechanics, 2 points conected with rod. http://simulations.narod.ru/ there are two masses connected with rod. x y φ describe system state. Lagrangian was made and 6 1st order differential equations to integrate numerically with Euler method. run zz_2_obj_lagrangian_test.m to see animation or here: http://www.youtube.com/watch?v=4h1iDNiDbiI
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