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Holography in Classical Gravity

Explores hints of holography in classical black hole thermodynamics.

Free Energy and Black Holes

Explores free energy and black holes, discussing their relation to work and the second law of thermodynamics.

Nonlinear Dynamics: Homoclinic Orbits and Bifurcations

Delves into homoclinic orbits, bifurcations, and limit cycles in nonlinear dynamics.

Dynamical Systems: Maps and Stability

Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.

Equilibrium Points and Bifurcations

Introduces equilibrium points and bifurcations in differential equations, discussing their stability and relevance in various contexts.

Bifurcations: Flip and Andronov-Hopf

Explores flip and Andronov-Hopf bifurcations, showing how systems change equilibrium points and stability.

Relativistic Equation of Motion

Explores spacetime structure, 4-vectors, Lorentz force, and dispersion relation in relativistic motion.

Bifurcations: Introduction

Covers the introduction to bifurcations in dynamical systems, including examples and theorems.

Newtonian Gravity: Mercury's Orbit

Covers the basics of Newtonian gravity, focusing on Mercury's orbit and black hole physics.

Nonlinear Dynamics and Chaos

Covers Hopf bifurcations, pitchfork bifurcations, and the Lorenz system in nonlinear dynamics and chaos.

Gravitational Red-Shift and Escape Velocity

Covers the discovery of integrals of motion and the analysis of escape velocity and gravitational red-shift.

Architecture: Bifurcation and Contemporary Challenges

Explores Bruther's architectural projects, focusing on balancing abstraction and function, creating improbable situations, and addressing contemporary challenges.

Gravitational Field Equations

Covers the formulation of gravitational field equations and the motion of particles in gravitational fields.

Introduction to Quantum Chaos

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Nonlinear Dynamics and Chaos

Explores logistic maps, bifurcations, equilibrium points, and periodic orbits in nonlinear dynamics and chaos.

Fractional Response

Explores linear response in dynamical systems, emphasizing fractional derivatives and expanding unimodal maps.

Limit Cycles in Biological Systems

Explores the concept of limit cycles in biological systems and their significance in understanding system dynamics.

Neuronal Morphologies: Global Features and Measurements

Covers neuronal morphologies, visualisation, measurements, and statistical tests.

Causality and Inertial Universes

Explores causal relations, inertial universes, and proper time in spacetime.

Fluid Dynamics: Instabilities and Turbulence

Covers fluid dynamics instabilities, turbulence, stability of airplanes, and key concepts.