In the theory of dynamical systems, the exponential map can be used as the evolution function of the discrete nonlinear dynamical system. (Wikipedia).
Discrete-Time Dynamical Systems
This video shows how discrete-time dynamical systems may be induced from continuous-time systems. https://www.eigensteve.com/
From playlist Data-Driven Dynamical Systems
Introduces notation and formulas for exponential growth models, with solutions to guided problems.
From playlist Discrete Math
This lecture is part of an online graduate course on Lie groups. We define the exponential map for matrix groups and describe its basic properties. (We also sketch two ways to define it for general Lie groups.) We give an example to show that it need not be surjective even for connected g
From playlist Lie groups
The Exponential Distribution and Exponential Random Variables | Probability Theory
What is the exponential distribution? This is one of the most common continuous probability distributions. We'll go over an introduction of the exponential distribution and exponentially distributed random variables in today's probability theory video lesson. The exponential distribution
From playlist Probability Theory
Applying Exponential Models // Math Minute [#34] [ALGEBRA]
Exponential functions work a lot like linear functions. There are typically two parameters that guide the use of the exponential function: the initial value (like the y-intercept of a linear function) and the factor of growth (like the slope of a linear function). There are some additional
From playlist Math Minutes
Graphing an exponential function and determine the domain and range
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table of values of the function. This is done by choosing a
From playlist How to Graph Exponential Functions with Vertical Shift
Graphing exponential growth functions
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table of values of the function. This is done by choosing a
From playlist How to Graph Exponential Functions with Vertical Shift
Topics in Dynamical Systems: Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos
This video provides a high-level overview of dynamical systems, which describe the changing world around us. Topics include nonlinear dynamics, linearization at fixed points, eigenvalues and eigenvectors, bifurcations, invariant manifolds, and chaos!! @eigensteve on Twitter eigensteve.co
From playlist Dynamical Systems (with Machine Learning)
Math tutorial for graphing an exponential equation
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table of values of the function. This is done by choosing a
From playlist How to Graph Exponential Functions with Vertical Shift
Stability and Eigenvalues [Control Bootcamp]
Here we discuss the stability of a linear system (in continuous-time or discrete-time) in terms of eigenvalues. Later, we will actively modify these eigenvalues, and hence the dynamics, with feedback control. Chapters available at: http://databookuw.com/databook.pdf These lectures follo
From playlist Control Bootcamp
Deep learning for sequence modelling: Qianxiao Li
Machine Learning for the Working Mathematician: Week Thirteen 26 May 2022 Qianxiao Li, Deep learning for sequence modelling Abstract: In this talk, we introduce some deep learning based approaches for modelling sequence to sequence relationships that are gaining popularity in many applie
From playlist Machine Learning for the Working Mathematician
Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a by Sriram Ganeshan
Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q
From playlist Open Quantum Systems
Derivatives: Exponential Functions
This is the fourth video of a series from the Worldwide Center of Mathematics explaining the basic rules for calculating derivatives. This video deals with derivatives of exponential functions. For more math videos, visit our channel or go to www.centerofmath.org
From playlist Basics: Rules for Calculating Derivatives
ETH Lecture 08. Nonlinear Dynamics I: Bifurcations and Chaos (10/11/2011)
Course: Systems Dynamics and Complexity (Fall 2011) from ETH Zurich. Source: http://www.video.ethz.ch/lectures/d-mtec/2011/autumn/351-0541-00L.html
From playlist ETH Zürich: Systems Dynamics and Complexity (Fall 2011) | CosmoLearning Mathematics
DDPS | Trustworthy learning of mechanical systems & Stiefel optimization with applications
In this DDPS talk from June 23, 2022, Georgia Institute of Technology assistant professor Molei Tao discusses data-driven learning and prediction of mechanical dynamics and momentum-accelerated gradient descent algorithms on Riemannian manifolds. Description: The interaction of machine le
From playlist Data-driven Physical Simulations (DDPS) Seminar Series
Discuss the proess of model building, purpose of models in light of results of by Vishwesha Guttal
PROGRAM : PREPARATORY SCHOOL ON POPULATION GENETICS AND EVOLUTION ORGANIZERS : Deepa Agashe and Kavita Jain DATE & TIME : 04 February 2019 to 10 February 2019 VENUE :Ramanujan Lecture Hall, ICTS Bangalore The 2019 preparatory school on Population Genetics and Evolution (PGE2019) will be
From playlist Preparatory School on Population Genetics and Evolution
Dynamics, numerical analysis and some geometry – Christian Lubich – ICM2018
Plenary Lecture 18 Dynamics, numerical analysis and some geometry Christian Lubich Abstract: Geometric aspects play an important role in the construction and analysis of structure-preserving numerical methods for a wide variety of ordinary and partial differential equations. Here we revi
From playlist Plenary Lectures
Michael Jordan: "Optimization & Dynamical Systems: Variational, Hamiltonian, & Symplectic Perspe..."
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop II: PDE and Inverse Problem Methods in Machine Learning "Optimization and Dynamical Systems: Variational, Hamiltonian, and Symplectic Perspectives" Michael Jordan - University of California, Berkeley (UC Berkeley) Abstract: We analyze t
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
How to determine, domain range, and the asymptote for an exponential graph
👉 Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations). This can be done by choosing 2-3 points of the equatio
From playlist How to Graph Exponential Functions | Learn About
An introduction to quantum chaos - Stéphane Nonnemacher
Emerging Topics Working Group Topic: An introduction to quantum chaos Speaker: Stéphane Nonnemacher Affiliation: Université Paris-Sud Date: October 9, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics