Applications of Chaos
One must still have chaos in oneself to be able to give birth to a dancing star. - Friedrich Nietzsche -
Tao is natural order of things...
Hun Tun - Primal state, mother of the universe, a state of undifferentiated potential and infinite possibility.
"There is something Chaotic yet complete, which existed before the creation of heaven and earth. Without sound and formless, it stands alone and does not change. It pervades all and is free from danger; it can be regarded then as the mother of the world. I do not know its proper name but will call it Tao."
Tao te Ching, chapter 25
Lao Tzu
Hun Tun is a primordial confusion that is pregnant
Nature view
Nature is self organizing, no need for a god to create order from disorder.
How systems synchronize themselves.
Order inside of chaos very much in the spirit of Tao.
Tao is natural order of things...
Hun Tun - Primal state, mother of the universe, a state of undifferentiated potential and infinite possibility.
"There is something Chaotic yet complete, which existed before the creation of heaven and earth. Without sound and formless, it stands alone and does not change. It pervades all and is free from danger; it can be regarded then as the mother of the world. I do not know its proper name but will call it Tao."
Tao te Ching, chapter 25
Lao Tzu
Hun Tun is a primordial confusion that is pregnant
Nature view
Nature is self organizing, no need for a god to create order from disorder.
How systems synchronize themselves.
Order inside of chaos very much in the spirit of Tao.
Biological Rhythms
What are these biological rhtyhms for
and how do they work at the molecular level...
How these rhthms happen in time
1) Epilespy - 50 million people.. convulse..
Precursors.. auras ... something there before the seizure.
Lights, taste, sound
Dog will alert
Too much rhythmicity is not good in the brain.
***Seizure is NOT more chaos it is LESS
Lyapunov exponent - a measure of the butterfly effect.
Lee-app-uh-noff
Rate of exponential growth.
Drops abruptly when the seizure starts, means butterfly effect drops off, means periodicity s
Brain Activity becomes less chaotic and starts to synchronize before a seizure.
Curves come together from different electrodes.. line up in amplitude and phase.
T-index - measures amount of synchronization.
Only see it by looking at it through chaos...
Cardiac Arrhythmias - irregularities of the heart's electrical activity.
Ventricular fillibration -- can cause death...
Killer and we don't see it.
Slippery slimy wormy feeling.
Fibrillation a form of chaos?
How much can chaos theory tell us about arrythmias.
Benign periodicity... nudging chaos into periodicity (controlling chaos).
Allen Garfuncle...
2. Pacemakers in the heart.
Is there an iterated or logistic map?
Inter-beat interval map
Interval between beats (x-axis) vs next interval y-axis.
Stabilized onto period 3... Intervals between betweens is period 3.
Control system onto periodicity...
Periodic pacing... nudge into periodicity
driving it ... does not work.
Finesse vs force...
Burn the heart (blast heart with paddles)... HIGH intensity PEMF.
Complex in space and time... lies beyond edge of chaos... spirals of energy
and how do they work at the molecular level...
How these rhthms happen in time
1) Epilespy - 50 million people.. convulse..
Precursors.. auras ... something there before the seizure.
Lights, taste, sound
Dog will alert
Too much rhythmicity is not good in the brain.
***Seizure is NOT more chaos it is LESS
Lyapunov exponent - a measure of the butterfly effect.
Lee-app-uh-noff
Rate of exponential growth.
Drops abruptly when the seizure starts, means butterfly effect drops off, means periodicity s
Brain Activity becomes less chaotic and starts to synchronize before a seizure.
Curves come together from different electrodes.. line up in amplitude and phase.
T-index - measures amount of synchronization.
Only see it by looking at it through chaos...
Cardiac Arrhythmias - irregularities of the heart's electrical activity.
Ventricular fillibration -- can cause death...
Killer and we don't see it.
Slippery slimy wormy feeling.
Fibrillation a form of chaos?
How much can chaos theory tell us about arrythmias.
Benign periodicity... nudging chaos into periodicity (controlling chaos).
Allen Garfuncle...
2. Pacemakers in the heart.
Is there an iterated or logistic map?
