SlideShare uma empresa Scribd logo
1 de 16
The Lorenz Weather Model Abhranil Das
One Question Sunrise on 20 Sep 2031:	5:25 AM [1] Weather on 20 Sep 2011: ? [1] : timeanddate.com
Edward Norton Lorenz Born in Connecticut Studied Mathematics at Dartmouth and Harvard Served as a forecaster in the US Army Air Corps from 1942-46 Returned to study meteorology at MIT, published good orthodox papers
“The machine, a Royal McBee, […] broke down every week or so. It had neither the speed nor the memory to manage a realistic simulation of the earth’s atmosphere and oceans. Yet Lorenz created a toy weather in 1960… Every minute the machine marked the passing of a day by printing a row of numbers across a page… Digitized cyclones spun slowly around an idealized globe.” - Chaos, James Gleick
So, weather problem solved.
Or not. “One day in the winter of 1961, wanting to examine one sequence at greater length, Lorenz took a shortcut. Instead of starting the whole run over, he started midway through. To give the machine its initial conditions, he typed the numbers straight from the earlier printout. “Then he walked down the hall to get away from the noise and drink a cup of coffee. When he returned an hour later, he saw something unexpected, something that planted a seed for a new science.”
But Nobody Cared
The Logistic Equationa biological population growth model 𝑥𝑖+1=𝑟𝑥𝑖(1−𝑥𝑖)  
Sensitive dependence on initial conditions (between 3.57 and 4) .011 .0101 .01001
.010001 .0100001 .01000001
What will I study? Simulate the Lorenz weather model (attractor) exhaustively, tweaking all parameters till I have a clear understanding. Study and compare its Butterfly Effect against the variation of different parameters Study the restoration to similarity following a period of complete deviation Study how good it is as a model of the earth’s weather system Latch on to anything else that interests me
Like this one:
References Deterministic Nonperiodic Flow Edward Lorenz, Journal of the Atmospheric Sciences, 1963 Chaos: the making of a new science James Gleick

Mais conteúdo relacionado

Destaque

WE1.L10 - USE OF NASA DATA IN THE JOINT CENTER FOR SATELLITE DATA ASSIMILATION
WE1.L10 - USE OF NASA DATA IN THE JOINT CENTER FOR SATELLITE DATA ASSIMILATIONWE1.L10 - USE OF NASA DATA IN THE JOINT CENTER FOR SATELLITE DATA ASSIMILATION
WE1.L10 - USE OF NASA DATA IN THE JOINT CENTER FOR SATELLITE DATA ASSIMILATION
grssieee
 
Yangetal Efficient Letkf
Yangetal Efficient LetkfYangetal Efficient Letkf
Yangetal Efficient Letkf
ShuChih.Yang
 
Datta-Barua, URSI AT-RASC, 2015, Canary Islands, Ionospheric-Thermospheric St...
Datta-Barua, URSI AT-RASC, 2015, Canary Islands, Ionospheric-Thermospheric St...Datta-Barua, URSI AT-RASC, 2015, Canary Islands, Ionospheric-Thermospheric St...
Datta-Barua, URSI AT-RASC, 2015, Canary Islands, Ionospheric-Thermospheric St...
Daniel Miladinovich
 
Heat & Mass Transfer Chap 1 (FE-509) Food Engineering UAF
Heat & Mass Transfer Chap 1 (FE-509) Food Engineering UAFHeat & Mass Transfer Chap 1 (FE-509) Food Engineering UAF
Heat & Mass Transfer Chap 1 (FE-509) Food Engineering UAF
Aown Rizvi
 
FINISTERRE
FINISTERREFINISTERRE
FINISTERRE
NCS
 

Destaque (20)

Data assimilation with OpenDA
Data assimilation with OpenDAData assimilation with OpenDA
Data assimilation with OpenDA
 
