Automated Reverse Engineering of Nonlinear Dynamical Systems

16
Automated Reverse Engineering of Nonlinear Dynamical Systems J. Bongard, H. Lipson PNAS, June 2007

TAGS:

description

Automated Reverse Engineering of Nonlinear Dynamical Systems. J. Bongard, H. Lipson PNAS, June 2007. 3 Components. Partitioning Automated Probing Snipping. Physical Pendlum. Source Code. http://ccsl.mae.cornell.edu/research/reverse/index.htm. Double Pendulum. - PowerPoint PPT Presentation

Transcript of Automated Reverse Engineering of Nonlinear Dynamical Systems

Page 1: Automated Reverse Engineering of Nonlinear Dynamical Systems

Automated Reverse Engineering of Nonlinear

Dynamical Systems

J. Bongard, H. Lipson

PNAS, June 2007

Page 2: Automated Reverse Engineering of Nonlinear Dynamical Systems

3 Components

Partitioning Automated Probing Snipping

Page 3: Automated Reverse Engineering of Nonlinear Dynamical Systems
Page 4: Automated Reverse Engineering of Nonlinear Dynamical Systems
Page 5: Automated Reverse Engineering of Nonlinear Dynamical Systems
Page 6: Automated Reverse Engineering of Nonlinear Dynamical Systems
Page 7: Automated Reverse Engineering of Nonlinear Dynamical Systems
Page 8: Automated Reverse Engineering of Nonlinear Dynamical Systems
Page 9: Automated Reverse Engineering of Nonlinear Dynamical Systems
Page 10: Automated Reverse Engineering of Nonlinear Dynamical Systems
Page 11: Automated Reverse Engineering of Nonlinear Dynamical Systems
Page 12: Automated Reverse Engineering of Nonlinear Dynamical Systems
Page 13: Automated Reverse Engineering of Nonlinear Dynamical Systems
Page 14: Automated Reverse Engineering of Nonlinear Dynamical Systems

Physical Pendlum

Page 15: Automated Reverse Engineering of Nonlinear Dynamical Systems

Source Code

http://ccsl.mae.cornell.edu/research/reverse/index.htm

Page 16: Automated Reverse Engineering of Nonlinear Dynamical Systems

Double Pendulum

http://ccsl.mae.cornell.edu/natural_laws


Automated reverse engineering of nonlinear dynamical systems · generate symbolic equations for a nonlinear coupled dynamical system directly from time series data. This method is

Automated reverse engineering of nonlinear dynamical systems · generate symbolic equations for a nonlinear coupled dynamical system directly from time series data. This method is

Nonlinear dynamical analysis of GNSS data: quantification ......Nonlinear dynamical analysis of GNSS data: quantification, precursors and synchronisation Bruce Hobbs1,3* and Alison

Nonlinear dynamical analysis of GNSS data: quantification ......Nonlinear dynamical analysis of GNSS data: quantification, precursors and synchronisation Bruce Hobbs1,3* and Alison

Introduction to Nonlinear Dynamical Systems and Nonlinear Control …eprints.lincoln.ac.uk/4012/2/Nonlinear_dynamical_systems... · 2013-03-13 · 1 Introduction to Nonlinear Dynamical

Introduction to Nonlinear Dynamical Systems and Nonlinear Control …eprints.lincoln.ac.uk/4012/2/Nonlinear_dynamical_systems... · 2013-03-13 · 1 Introduction to Nonlinear Dynamical

Introduction to Applied Nonlinear Dynamical Systems and Chaos

Introduction to Applied Nonlinear Dynamical Systems and Chaos

Bayesian Inference for Nonlinear Dynamical Systems | Applications and … ·  · 2015-06-01Bayesian Inference for Nonlinear Dynamical Systems | Applications and Software Implementation

Bayesian Inference for Nonlinear Dynamical Systems | Applications and … ·  · 2015-06-01Bayesian Inference for Nonlinear Dynamical Systems | Applications and Software Implementation

Optimal tracking control of nonlinear dynamical …rspa.royalsocietypublishing.org/content/royprsa/464/2097/...Optimal tracking control of nonlinear dynamical systems BY FIRDAUS E.

