Merge branch 'master' of https://github.itap.purdue.edu/nolte/Python-…

…Programs-for-Nonlinear-Dynamics

README.md

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-# Python-Programs
+# Python-Programs
+
+Python Scripts for 2D, 3D and 4D Flows
+
+These Python programs can be downloaded from GitHub at
+	https://github.rcac.purdue.edu/nolte/Python-Programs-for-Nonlinear-Dynamics
+
+
+
+DampedDriven.py
+	Driven-damped oscillators.  Options are: driven-damped pendulum and driven-damped double well potential.  Plots a two-dimensional Poincaré section.
+
+DoublePendulum.py
+	Double pendulum.
+
+Duffing.py
+	Duffing oscillator.
+
+DWH.py
+	Biased double well.
+
+Flow2D.py
+	Simple flows for 2D autonomous dynamical systems.  Options are: Medio, van der Pol, and Fitzhugh-Nagumo models.
+
+Flow2DBorder.py
+	Same as Flow2D.py but with initial conditions set on the boarder of the phase portrait.
+
+Flow3D.py
+	Flows for 3D autonomous dynamical systems.  Options are: Lorenz, Rössler and Chua’s Circuit.
+
+gravlens.py
+	Gravitational lensing
+
+Hamilton4D.py
+	Hamiltonian flows for 4D autonomous systems.  Options are: Henon-Heiles potential, and the crescent potential.  Plots a two-dimensional Poincaré section.
+
+Heiles.py
+	Henon-Heiles and also a crescent model
+
+HenonHeiles.py
+	Standalone Henon-Heiles model.
+
+Hill.py
+	Hill potentials for 3-body problem.
+
+Kuramoto.py
+	Kuramoto synchronization of phase oscillators on a complete graph.
+
+logistic.py
+	Logistic discrete map, plus some other choices.
+
+Lozi.py
+	Discrete iterated Lozi map conserves volume.
+
+NetDynamics.py
+	Coupled phase oscillators on various network topologies.  Has more options than coupleNdriver.py.
+
+NetSIR.py
+	SIR viral infection model on networks
+
+NetSIRS.py
+	SIRS viral infection model on networks
+
+PenInverted.py
+	Inverted pendulum.
+
+Perturbed.py
+	Driven undampded oscillators with a plane-wave perturbation.  Options are: pendulum and double-well potential.  These are driven nonlinear Hamiltonian systems.  When driven at small perturbation amplitude near the separatrix, chaos emerges.  These systems do not conserve energy, because there is a constant input and output of energy as the system reacts against the drive force.  Plots a two-dimensional Poincaré section.
+
+raysimple.py
+	Eikonal equation simulator.
+
+SIR.py
+	SIR homogeneous COVID-19 model
+
+SIRS.py
+	SIRS homogeneous COVID-19 model
+
+SIRWave.py
+	Covid-19 second wave model
+
+StandMap.py
+	The Chirikov map, also known as the standard map, is a discrete itereated map with winding numbers and islands of stability.
+
+StandMapHom.py
+	Homoclinic tangle for the standard map.
+
+StandMapTwist.py
+	The Standard Map in twist format
+
+trirep.py
+	Replicator dynamics in 3D simplex format.
+
+UserFunction.py
+	Growing library of user functions
+		linfit.py – linear regression function
+
+WebMap.py
+	The discrete map of a periodically kicked oscillator displays a web of dynamics.
+
+(Selected Python programs can be found at the Galileo Unbound Blog Site:
+	 https://galileo-unbound.blog/tag/python-code/)
+
+