Hidro Modelamiento
Hidro ModelamientoHidro Modelamiento
Hidro Modelamiento
 
WE1.L10 - USE OF NASA DATA IN THE JOINT CENTER FOR SATELLITE DATA ASSIMILATION
WE1.L10 - USE OF NASA DATA IN THE JOINT CENTER FOR SATELLITE DATA ASSIMILATIONWE1.L10 - USE OF NASA DATA IN THE JOINT CENTER FOR SATELLITE DATA ASSIMILATION
WE1.L10 - USE OF NASA DATA IN THE JOINT CENTER FOR SATELLITE DATA ASSIMILATION
 
Damiano Pasetto
Damiano PasettoDamiano Pasetto
Damiano Pasetto
 
Dielectric materials
Dielectric materialsDielectric materials
Dielectric materials
 
Uncertainty Analysis and Data Assimilation of Remote Sensing Data for the Cal...
Uncertainty Analysis and Data Assimilation of Remote Sensing Data for the Cal...Uncertainty Analysis and Data Assimilation of Remote Sensing Data for the Cal...
Uncertainty Analysis and Data Assimilation of Remote Sensing Data for the Cal...
 
Yangetal Efficient Letkf
Yangetal Efficient LetkfYangetal Efficient Letkf
Yangetal Efficient Letkf
 
DSD-INT 2016 Data assimilation to improve volcanic ash forecasts using LOTOS-...
DSD-INT 2016 Data assimilation to improve volcanic ash forecasts using LOTOS-...DSD-INT 2016 Data assimilation to improve volcanic ash forecasts using LOTOS-...
DSD-INT 2016 Data assimilation to improve volcanic ash forecasts using LOTOS-...
 
Datta-Barua, URSI AT-RASC, 2015, Canary Islands, Ionospheric-Thermospheric St...
Datta-Barua, URSI AT-RASC, 2015, Canary Islands, Ionospheric-Thermospheric St...Datta-Barua, URSI AT-RASC, 2015, Canary Islands, Ionospheric-Thermospheric St...
Datta-Barua, URSI AT-RASC, 2015, Canary Islands, Ionospheric-Thermospheric St...
 
Luca Brocca seminario trento
Luca Brocca seminario trentoLuca Brocca seminario trento
Luca Brocca seminario trento
 
Dielectrics
DielectricsDielectrics
Dielectrics
 
Heat & Mass Transfer Chap 1 (FE-509) Food Engineering UAF
Heat & Mass Transfer Chap 1 (FE-509) Food Engineering UAFHeat & Mass Transfer Chap 1 (FE-509) Food Engineering UAF
Heat & Mass Transfer Chap 1 (FE-509) Food Engineering UAF
 
Uni texus austin
Uni texus austinUni texus austin
Uni texus austin
 
Dielectric and Magnetic Properties of materials,Polarizability,Dielectic loss...
Dielectric and Magnetic Properties of materials,Polarizability,Dielectic loss...Dielectric and Magnetic Properties of materials,Polarizability,Dielectic loss...
Dielectric and Magnetic Properties of materials,Polarizability,Dielectic loss...
 
Dielectrics and its applications
Dielectrics and its applicationsDielectrics and its applications
Dielectrics and its applications
 
Dielectric Material and properties
Dielectric Material and propertiesDielectric Material and properties
Dielectric Material and properties
 
Ceramic teapots -PMI Loyalty Program for Red Rose Te and Dare Biscuit
Ceramic teapots -PMI Loyalty Program for Red Rose Te and Dare BiscuitCeramic teapots -PMI Loyalty Program for Red Rose Te and Dare Biscuit
Ceramic teapots -PMI Loyalty Program for Red Rose Te and Dare Biscuit
 
Newt and salamander
Newt and salamanderNewt and salamander
Newt and salamander
 
FINISTERRE
FINISTERREFINISTERRE
FINISTERRE
 
Marketing Communications Spring 2008 Final Project
Marketing Communications Spring 2008 Final ProjectMarketing Communications Spring 2008 Final Project
Marketing Communications Spring 2008 Final Project
 

Semelhante a The Lorenz Weather Model

Edward Lorenz: The Butterfly Man
Edward Lorenz: The Butterfly ManEdward Lorenz: The Butterfly Man
Edward Lorenz: The Butterfly Man
Abhranil Das
 
