state final trust game the tournament
winner would be crowned Duke or Duchess
a pre elementary school chess the game
intensified Bishop to e5 rook to h7
Queen to d8 checkmate trust is an
intellectual sport one that challenges
Minds players memorized openings
attempting to get into the thoughts of
their opponents and then try to identify
a pattern crucial for victory during
that fateful game I found the pattern
first ever since I was little I’ve
reduced complex systems to their
simplest forms this may not be an
obvious talent like playing the violin
but as the way my mind works
it lets me make other make connections
that many other people often cannot for
example I’ve recognized patterns while
playing basketball a player’s futures
position in relation to mine the
repeating nature of a called play an
intercepted basketball from its path and
the classroom out studying the Fibonacci
series I started noticing how patterns
can be cleanly expressed through
mathematics 1 1 2 3 5 and so on the
pattern here is that each subsequent
number is the sum of the two before
clearly in high school I began
understanding how mathematics is
synonymous with assigns patterns a
collection of everyday out everyday
algorithms with everyday applications
derivatives a simple repeating pattern
of the power quotient and chain rules
help me solve for the average rate in
kinetics problems the geometric series
helped produce the spending multiplier
equation within macroeconomics through
mathematics I began to see that there
was a pattern and everything a few years
ago when I was in upstate New York a
butterfly landed on my arm the butterfly
flaunted its wings as if it was trying
to woo me it did the blue dot on the
Left mirrored the one on the right the
royal purple seemed to be committed with
in command with its powerful voice the
hint of green on the tip of each wing
displayed the butterfly’s wealth its
wings were beautiful it had symmetry and
had patterns when my friends took me
surfing for the first time I look for
the patterns in the waves out at sea
waves tend to be chaotic but when they
reach land they form sets of repeating
waves
the old time for a surfer to catch that
gnarly wave I waited for the set one
friend took off in the first wave the
eyestrain caught the second one the
third wave was mine
I began paddling hard stroke one stroke
to stroke five stroke nine the wave grew
in size I thought to myself keep
paddling you can do this one stroke
after another almost there now get up on
the board I couldn’t do it I felt out of
tune I cannot keep enough to the
patterns of my stroke I bailed but now
let’s see if we can try to create our
own pattern can everyone do me a favor
alright so the point here is that
everyone’s claps began to synchronize
after some time it actually didn’t occur
to me that you’re going to increase your
frequency which was also the same
occurrence that was done by Steven
Strogatz of Cornell University an
academic who inspired my research on the
pattern of synchronization
synchronization is the operation of two
or more things occurring at the same
time array it is how distinct systems
can look coordinated behavior to act as
one uniform whole synchronization
creates a source of order within the
complexity of everyday life each
individual has an internal system that
can lock with one another if the
attraction reaches a certain point of
strength allowing the two to coordinate
in unison the natural tendencies for
single oscillators to synchronize can be
egg nematic but it’s also quite an
abundant in nature think of a planet as
it rotates around the Sun in this case
the planet is considered an oscillator
understanding the core of
synchronization in its applications may
help us make a better understand a world
that is increasingly complex within
nature synchronization is ubiquitous it
can occur among gatherings of animals
such as starlings herring and fireflies
in a school of fish there are few rules
that create synchrony first the
creatures are only aware of their
nearest neighbors second the creatures
line up in one direction third they are
attracted to one another but maintain a
certain distance between them these
three rules were to create near perfect
synchronization between creatures
however when a predator comes a
disruption occurs and fish tend to be
chaotic but eventually they’ll resync
the same goes for a flock of birds
inanimate objects have a different way
of synchronizing these objects have
coupled oscillators that interact with
each other to synchronize the attraction
between oscillators are called couple
forces couple forces are when the force
one oscillator interacts with a force of
another interacting by internal wall
vibrations pendulum clocks will become
uniformly rhythmic within a certain
amount of time in this case both
oscillators are able to synchronize so
that it matches the other becoming a
coupled oscillator within our body and
even brain cells mathematicians and
physicists are continuing to discover
different oscillator
systems contrast to the nearest neighbor
interactions that occur in a school of
fish or a flock of birds cells in a
human body
interact with every other similar cell
also known as all – all interactions to
illustrate human pace making cells
interact in unison to create a
senatorial node which is essential to
the synchronization of the heartbeat and
to keep us alive within cognitive
science neural oscillations that
resemble uncouple and D synchronized
states are seen in victims with dementia
beginning to understand the significance
of synchronization led me to ponder a
couple of questions what are the
underlining principles that caused this
wonderment of collective behavior can
understanding synchronization and
collective behavior help discover the
workings of some complex systems that
once seemed unfathomable for instance
and defying a pattern help explain how
galaxies interact or is the universe
expanding at random curious I began
doing some research researchers have
studied the underpinnings of
synchronization and great death and many
mathematical models were generated in
temps to confirm this phenomenon using
these models researchers have been
analyzing nonlinear interactions and
their relation to the connection of
oscillators a nonlinear system is a
system in which the output and input are
not directly proportional to each other
in other words the output of the system
can be unpredictable to the given input
for my research I chose to study the
cure modal model a mathematical model
that allows for more exact and less
chaotic solutions the cure modal
equation represents all – all oscillator
interactions I’ve seen in many and not
many objects and biological systems this
equation is the cure modal model in its
most general form many of you are
probably thinking how the heck is that
simplified don’t work try not to bore
you with too many mathematical details
we began my research I quickly found a
pattern to visualise imagine three
pendulums as oscillators that are
separated equidistantly for each number
of pendulums I found that no matter what
the frequencies are the cling strength
will be the same frequencies is the
number of oscillators oscillations per
second the coupling strength establishes
the fourth is attraction between the
pendulums ultimately causing them to
synchronize for three pendulums
the increasing coupling strength for
each increase in frequency distance is
point one seven upon identifying this
mathematical pattern I knew there had to
be some sort of relationship I became
eager to find out more after deriving
equations maximizing functions in
manipulating other calculus computations
I had finally found a pattern between
the number of oscillators and coupling
strengths needed for a system of
all-to-all interactions to become
synchronized this is the equation I
produced graphing the relationship
between the calculated coupling strength
and the laters for also all interaction
I noted the coupling strengths needed
for a system to become is a horizontal
asymptote of 2 over pi this was by Kerr
Emoto himself for the nearest neighbor
interactions or the interactions done by
school of fish or a flock of birds I
found that as more oscillators or more
fish enter a system the coupling
strengths needed for that system to
synchronize becomes increased as the
number of oscillators or fish approaches
infinity secret occur the date my
research and it’s pattern to the
question proposed earlier on whether
synchrony and collective behavior can
help discover the workings of some
complex systems I believe that it can
within Conant assign synchronization is
present with an epilepsy and a
hyperactive state can be an onset of a
seizure to solve this hyperactive state
can implantable chip that detects the
onset of hyper hyper synchronization be
invented maybe so can my equation be
proved beneficial in the invention of
this chip possibly hypothetically once
the chip identifies that the coupling
strength is approaching the critical
point of hyper synchronization it would
shock the brain out of this lock state D
synchronizing it in addition this chip
could help pass implantable chips and
Parkinson’s disease all in all the
pattern of synchronization affords me a
sense of unification and understanding
in a world once seeming so complex
and chaotic I can finally accept the
idea of how even the most bewildering
relationships could be solved through a
simplistic system of patterns from what
you have learned today I want you to
remember one thing there is a pattern
and everything synchronization is my
pattern what is yours
thank you [Music]