Optimal tracking control of nonlinear dynamical …rspa.royalsocietypublishing.org/content/royprsa/464/2097/...Optimal tracking control of nonlinear dynamical systems BY FIRDAUS E.

[222]Nonlinear Dynamical Control Systems

[222]Nonlinear Dynamical Control Systems

Synchronization of coupled nonlinear dynamical systems ... · Synchronization of coupled nonlinear dynamical systems ... Nijmeijer, H., & Oguchi, T. (2007). Synchronization of coupled

Synchronization of coupled nonlinear dynamical systems ... · Synchronization of coupled nonlinear dynamical systems ... Nijmeijer, H., & Oguchi, T. (2007). Synchronization of coupled

Model Order Reduction of Nonlinear Dynamical Systems · Model Order Reduction of Nonlinear Dynamical ... Model Order Reduction of Nonlinear Dynamical Systems by ... nonlinear and

Model Order Reduction of Nonlinear Dynamical Systems · Model Order Reduction of Nonlinear Dynamical ... Model Order Reduction of Nonlinear Dynamical Systems by ... nonlinear and

Introduction to Applied Nonlinear Dynamical Systems and Chaosmathcenter.hust.edu.cn/__local/0/28/28/2E72E9FC9DA... · Introduction to Applied Nonlinear Dynamical Systems and Chaos

Introduction to Applied Nonlinear Dynamical Systems and Chaosmathcenter.hust.edu.cn/__local/0/28/28/2E72E9FC9DA... · Introduction to Applied Nonlinear Dynamical Systems and Chaos

Identifying nonlinear dynamical systems via generative ...

Identifying nonlinear dynamical systems via generative ...

Introduction to Nonlinear Dynamical Systems and Nonlinear ...1 Introduction to Nonlinear Dynamical Systems and Nonlinear Control Strategies Presenter: Dr. Bingo Wing-Kuen Ling Lecturer,

Introduction to Nonlinear Dynamical Systems and Nonlinear ...1 Introduction to Nonlinear Dynamical Systems and Nonlinear Control Strategies Presenter: Dr. Bingo Wing-Kuen Ling Lecturer,

Nonlinear dynamical systems Sixth Class › pessoas › andcarva › SDNL › Aulas › Aula06-englis… · Gradient semigroups Dynamically gradient semigroups Nonlinear dynamical

Nonlinear dynamical systems Sixth Class › pessoas › andcarva › SDNL › Aulas › Aula06-englis… · Gradient semigroups Dynamically gradient semigroups Nonlinear dynamical

Introduction of Linear and Nonlinear Dynamical Systemstaishin/systems_biology_text.pdf · Introduction of Linear and Nonlinear Dynamical Systems 1. Dynamical Systems 1.1 Ordinary

Introduction of Linear and Nonlinear Dynamical Systemstaishin/systems_biology_text.pdf · Introduction of Linear and Nonlinear Dynamical Systems 1. Dynamical Systems 1.1 Ordinary

Learning Nonlinear Dynamical Systems Using an EM Algorithm

Learning Nonlinear Dynamical Systems Using an EM Algorithm

Inferring Switched Nonlinear Dynamical Systems

Inferring Switched Nonlinear Dynamical Systems

Chaotic Dynamical Systems based Designing of Nonlinear Block

Chaotic Dynamical Systems based Designing of Nonlinear Block

Nonlinear Dynamical Shape Priors for Level Set Segmentation

Nonlinear Dynamical Shape Priors for Level Set Segmentation

Introduction to Discrete Nonlinear Dynamical Systems

Introduction to Discrete Nonlinear Dynamical Systems

Nonlinear Dynamical Systems Fifth Class › pessoas › ... › Aulas › Aula05-english.pdf · Gradient semigroups Dynamically gradient semigroups Nonlinear Dynamical Systems Fifth

Nonlinear Dynamical Systems Fifth Class › pessoas › ... › Aulas › Aula05-english.pdf · Gradient semigroups Dynamically gradient semigroups Nonlinear Dynamical Systems Fifth