The britannica guide to relativity and quantum mechanics (physics explained)
The britannica guide to relativity and quantum mechanics (physics explained) The britannica guide to relativity and quantum mechanics (physics explained)
The britannica guide to relativity and quantum mechanics (physics explained)
أحمد عبد القادر
 
Essay require minimum of 350 words with intext citation and referenc.docx
Essay require minimum of 350 words with intext citation and referenc.docxEssay require minimum of 350 words with intext citation and referenc.docx
Essay require minimum of 350 words with intext citation and referenc.docx
AlleneMcclendon878
 

Semelhante a The Lorenz Weather Model (20)

Edward Lorenz: The Butterfly Man
Edward Lorenz: The Butterfly ManEdward Lorenz: The Butterfly Man
Edward Lorenz: The Butterfly Man
 
Chaos
ChaosChaos
Chaos
 
The britannica guide to relativity and quantum mechanics (physics explained)
The britannica guide to relativity and quantum mechanics (physics explained) The britannica guide to relativity and quantum mechanics (physics explained)
The britannica guide to relativity and quantum mechanics (physics explained)
 
Does God play dice ?
Does God play dice ?Does God play dice ?
Does God play dice ?
 
Chaos theory and Butterfly effect
Chaos theory and Butterfly effectChaos theory and Butterfly effect
Chaos theory and Butterfly effect
 
isaac newton
isaac newtonisaac newton
isaac newton
 
The Pre-History of the Two Black Hole Collision Problem
The Pre-History of the Two Black Hole Collision ProblemThe Pre-History of the Two Black Hole Collision Problem
The Pre-History of the Two Black Hole Collision Problem
 
Order, Chaos and the End of Reductionism
Order, Chaos and the End of ReductionismOrder, Chaos and the End of Reductionism
Order, Chaos and the End of Reductionism
 
Modern Physics
Modern PhysicsModern Physics
Modern Physics
 
MY HOMAGE TO ALBERT EINSTEIN WHO REVOLUTIONIZED MODERN SCIENCE.pdf
MY HOMAGE TO ALBERT EINSTEIN WHO REVOLUTIONIZED MODERN SCIENCE.pdfMY HOMAGE TO ALBERT EINSTEIN WHO REVOLUTIONIZED MODERN SCIENCE.pdf
MY HOMAGE TO ALBERT EINSTEIN WHO REVOLUTIONIZED MODERN SCIENCE.pdf
 
Chapter 4 Climate change model.pptx
Chapter 4 Climate change model.pptxChapter 4 Climate change model.pptx
Chapter 4 Climate change model.pptx
 
Matthias Heymann - The climate change dilemma - big science, the globalizing ...
Matthias Heymann - The climate change dilemma - big science, the globalizing ...Matthias Heymann - The climate change dilemma - big science, the globalizing ...
Matthias Heymann - The climate change dilemma - big science, the globalizing ...
 
Lattice Energy LLC-LENRs ca 1950s-Sternglass Expts-Einstein & Bethe-Nov 25 2011
Lattice Energy LLC-LENRs ca 1950s-Sternglass Expts-Einstein & Bethe-Nov 25 2011Lattice Energy LLC-LENRs ca 1950s-Sternglass Expts-Einstein & Bethe-Nov 25 2011
Lattice Energy LLC-LENRs ca 1950s-Sternglass Expts-Einstein & Bethe-Nov 25 2011
 
Project Final
Project FinalProject Final
Project Final
 
Heart darknesshay2013lite
Heart darknesshay2013liteHeart darknesshay2013lite
Heart darknesshay2013lite
 
Essay require minimum of 350 words with intext citation and referenc.docx
Essay require minimum of 350 words with intext citation and referenc.docxEssay require minimum of 350 words with intext citation and referenc.docx
Essay require minimum of 350 words with intext citation and referenc.docx
 
M.gomu,e.esakki,m.dt
M.gomu,e.esakki,m.dtM.gomu,e.esakki,m.dt
M.gomu,e.esakki,m.dt
 
Astronomy-OP-oV0J80E-1.pptx
Astronomy-OP-oV0J80E-1.pptxAstronomy-OP-oV0J80E-1.pptx
Astronomy-OP-oV0J80E-1.pptx
 
