Autonomous

Nonlinear ODEs. Wrapper for emulator dynamical models

• Internal Emulators - in house ground truth equations

• External Emulators - third party models

References:

• https://en.wikipedia.org/wiki/List_of_nonlinear_ordinary_differential_equations

• https://en.wikipedia.org/wiki/List_of_dynamical_systems_and_differential_equations_topics

class neuromancer.psl.autonomous.Autoignition(exclude_norms=['Time'], backend='numpy', requires_grad=False, seed: int | Generator = 59, set_stats=True)

ODE describing pulsating instability in open-ended combustor.

• Koch, J., Kurosaka, M., Knowlen, C., Kutz, J.N., “Multiscale physics of rotating detonation waves: Autosolitons and modulational instabilities,” Physical Review E, 2021

equations(t, x)

property params

class neuromancer.psl.autonomous.Brusselator1D(exclude_norms=['Time'], backend='numpy', requires_grad=False, seed: int | Generator = 59, set_stats=True)

Brusselator

equations(t, x)

property params

class neuromancer.psl.autonomous.ChuaCircuit(exclude_norms=['Time'], backend='numpy', requires_grad=False, seed: int | Generator = 59, set_stats=True)

Chua’s circuit

• https://en.wikipedia.org/wiki/Chua%27s_circuit

• https://www.chuacircuits.com/matlabsim.php

equations(t, x)

property params

class neuromancer.psl.autonomous.DoublePendulum(exclude_norms=['Time'], backend='numpy', requires_grad=False, seed: int | Generator = 59, set_stats=True)

Double Pendulum

equations(t, x)

property params

class neuromancer.psl.autonomous.Duffing(exclude_norms=['Time'], backend='numpy', requires_grad=False, seed: int | Generator = 59, set_stats=True)

Duffing equation

equations(t, x)

property params

class neuromancer.psl.autonomous.LorenzSystem(exclude_norms=['Time'], backend='numpy', requires_grad=False, seed: int | Generator = 59, set_stats=True)

Lorenz System

• https://en.wikipedia.org/wiki/Lorenz_system#Analysis

• https://ipywidgets.readthedocs.io/en/stable/examples/Lorenz%20Differential%20Equations.html

• https://scipython.com/blog/the-lorenz-attractor/

• https://matplotlib.org/3.1.0/gallery/mplot3d/lorenz_attractor.html

equations(t, x)

property params

class neuromancer.psl.autonomous.LotkaVolterra(exclude_norms=['Time'], backend='numpy', requires_grad=False, seed: int | Generator = 59, set_stats=True)

Lotka–Volterra equations Also known as the predator–prey equations

equations(t, x)

property params

class neuromancer.psl.autonomous.Pendulum(exclude_norms=['Time'], backend='numpy', requires_grad=False, seed: int | Generator = 59, set_stats=True)

Simple pendulum

equations(t, x)

property params

class neuromancer.psl.autonomous.RosslerAttractor(exclude_norms=['Time'], backend='numpy', requires_grad=False, seed: int | Generator = 59, set_stats=True)

Rössler attractor

equations(t, x)

property params

class neuromancer.psl.autonomous.ThomasAttractor(exclude_norms=['Time'], backend='numpy', requires_grad=False, seed: int | Generator = 59, set_stats=True)

Thomas’ cyclically symmetric attractor

• https://en.wikipedia.org/wiki/Thomas%27_cyclically_symmetric_attractor

equations(t, x)

property params

class neuromancer.psl.autonomous.UniversalOscillator(exclude_norms=['Time'], backend='numpy', requires_grad=False, seed: int | Generator = 59, set_stats=True)

Harmonic oscillator

• https://en.wikipedia.org/wiki/Harmonic_oscillator

• https://sam-dolan.staff.shef.ac.uk/mas212/notebooks/ODE_Example.html

equations(t, x)

property params

class neuromancer.psl.autonomous.VanDerPol(exclude_norms=['Time'], backend='numpy', requires_grad=False, seed: int | Generator = 59, set_stats=True)

Van der Pol oscillator

• https://en.wikipedia.org/wiki/Van_der_Pol_oscillator

• http://kitchingroup.cheme.cmu.edu/blog/2013/02/02/Solving-a-second-order-ode/

equations(t, x)

property params