Inter-beat interval map
Interval between beats (x-axis) vs next interval y-axis.
Stabilized onto period 3... Intervals between betweens is period 3.
Control system onto periodicity...
Periodic pacing... nudge into periodicity
driving it ... does not work.
Finesse vs force...
Burn the heart (blast heart with paddles)... HIGH intensity PEMF.
Complex in space and time... lies beyond edge of chaos... spirals of energy
Is Chaos a Sign of Health in the Body?
When chaos occurs in the body,
Doctors refer to arrhytmias as chaos.
In medical textbooks there is this revered idea of homeostasis... keeping the body flat or on an even keel.
(Even keel. noun. balanced, as a ship is floating on its designated waterline and the keel is horizontal; by extension, to have a calm even disposition.)
The body has all kinds of control mechanisms for evening out disturbances.
Sorta like a thermostat, if the temperature goes too high, turn on the air conditioner, if too low turn on the heat... Trying to regulate the heart.
Goldberger - cardiologist. Mastered ideas of chaos and fractals.
He likes to show a Graph of four patients.
How much their heartrate is changing from moment to moment.
#1 Congestive heart failure.. Very steady heartbeat.
Reduced outflow... fluid in lungs...
3. Heart failure
Cheyne-stokes breathing
4. Atrial fibrillation - too much randomness
#3 - Chaotic and dancelike rhythm
Homeostatis
Doctors refer to arrhytmias as chaos.
In medical textbooks there is this revered idea of homeostasis... keeping the body flat or on an even keel.
(Even keel. noun. balanced, as a ship is floating on its designated waterline and the keel is horizontal; by extension, to have a calm even disposition.)
The body has all kinds of control mechanisms for evening out disturbances.
Sorta like a thermostat, if the temperature goes too high, turn on the air conditioner, if too low turn on the heat... Trying to regulate the heart.
Goldberger - cardiologist. Mastered ideas of chaos and fractals.
He likes to show a Graph of four patients.
How much their heartrate is changing from moment to moment.
#1 Congestive heart failure.. Very steady heartbeat.
Reduced outflow... fluid in lungs...
3. Heart failure
Cheyne-stokes breathing
4. Atrial fibrillation - too much randomness
#3 - Chaotic and dancelike rhythm
Homeostatis
Controlling Chaos
Chaos is a friend and ally.
Engineers hated chaos.
1990 - Embrace chaos and see if some use can be made of its unique properties.
Controlling Chaos
Tiny nudges to a chaotic system can have huge effects... These system are HIGHLY responsive.
Chaotic system can AMPLIFY small disturbances and YOU CAN USE THAT.
Controlling Chaos - in a chaotic system that has a strange attractor.
In addition to the chaotic motion around the attractor...
There are also Periodic orbits that exactly repeat.
Unstable... pencil balancing on its point... reverse pendulum...pencil.
So there is a kind of order than can be used... the periodicity...
IF it can be stabilize... Don't have to man handle the system to be periodic with a domination driving frequency. All you have to do is nudge it into periodic orbits with a small push.
There are infinitely many..
Infinite library of periodic motions if you can stabilize them.
Periodicity nature and inherent... Just nudge it into periodicity with little kicks. Then it would come off, then you could flick it back on... Reverse pendulum (Segways). Very gentle and control it on periodic paths.
Delicate
Stabilize a chaotic laser...
Team led by Rajarshi Roy Georgia Tech
Chaotic laser.. not a steady beam of light... chaotic pulsations.
Lasers prone to instabilities... Pumped it too hard it would oscillate and become chaotic.
Either low power or built in stabilities.
Nice constant beam.
Old instabilities in lasers might
Drive laser to much higher power than normal...
Harnessing chaos
F-16 fighter - unstable to enhance maneuverability. Computer built in to make split second adjustments.
Fly by wire. Quadruple redundant.
Controlling chaos with flight to moon...
Fuzzy region
Engineers hated chaos.
1990 - Embrace chaos and see if some use can be made of its unique properties.
Controlling Chaos
Tiny nudges to a chaotic system can have huge effects... These system are HIGHLY responsive.