Gravitation
GravitationGravitation
Gravitation
 
WEEK 1 MODEL OF THE UNIVERSE.pptx
WEEK 1 MODEL OF THE UNIVERSE.pptxWEEK 1 MODEL OF THE UNIVERSE.pptx
WEEK 1 MODEL OF THE UNIVERSE.pptx
 

Mais de Abhranil Das

Mais de Abhranil Das (16)

Depth estimation from stereo image pairs using block-matching
Depth estimation from stereo image pairs using block-matchingDepth estimation from stereo image pairs using block-matching
Depth estimation from stereo image pairs using block-matching
 
Derivation of the Boltzmann Transport Equation
Derivation of the Boltzmann Transport EquationDerivation of the Boltzmann Transport Equation
Derivation of the Boltzmann Transport Equation
 
The Moore-Spiegel Oscillator
The Moore-Spiegel OscillatorThe Moore-Spiegel Oscillator
The Moore-Spiegel Oscillator
 
Are Randomly Grown Graphs Really Random?
Are Randomly Grown Graphs Really Random?Are Randomly Grown Graphs Really Random?
Are Randomly Grown Graphs Really Random?
 
Active Matter and the Vicsek Model of Flocking
Active Matter and the Vicsek Model of FlockingActive Matter and the Vicsek Model of Flocking
Active Matter and the Vicsek Model of Flocking
 
Stochastic Neural Network Model: Part 2
Stochastic Neural Network Model: Part 2Stochastic Neural Network Model: Part 2
Stochastic Neural Network Model: Part 2
 
Lyapunov Exponent of Time Series Data
Lyapunov Exponent of Time Series DataLyapunov Exponent of Time Series Data
Lyapunov Exponent of Time Series Data
 
Diffusion-Limited Aggregation
Diffusion-Limited AggregationDiffusion-Limited Aggregation
Diffusion-Limited Aggregation
 
Simulating Evolution and Behaviour
Simulating Evolution and BehaviourSimulating Evolution and Behaviour
Simulating Evolution and Behaviour
 
Stochastic Neural Network Model: Part 1
Stochastic Neural Network Model: Part 1Stochastic Neural Network Model: Part 1
Stochastic Neural Network Model: Part 1
 
Perspective: the maths of seeing
Perspective: the maths of seeingPerspective: the maths of seeing
Perspective: the maths of seeing
 
Transposons: the jumping genes
Transposons: the jumping genesTransposons: the jumping genes
Transposons: the jumping genes
 
The DNA Double Helix
The DNA Double HelixThe DNA Double Helix
The DNA Double Helix
 
Cellular automata
Cellular automataCellular automata
Cellular automata
 
Hyperactivation
HyperactivationHyperactivation
Hyperactivation
 
Cellular Automata
Cellular AutomataCellular Automata
Cellular Automata
 

Último

Why Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire businessWhy Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire business
panagenda
 
Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024
Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024
Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024
Victor Rentea
 
+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...
+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...
+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...
?#DUbAI#??##{{(☎️+971_581248768%)**%*]'#abortion pills for sale in dubai@
 
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Safe Software
 

Último (20)

Why Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire businessWhy Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire business
 
Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024
Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024
Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024
 
Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...
Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...
Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...
 
DEV meet-up UiPath Document Understanding May 7 2024 Amsterdam
DEV meet-up UiPath Document Understanding May 7 2024 AmsterdamDEV meet-up UiPath Document Understanding May 7 2024 Amsterdam
DEV meet-up UiPath Document Understanding May 7 2024 Amsterdam
 
EMPOWERMENT TECHNOLOGY GRADE 11 QUARTER 2 REVIEWER
EMPOWERMENT TECHNOLOGY GRADE 11 QUARTER 2 REVIEWEREMPOWERMENT TECHNOLOGY GRADE 11 QUARTER 2 REVIEWER
EMPOWERMENT TECHNOLOGY GRADE 11 QUARTER 2 REVIEWER
 
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
 
presentation ICT roal in 21st century education
presentation ICT roal in 21st century educationpresentation ICT roal in 21st century education
presentation ICT roal in 21st century education
 
