Handbook

Here you can download the comprehensive manual for our Model-1 analog computer. This handbook covers the basic operation of the computer.

Hier kann das Handbuch zum Analog Paradigm Model-1 Analogrechner heruntergeladen werden. Neben einer Beschreibung der einzelnen Rechenelemente enthält es auch eine Reihe praktischer Beispiele.

Click on the picture to the left to download the handbook of our hybrid controller which allows coupling a digital computer with one of our analog computers to form a powerful hybrid computer.

Textbooks

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This book is a modern treatise on analog and hybrid computer programming. It is intended to give a thorough introduction into this area. It covers the basic computing elements, Kelvin's feedback technique, time and value scaling etc. In addition to this it contains a wealth of practical programming examples ranging from simple problems such as radioactive decay to quite complex simulations like airflow over an airfoil, chaotic systems, ballistic trajectories, a double pendulum and many more. It is an ideal vade mecum for everyone interested in analog computing.

This modern book on "Analog Computing" gives a thorough account of the historic development of analog computing as well as their past and present applications, programming and much more. It is a treasure trove for all interested in this computing paradigm. (English)

Das Buch "Analogrechner: Wunderwerke der Technik - Grundlagen, Geschichte und Anwendung" behandelt neben der historischen Entwicklung der analogen Rechentechnik typische klassische und moderne Anwendungsbereiche derartiger Rechner. Darüberhinaus enthält es neben einer Einführung in die Programmierung elektronischer Analogrechner eine Reihe praktisch ausgeführter Programmierbeispiele und vieles mehr. Inhaltlich entspricht es dem oben verlinkten Werk "Analog Computing".

Application Notes

The following section contains links to analog computer application notes (humorously known as "alpacas" in-house) which describe practical applications of analog computers such as the implementation of chaotic attractors etc. This section will get extended at irregular intervals so check from time to time for new publications.

This is the first article in the series "Analog Computer Applications" by Analog Paradigm. This issue covers the so-called Rössler-attractor and its implementation on an analog computer in detail. Happy analog computing!

This second issue of "Analog Computer Applications" deals with the well-known Lorenz attractor. Happy analog computing!

This third issue of "Analog Computer Applications" describes the basics and implementation of a so-called Chua-oscillator.

The fourth issue of "Analog Computer Applications" deals with conformal mappings and the simulation of airflow around cylinders and Joukowsky airfoils.

The fifth issue of "Analog Computer Applications" describes a high-speed simulation of a bouncing ball.

"Zombie Apocalypse Now" - simulate a world infested by zombies with an analog computer.

Simulation of a damped pendulum with an external forcing function yielding chaotic behavior.

Nonlinear chaos based on an absolute value function.

Computation of a ballistic trajectory with velocity dependent drag.

Application note #10 deals with Mathieu's differential equation.

Application note #11 describes the implementation of a classic three-body problem on an analog computer. The trajectory of a satellite with infinitesimal mass crisscrossing between two fixed suns is computed.

Application note #12 deals with the simulation of the path of a charged particle within a magnetic field.

Application note #13 describes the optimization of the muzzle velocity of a shell using a prototype hybrid computer.

Application note #14 shows the simulation of Rutherford scattering, i.e. the scattering of Alpha-particles on the nuclei of a very thin gold foil.

Application note #15 deals with two "elegant chaotic" systems.

Application note #16 implements another, not too well-known chaotic attractor introduced be Edward N. Lorenz.

Application note #17 - the Aizawa attractor, an exceptionally beautiful chaotic structure.

Application note #18 - a simple joystick adapter for analog computers.

Application note #19 - a simple spacecraft simulation.

Application note #20 - simulating an (inverted) pendulum mounted on a moving cart.

Application note #21 - simulating double pendulum.

Application note #22 - solving the one-dimensional Schrödinger equation for a nonrelativistic particle.

Application note #23 - treating a partial differential equation on an analog computer by discretizing space.

Application note #24 - solving the two-dimensional heat-equation on an analog computer.

Application note #25 - A passive network for solving the two-dimensional heat equation

Application note #26 - Simulating the flight path of a simple glider on an analog computer

Application note #27 - Making music...

