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Chaotic Attractors in 3D ODEs

This repository contains code for generating data from chaotic attractors in 3D ordinary differential equations (ODEs) based on the models presented in Phys. Rev. E 50, R647 (1994). The code includes cases (A, B, C) for experimentation and analysis.

Features

  • Generates time series data from chaotic attractors in 3D ODEs.
  • Option to customize the initial condition (IC), integration time (T), step size (dt) of the ODE solver.

Wave equation in 1D

This repository also contains code for solving the 1D wave equation using d'Alembert's formula. If the spatial domain is discretized in N_x points and the data is sampled at N_t + 1 timesteps, the time series data constists of N_t + 1 snapshots of dimension N_x containing the solution of the wave equation.

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Generation of trajectories of chaotic attractors in 3D ODEs.

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