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
 
AWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of TerraformAWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of Terraform
 
Strategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
Strategize a Smooth Tenant-to-tenant Migration and Copilot TakeoffStrategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
Strategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
 
MS Copilot expands with MS Graph connectors
MS Copilot expands with MS Graph connectorsMS Copilot expands with MS Graph connectors
MS Copilot expands with MS Graph connectors
 
Artificial Intelligence Chap.5 : Uncertainty
Artificial Intelligence Chap.5 : UncertaintyArtificial Intelligence Chap.5 : Uncertainty
Artificial Intelligence Chap.5 : Uncertainty
 
+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...
+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...
+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...
 
Polkadot JAM Slides - Token2049 - By Dr. Gavin Wood
Polkadot JAM Slides - Token2049 - By Dr. Gavin WoodPolkadot JAM Slides - Token2049 - By Dr. Gavin Wood
Polkadot JAM Slides - Token2049 - By Dr. Gavin Wood
 
FWD Group - Insurer Innovation Award 2024
FWD Group - Insurer Innovation Award 2024FWD Group - Insurer Innovation Award 2024
FWD Group - Insurer Innovation Award 2024
 
TrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
TrustArc Webinar - Unlock the Power of AI-Driven Data DiscoveryTrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
TrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
 
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
 
Boost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdfBoost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdf
 
ProductAnonymous-April2024-WinProductDiscovery-MelissaKlemke
ProductAnonymous-April2024-WinProductDiscovery-MelissaKlemkeProductAnonymous-April2024-WinProductDiscovery-MelissaKlemke
ProductAnonymous-April2024-WinProductDiscovery-MelissaKlemke
 
Rising Above_ Dubai Floods and the Fortitude of Dubai International Airport.pdf
Rising Above_ Dubai Floods and the Fortitude of Dubai International Airport.pdfRising Above_ Dubai Floods and the Fortitude of Dubai International Airport.pdf
Rising Above_ Dubai Floods and the Fortitude of Dubai International Airport.pdf
 

The Lorenz Weather Model

  • 1. The Lorenz Weather Model Abhranil Das
  • 2. One Question Sunrise on 20 Sep 2031: 5:25 AM [1] Weather on 20 Sep 2011: ? [1] : timeanddate.com
  • 3. Edward Norton Lorenz Born in Connecticut Studied Mathematics at Dartmouth and Harvard Served as a forecaster in the US Army Air Corps from 1942-46 Returned to study meteorology at MIT, published good orthodox papers
  • 4. “The machine, a Royal McBee, […] broke down every week or so. It had neither the speed nor the memory to manage a realistic simulation of the earth’s atmosphere and oceans. Yet Lorenz created a toy weather in 1960… Every minute the machine marked the passing of a day by printing a row of numbers across a page… Digitized cyclones spun slowly around an idealized globe.” - Chaos, James Gleick
  • 6. Or not. “One day in the winter of 1961, wanting to examine one sequence at greater length, Lorenz took a shortcut. Instead of starting the whole run over, he started midway through. To give the machine its initial conditions, he typed the numbers straight from the earlier printout. “Then he walked down the hall to get away from the noise and drink a cup of coffee. When he returned an hour later, he saw something unexpected, something that planted a seed for a new science.”
  • 7.
  • 9. The Logistic Equationa biological population growth model 𝑥𝑖+1=𝑟𝑥𝑖(1−𝑥𝑖)  
  • 10.
  • 11.
  • 12. Sensitive dependence on initial conditions (between 3.57 and 4) .011 .0101 .01001
  • 14. What will I study? Simulate the Lorenz weather model (attractor) exhaustively, tweaking all parameters till I have a clear understanding. Study and compare its Butterfly Effect against the variation of different parameters Study the restoration to similarity following a period of complete deviation Study how good it is as a model of the earth’s weather system Latch on to anything else that interests me
  • 16. References Deterministic Nonperiodic Flow Edward Lorenz, Journal of the Atmospheric Sciences, 1963 Chaos: the making of a new science James Gleick