Autonomous system (mathematics)

B18 Plane autonomous systems

In this section I introduce plane autonomous systems, which form beautiful and useful vector fields.

From playlist A Second Course in Differential Equations

B19 Example problem of a system of autonomous equations

Solving a system of ordinary differential equation, that are autonomous and represent a vector field in a plane.

From playlist A Second Course in Differential Equations

(8.1.1) Systems of Autonomous Nonlinear Differential Equations and Phase Plane Analysis

This video defines autonomous systems of differential equations, how to analyze phase portraits and determine the equilibrium solutions. https://mathispower4u.com

From playlist Differential Equations: Complete Set of Course Videos

(3.1.4) Introduction to Autonomous Systems of ODEs and Phase Portraits

This video introduces autonomous systems of ODEs and phase portraits. https://mathispower4u.com

From playlist Differential Equations: Complete Set of Course Videos

What Is Autonomous Navigation? | Autonomous Navigation, Part 1

Navigation is the ability to determine your location within an environment and to be able to figure out a path that will take you to a goal. This video provides an overview of how we get a robotic vehicle to do this automatically. We’ll cover what it means to have a fully autonomous vehic

From playlist Autonomous Navigation

23 Algebraic system isomorphism

Isomorphic algebraic systems are systems in which there is a mapping from one to the other that is a one-to-one correspondence, with all relations and operations preserved in the correspondence.

From playlist Abstract algebra

Ex 2: Solve an Autonomous DE IVP - Logistic Growth Using Separation of Variables

This video explains how to solve an initial value problem involving an autonomous differential equation. (logistic growth model) http://mathispower4u.com

From playlist Autonomous Differential Equations: Equilibrium Solutions

Caltech Science Exchange: How Does AI Drive Autonomous Systems?

Artificial Intelligence (AI) enables scientists and engineers to create autonomous technologies that can function on their own and adapt and respond to changing environments and scenarios. What is the different between autonomy and automation? How does AI driveautonomous systems? How can

From playlist Caltech's Center for Autonomous Systems and Technologies (CAST)

The Center for Autonomous Systems and Technologies (CAST) at Caltech

Caltech's Center for Autonomous Systems and Technologies (CAST) is an interdisciplinary research center focused on developing autonomous systems that think, act and assist independently, expanding the scope of human possibility to solve problems, as well as the range of exploration in extr

From playlist Research & Science

Aneta Stefanovska - Time: How it matters - IPAM at UCLA

Recorded 31 August 2022. Aneta Stefanovska of Lancaster University presents "Time: How it matters?" at IPAM's Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond. Abstract: The simplest definition of dynamics is the evolution of position in time and space. Fo

From playlist 2022 Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond

Nonautonomous and Random Dynamical Systems Into the Climate Sciences - Ghil -Workshop 1 -CEB T3 2019

Ghil (ENS, Paris, and UCLA) / 09.10.2019 Nonautonomous and Random Dynamical Systems Into the Climate Sciences H. Poincaré already raised doubts about the predictability of weather due to the divergence of orbits of dynamical systems associated more recently with chaos. Progress in th

From playlist 2019 - T3 - The Mathematics of Climate and the Environment

Benedetto Piccoli: "Social dynamics, control of large groups and vehicular traffic"

Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop IV: Social Dynamics beyond Vehicle Autonomy "Social dynamics, control of large groups and vehicular traffic" Benedetto Piccoli - Rutgers University Abstract: We revise come recent approach to model social dyn

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Simple Examples of Rate and Bifurcation Tipping by Sebastian Wieczorek

PROGRAM TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID) ORGANIZERS: Partha Sharathi Dutta (IIT Ropar, India), Vishwesha Guttal (IISc, India), Mohit Kumar Jolly (IISc, India) and Sudipta Kumar Sinha (IIT Ropar, India) DATE: 19 September 2022 to 30 September 2022 VENUE: Ramanujan Lecture Hall an

From playlist TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID, 2022)

Kristi Morgansen: "Analytical & Empirical Tools for Nonlinear Network Observability in Autonomou..."

Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop IV: Social Dynamics beyond Vehicle Autonomy "Analytical and Empirical Tools for Nonlinear Network Observability in Autonomous Systems" Kristi Morgansen - University of Washington Abstract: A fundamental eleme

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Aaron Ames: "Safety-Critical Control of Autonomous Systems"

Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop II: Safe Operation of Connected and Autonomous Vehicle Fleets "Safety-Critical Control of Autonomous Systems" Aaron Ames - California Institute of Technology Abstract: Guaranteeing safe behavior is a critical

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Paola Goatin: "Macroscopic models for Autonomous Vehicles"

Mathematical Challenges and Opportunities for Autonomous Vehicles Tutorials 2020 "Macroscopic models for Autonomous Vehicles" Paola Goatin - Inria Sophia Antipolis-Méditerranée Abstract: My lecture will give an introduction to macroscopic traffic flow models (first and second order), the

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Benjamin Seibold: The Frustrating Beauty of Traffic Waves & How Automated Vehicles Can Prevent Them

IPAM Public Lecture 2020 “The Frustrating Beauty of Traffic Waves — And How Automated Vehicles Can Prevent Them” Benjamin Seibold - Temple University Abstract: A distinguishing feature of vehicular traffic flow is that it may exhibit significant wave patterns. This talk demonstrates tha

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Benjamin Seibold: "Basic Traffic Models and Traffic Waves" (Part 2/2)

Watch part 1/2 here: https://youtu.be/9_1cEtimRNE Mathematical Challenges and Opportunities for Autonomous Vehicles Tutorials 2020 "Basic Traffic Models and Traffic Waves" (Part 2/2) Benjamin Seibold - Temple University Institute for Pure and Applied Mathematics, UCLA September 17, 2020

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Gabor Karsai: "Towards Assurance-based Learning-enabled Cyber-Physical Systems"

Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop II: Safe Operation of Connected and Autonomous Vehicle Fleets "Towards Assurance-based Learning-enabled Cyber-Physical Systems" Gabor Karsai - Vanderbilt University Abstract: Cyber-Physical Systems (CPS) are

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020