Chaotic system can AMPLIFY small disturbances and YOU CAN USE THAT.
Controlling Chaos - in a chaotic system that has a strange attractor.
In addition to the chaotic motion around the attractor...
There are also Periodic orbits that exactly repeat.
Unstable... pencil balancing on its point... reverse pendulum...pencil.
So there is a kind of order than can be used... the periodicity...
IF it can be stabilize... Don't have to man handle the system to be periodic with a domination driving frequency. All you have to do is nudge it into periodic orbits with a small push.
There are infinitely many..
Infinite library of periodic motions if you can stabilize them.
Periodicity nature and inherent... Just nudge it into periodicity with little kicks. Then it would come off, then you could flick it back on... Reverse pendulum (Segways). Very gentle and control it on periodic paths.
Delicate
Stabilize a chaotic laser...
Team led by Rajarshi Roy Georgia Tech
Chaotic laser.. not a steady beam of light... chaotic pulsations.
Lasers prone to instabilities... Pumped it too hard it would oscillate and become chaotic.
Either low power or built in stabilities.
Nice constant beam.
Old instabilities in lasers might
Drive laser to much higher power than normal...
Harnessing chaos
F-16 fighter - unstable to enhance maneuverability. Computer built in to make split second adjustments.
Fly by wire. Quadruple redundant.
Controlling chaos with flight to moon...
Fuzzy region
Encryption
Prime Numbers
Chaos sounds noisy
Chaos has auditory dimension.
Sounds like noise, white noise because contains all frequencies.
Like White Light
Sine wave pure tone...
Noise good for conceiling information.
1) use chaos as a mask
2) use chaos as a carrier.
Sine wave one frequency
Chaos infinitely many frequency
Synchronization needed to transmit and receive messages.
Locked into same frequency
When you listen to the radio, you have to tune in to a particular station.
That locks your receiver, your radio onto the frequency of the broadcast transmission.
Once the synchrony is established, than the song on the radio is extracted so you can hear it by a process called electrical engineers call demodulation. They have to demodulate the song from the radio wave that is carrying it...
Can we synchronize NOT sine waves, but chaotic systems.
How can you have chaos in sync... Butterfly effect snowballs differences...
True only if systems were independent... But what if systems linked together somehow.
Nothing that forbids two systems to be chaotic and in sync.
Drive chaos with chaos... Chaotic
Signal buried under hiss of noise (Mariah)
Mask only was transimitted.... Just subtract off the mask and all left was song.
Unmask the message.
Raj Roy...
Sweet gentle and kind person.
Sees good in everything.
Extend chaotic encryption through lasers and fiber optics.
Optical version of the message.
Masked by wild fluctuations of lasers.
150 million bits per sec.
Optical communincations must faster.
Chaos sounds noisy
Chaos has auditory dimension.
Sounds like noise, white noise because contains all frequencies.
Like White Light
Sine wave pure tone...
Noise good for conceiling information.
1) use chaos as a mask
2) use chaos as a carrier.
Sine wave one frequency
Chaos infinitely many frequency
Synchronization needed to transmit and receive messages.
Locked into same frequency
When you listen to the radio, you have to tune in to a particular station.
That locks your receiver, your radio onto the frequency of the broadcast transmission.
Once the synchrony is established, than the song on the radio is extracted so you can hear it by a process called electrical engineers call demodulation. They have to demodulate the song from the radio wave that is carrying it...
Can we synchronize NOT sine waves, but chaotic systems.
How can you have chaos in sync... Butterfly effect snowballs differences...
True only if systems were independent... But what if systems linked together somehow.
Nothing that forbids two systems to be chaotic and in sync.
Drive chaos with chaos... Chaotic
Signal buried under hiss of noise (Mariah)
Mask only was transimitted.... Just subtract off the mask and all left was song.
Unmask the message.
Raj Roy...
Sweet gentle and kind person.
Sees good in everything.
Extend chaotic encryption through lasers and fiber optics.
Optical version of the message.
Masked by wild fluctuations of lasers.
150 million bits per sec.
Optical communincations must faster.