Dynamical and Ergodic Systems, State Space Models, Kalman Filtering, Data Assimiliation, Chaos Theory, Spontaneous Synchronization

books

Introduction to Modern Theory of Dynamical Systems, Anatole Katok, Boris Hasselblatt, 1995
Dynamical Systems, Edward R. Scheinerman, JHU, 2000
An Introduction to Dynamical Systems, Michael Brin, Garrett Stuck, 2004
Introduction to Dynamical Systems and Chaos, G.C. Layek, 2015
Diffferential Equations, Stability and Chaos in Dynamic Economics, WA Brock, AG Malliaris, 1989
Lecture Notes on Random Dynamical Systems, Maximillian Engel, Freie Universitaet Berlin, 2021
Data Assimilation: Methods, Algorithms and Applications, Mark Asch et al, SIAM, 2016
CHAOS: An Introduction To Dynamical Systems, Kathleen T. Aligood, Tim D. Sauer, James D. Yorke, 1996
SYNC - The Emergning Science of Spontaneous Order, Steven Storgatz, 2003
Foundations of Ergodic Theory, Marcelo Viana, Krerkley Oliveira, 2015
Lecture Notes on Ergodic Theory, Omri Sarig, 2023
Model Predictive Control: Theory, Computation and Design, James B. Rawling, David Q. Mayne, Moritz M. Diehl, 2nd Edition, 2017
System Identification: Theory for the User, Lennart Ljeung, 2nd Edition, 1999
Stochastic Differential Equations: An Introduction with Applications Fifth Edition, Corrected Printing, Bernt Oksendal, 2000
Brownian Motion and Stochastic Flow Systems, J. Michael Harrison, Stanford, 1985
An Introduction to Kolmogorov Complexity and its Applications, Ming Li, Paul Vitanyi, Fourth Edition, 2019

Random dynamical systems: a review, Rabi Bhattacharya, 2004
Random Dynamical Systems, Vıtor Araujo, 2008
Random Dynamical Systems with Inputs, Michael Marcondes de Freitas and Eduardo D. Sontag, book chapter, 2014

The Induction of Dynamical Recognizers, JB Pollack, Ohio State U., 1991
Period-doublings to Chaos in a Simple Neural Network - An Analytical Proof, X. Wang, 1991
Absolute Stability Conditions for Discrete Time Recurrent Neural Networks, L. Jin et al, 1994
Dynamics and Bifurcation of Neural Networks, X. Wang EK Blum, 1995
Discrete-Time vs Continuous-Time models of Neural Networks, X. Wang and EK Blum, 1992
Dynamics of Analog Neural Networks with Time Delay, CM Marcus et al, NIPS, 1988

Model Predictive Control: Theory, Computation and Design, James B. Rawling, David Q. Mayne, Moritz M. Diehl, 2nd Edition, 2017
Linear Tracking MPC for non-linear systems Part I: The model-based case, J. Berberich et al, 2022
Linear Tracking MPC for non-linear systems Part II: The data-driven case, J. Berberich et al, 2022
Model Predictive Control of Energy Storage including Uncertain Forecasts, M. Arnold et al, ETH Zurch, 2006

Data Assimilation: Methods, Algorithms and Applications, Mark Asch et al, SIAM, 2016
Data Assimilation in The Geosciences, Alberto Carrassi et al, 2018
Non-linear Data Assimilation for High Dimensional Systems, Peter Jan van Leeuwen
A Tutorial on Bayesian Data Assimilation, Colin Grudzien, Marc Bocquet, 2022
A Bayesian Tutorial for data assimilation, Christopher Wikle et al, 2006

Coupled Oscillators and Spontaneous Synchronization, Steven H, Strogatz, Ian Stuart, 1993
Osicallators That Sync and Swarm, Kevin P O'Keeffe et al, Nature Communications, 2017

A New Approach to Linear Filtering and Prediction Problems, R.E. Kalman, 1960
Exposing the Power of the Kalman Filter with Jimmy Weaver, Nov 7, 2023, Medium
Fundamentals of Kalman Filtering: Practical Approach, 3th ed, Paul Zarchan, Howard Musoff, MIT Lincoln Lab, Charles Draper Lab, Massachusetts, 2009
An Elementary Introduction to Kalman Filtering, Yan Pei et al, U Texas at Austin, 2019
Kalman and Particle Filters, J. Fernandez-Villaverde, U Penn, online document
The Kalman Filter and Related Algorithms, C. Montella, Lehigh U., 2011
An Introduction to the Kalman Filter, G. Welch and G. Bishop, U of NC at Chapel Hill, 2001
Understanding and Applying Kalman Filtering, Lindsey Kleeman, Monash U., presentation
Extended Kalman Filter Lecture Notes, Darryl Morrell, 1997
Kalman and Extended Kalman Filters: Concept, Derivation and Properties, M. Ribeiro, 2004
A New Extension of the Kalman Filter to Nonlinear Systems, Simon Julier, Jeffrey Uhlmann, Oxford U., 1997

Never-Repeating Tiles Can Safeguard Quantum Information, B. Brubaker, Quanta Magazine, Feb 2024
The Penrose Tiling is a Quantum Error-Correcting Code, Zhi Li, Latham Boyle, U. of Waterloo, 2024
Hobbyist Finds Math’s Elusive ‘Einstein’ Tile, E. Klarreich, Quanta Magazine, 2023