This video introduces chaotic dynamical systems, which exhibit sensitive dependence on initial conditions. These systems are ubiquitous in natural and engineering systems, from turbulent fluids to the motion of objects in the solar system. Here, we discuss how to recognize chaos and how
From playlist Engineering Math: Differential Equations and Dynamical Systems
Chaos4 Oscillations :The swing
From playlist Chaos English
This is the second lecture on "A Markovian perspective on some singular SPDEs" taught by Professor Nicolas Perkowski. For more materials and slides visit: https://sites.google.com/view/oneworld-pderandom/home
From playlist Summer School on PDE & Randomness
Spin Glass Phase at Zero Temperature in the Edwards--Anderson Model by Sourav Chatterjee
PROGRAM: TOPICS IN HIGH DIMENSIONAL PROBABILITY ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India) DATE & TIME: 02 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall This program will focus on several interconnected themes in modern probab
From playlist TOPICS IN HIGH DIMENSIONAL PROBABILITY
Sabine Jansen - Duality, intertwining and orthogonal polynomials for continuum...
Sabine Jansen (LMU Munich) Duality, intertwining and orthogonal polynomials for continuum interacting particle systems. Duality is a powerful tool for studying interacting particle systems, i.e., continuous-time Markov processes describing many particles say on the lattice Zd. In recent
From playlist Large-scale limits of interacting particle systems
Connecting tropical intersection theory with polytope algebra in types A and B by Alex Fink
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
CERIAS Security: Chaos,Complexity, Cybernetics and Therminator 2/6
Clip 2/6 Speaker: Dave Ford · Naval Postgraduate School In the days after Presidential Decision Directive 63 "Therminator: was born at NSA. This talk gives an overview of the applications of strategies from non-linear dynamics, complexity theory and elements from cybernetics in the co
From playlist The CERIAS Security Seminars 2006
Eric Perlmutter - Harnessing SL(2, Z) in Super Yang–Mills and Gravity
We introduce a new approach to extracting the physical consequences of S-duality for observables of four-dimensional N=4 super Yang-Mills (SYM) theory. The main mathematical tool is the theory of harmonic analysis on the fundamental domain of SL(2,Z). Applying this technology leads to stro
From playlist 10e séminaire ITZYKSON – Valeurs zêta multiples et fonctions modulaires de graphes en théorie des cordes
Corinna Ulcigrai - 1/6 Parabolic dynamics and renormalization: an introduction
Parabolic dynamical systems are mathematical models of the many phenomena which display a "slow" form of chaotic evolution, in the sense that nearby trajectories diverge polynomially in time. In contrast with hyperbolic and elliptic dynamical systems, there is no general theory which desc
From playlist Corinna Ulcigrai - Parabolic dynamics and renormalization: an introduction
Constraints on classical Gravitational Scattering amplitudes (Lecture 3) by Shiraz Minwalla
RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lectures
From playlist Recent Developments in S-matrix Theory (Online)
MAE5790-19 One dimensional maps
Logistic map: a simple mathematical model with very complicated dynamics. Influential article by Robert May. Numerical results: Fixed points. Cycles of period 2, 4, 8, 16, .... The period-doubling route to chaos. An icon of chaos: The orbit diagram. Chaos intermingled with periodic windows
From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University