Update README.md

README.md

@@ -7,102 +7,102 @@ These Python programs can be downloaded from GitHub at
 
 
 
-DWH.py: 
-	Biased double well.
+* DWH.py: 
+	* Biased double well.
 
-DampedDriven.py: 
-	Driven-damped oscillators.  Options are: driven-damped pendulum and driven-damped double well potential.  Plots a two-dimensional Poincaré section.
+* 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.  (See: https://galileo-unbound.blog/2020/10/18/the-ups-and-downs-of-the-compound-double-pendulum/)
+* DoublePendulum.py: 
+	* Double pendulum.  (See: https://galileo-unbound.blog/2020/10/18/the-ups-and-downs-of-the-compound-double-pendulum/)
 
-Duffing.py: 
-	Duffing oscillator.
+* Duffing.py: 
+	* Duffing oscillator.
 
-FlipPhone.py: 
-	Flipping iPhone simulator. (See https://galileo-unbound.blog/2021/10/10/physics-of-the-flipping-iphone-and-the-fate-of-the-earth/.)
+* FlipPhone.py: 
+	* Flipping iPhone simulator. (See https://galileo-unbound.blog/2021/10/10/physics-of-the-flipping-iphone-and-the-fate-of-the-earth/.)
 
-Flow2D.py: 
-	Simple flows for 2D autonomous dynamical systems.  Options are: Medio, van der Pol, and Fitzhugh-Nagumo models.
+* 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.
+* 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.
+* Flow3D.py: 
+	* Flows for 3D autonomous dynamical systems.  Options are: Lorenz, Rössler and Chua’s Circuit.
 
-GravSynch.py: 
-	Synchronization of clocks in a spaceship near a black hole.  (See: https://galileo-unbound.blog/2021/05/16/locking-clocks-in-strong-gravity/)
+* GravSynch.py: 
+	* Synchronization of clocks in a spaceship near a black hole.  (See: https://galileo-unbound.blog/2021/05/16/locking-clocks-in-strong-gravity/)
 
-gravlens.py: 
-	Gravitational lensing.  (See: https://galileo-unbound.blog/2021/04/05/the-lens-of-gravity-einsteins-rings/)
+* gravlens.py: 
+	* Gravitational lensing.  (See: https://galileo-unbound.blog/2021/04/05/the-lens-of-gravity-einsteins-rings/)
 
-Hamilton4D.py: 
-	Hamiltonian flows for 4D autonomous systems.  Options are: Henon-Heiles potential, and the crescent potential.  Plots a two-dimensional Poincaré section.
+* 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
+* Heiles.py: 
+	* Henon-Heiles and also a crescent model
 
-HenonHeiles.py: 
-	Standalone Henon-Heiles model.
+* HenonHeiles.py: 
+	* Standalone Henon-Heiles model.
 
-Hill.py: 
-	Hill potentials for 3-body problem.  (See: https://galileo-unbound.blog/2019/07/19/getting-armstrong-aldrin-and-collins-home-from-the-moon-apollo-11-and-the-three-body-problem/)
+* Hill.py: 
+	* Hill potentials for 3-body problem.  (See: https://galileo-unbound.blog/2019/07/19/getting-armstrong-aldrin-and-collins-home-from-the-moon-apollo-11-and-the-three-body-problem/)
 
-Kuramoto.py: 
-	Kuramoto synchronization of phase oscillators on a complete graph.
+* Kuramoto.py: 
+	* Kuramoto synchronization of phase oscillators on a complete graph.
 
-logistic.py: 
-	Logistic discrete map, plus some other choices.
+* logistic.py: 
+	* Logistic discrete map, plus some other choices.
 
-Lozi.py: 
-	Discrete iterated Lozi map conserves volume.
+* Lozi.py: 
+	* Discrete iterated Lozi map conserves volume.
 
-NetDynamics.py: 
-	Coupled phase oscillators on various network topologies.  Has more options than coupleNdriver.py.
+* NetDynamics.py: 
+	* Coupled phase oscillators on various network topologies.  Has more options than coupleNdriver.py.
 
-NetSIR.py: 
-	SIR viral infection model on networks
+* NetSIR.py: 
+	* SIR viral infection model on networks
 
-NetSIRS.py: 
-	SIRS viral infection model on networks
+* NetSIRS.py: 
+	* SIRS viral infection model on networks
 
-PenInverted.py: 
-	Inverted pendulum. (See: https://galileo-unbound.blog/2020/09/14/up-side-down-physics-dynamic-equilibrium-and-the-inverted-pendulum/)
+* PenInverted.py: 
+	* Inverted pendulum. (See: https://galileo-unbound.blog/2020/09/14/up-side-down-physics-dynamic-equilibrium-and-the-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.
+* 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.  (See: https://galileo-unbound.blog/2019/05/30/the-iconic-eikonal-and-the-optical-path/)
+* raysimple.py: 
+	* Eikonal equation simulator.  (See: https://galileo-unbound.blog/2019/05/30/the-iconic-eikonal-and-the-optical-path/)
 
-SIR.py: 
-	SIR homogeneous COVID-19 model (See: https://galileo-unbound.blog/2020/03/22/physics-in-the-age-of-contagion-the-bifurcation-of-covid-19/)
+* SIR.py: 
+	* SIR homogeneous COVID-19 model (See: https://galileo-unbound.blog/2020/03/22/physics-in-the-age-of-contagion-the-bifurcation-of-covid-19/)
 
-SIRS.py: 
-	SIRS homogeneous COVID-19 model (See: https://galileo-unbound.blog/2020/07/20/physics-in-the-age-of-contagion-part-4-fifty-shades-of-immunity-to-covid-19/)
+* SIRS.py: 
+	* SIRS homogeneous COVID-19 model (See: https://galileo-unbound.blog/2020/07/20/physics-in-the-age-of-contagion-part-4-fifty-shades-of-immunity-to-covid-19/)
 
-SIRWave.py: 
-	Covid-19 second wave model (See:https://galileo-unbound.blog/2020/04/06/physics-in-the-age-of-contagion-part-2-the-second-wave-of-covid-19/)
+* SIRWave.py: 
+	* Covid-19 second wave model (See:https://galileo-unbound.blog/2020/04/06/physics-in-the-age-of-contagion-part-2-the-second-wave-of-covid-19/)
 
-StandMap.py: 
-	The Chirikov map, also known as the standard map, is a discrete itereated map with winding numbers and islands of stability.
+* 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.
+* StandMapHom.py: 
+	* Homoclinic tangle for the standard map.
 
-StandMapTwist.py: 
-	The Standard Map in twist format  (See: https://galileo-unbound.blog/2019/10/14/how-number-theory-protects-you-from-the-chaos-of-the-cosmos/)
+* StandMapTwist.py: 
+	* The Standard Map in twist format  (See: https://galileo-unbound.blog/2019/10/14/how-number-theory-protects-you-from-the-chaos-of-the-cosmos/)
 
-trirep.py: 
-	Replicator dynamics in 3D simplex format.
+* trirep.py: 
+	* Replicator dynamics in 3D simplex format.
 
-UserFunction.py: 
-	Growing library of user functions
+* 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.  (See: https://galileo-unbound.blog/2018/10/27/how-to-weave-a-tapestry-from-hamiltonian-chaos/)
+* WebMap.py: 
+	* The discrete map of a periodically kicked oscillator displays a web of dynamics.  (See: https://galileo-unbound.blog/2018/10/27/how-to-weave-a-tapestry-from-hamiltonian-chaos/)
 
 (Selected Python programs can be found at the Galileo Unbound Blog Site:
 	 https://galileo-unbound.blog/tag/python-code/)