Application note #28 - implementing the Hindmarsh-Rose-model of neuronal bursting on an analog computer.

Application note #29: The Duffing oscillator.

Application note #30 - this application note will be the first in a little series of articles culminating in the simulation of a nuclear power plant on an analog computer. This first part described the simulation of the neutron kinetics in a U235 or Pu239 reactor.

Application note #31 - this short application note describes a simple and pretty chaotic system and its implementation on THE ANALOG THING.

Application note #32 - this application note describes a rather clever trick for computing things like mean, variance, power spectrum etc. on an analog computer.

Application note #33 shows how a clothoid (an Euler spiral) can be generated on THE ANALOG THING.

Application note #34 describes the simulation of bungee jumping with non-linear drag and a realistic bungee cord. It was written by Dr. Chris Giles and is aimed at THE ANALOG THING.

Application note #35 shows how to generate Bessel functions on THE ANALOG THING.

Application note #36 shows the solution of a quantum mechanical two-body problem with Gaussian potential.

Application note #37 describes a simple polynomial display circuit using successive integrations to generate powers of x.

Application note #38 shows how Legendre's differential equation can be solved on an analog computer.

Application note #39 shows how to find roots of nonlinear equatios using an analog computer.

Application note #40 shows how to implement the Brusselator system on THE ANALOG THING.

Application note #41 shows some experiments with Hindmarsh-Rose neurons with feedback.

Application note #42: Generating a Gaussian function.

Application note #43: A simple chaotic Sprott system for THE ANALOG THING.

Application note #44: A three time scale system exhibiting interesting spiking behavior is described in this application note.

Application note #45: This application note describes the implementation of a beautiful four-wing attractor on an analog computer. It requires three integrators, three inverters, three multipliers, and seven coefficient potentiometers.

Application note #46: This application note describes the implementation of four "new" chaotic systems.

Application note #47: Mathieu's equation revisited -- generating a stability map using a hybrid computer

Application note #48: A simple memristor model

Application note #49: Fun with the sinc()-function

Application Notes from other analog computing enthusiasts

The following section contains links to analog computer application notes written by other analog computing enthusiasts (published with permission here).

This application note, "Vertical Laser Beam Intensity Through Earth's Troposphere", was written and contributed by Michael Cimorosi.

Michael Cimorosi wrote another great application note, "Mode-Locked Gaussian Laser Power Pulse Simulation".

Michael Cimorosi's third application note deals with "Laser Power-Beaming".

Michael Cimorosi's fourth application note describes a "transient current simulation" for green LEDs.

Michael Cimorosi's fifth application note deals with a simulation of "Newton's law of heating".

How could a drone power surf on a large hydrocarbon sea on Titan? Find out in Michael Cimorosi's sixth application note: "Power Surfing on Ligeia Mare".

The seventh application note from Michael Cimorosi is titled "Navigating the Slopes of a Methane Frost-Capped Mountain on Pluto (A Simulation)".

Michael Cimorosi's eighth application note deals with a lunar touchdown problem: "Rocket propulsion: Lunar Touchdown (A Simulation)".

Michael Cimorosi's ninth application note gives a nice introduction into scaling problems for analog computers: "Newtons Law of Cooling: An Introduction to Scaling"

Michael Cimorosi analyses rocket propulsion in his tenth application note: "Rocket Propulsion: Volcanic Caldera on Titan (A Simulation)".

This little fun application note written by Michael Cimorosi describes a simple simulation with an unusual implementation of a square root based on a Babylonian approximation method: "Babylonian Mathematics, Analog Computation, and Lunar Surface Impact Speed"

"Hovering on Mars: Laser Power Beaming (A Simulation)" is Mike Cimorosi's 11th analog computer application note.

"Pendulum: A Tale of Two Terms (A Simulation)" is Mike Cimorosi's 13th analog computer application application note and shows how to simulate a mathematical pendulum by approximating the sine term with a truncated Taylor series.

"Inverting integrator"> - Mike Cimorosi describes a simple inverting integrator circuit ideally suited for first steps into the realm of analog computing.