Lectures related to Pitchfork bifurcation

Equilibrium Points and Bifurcations

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

Introduction to Quantum Chaos

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

Bifurcations: Introduction

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

Bifurcations: Flip and Andronov-Hopf

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

Nonlinear Dynamics: Bifurcations and Stability

Explores nonlinear dynamics, bifurcations, stability, weakly nonlinear systems, saturation, Hopf bifurcation, and global stability analysis.

Dynamical System Theory: Bifurcations

Covers the topic of bifurcations in dynamical system theory, focusing on the pitchfork bifurcation.

Architecture: Bifurcation and Contemporary Challenges

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

Nonlinear Dynamics and Chaos

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

Neuronal Morphologies: Global Features and Measurements

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

Dynamical Systems: Maps and Stability

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

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.

Fluid Dynamics: Instabilities and Turbulence

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

Bistability in Gene Regulation

Explores bistability in gene regulation, analyzing fixed points, bifurcation diagrams, and hysteresis behavior in gene expression.

Nonlinear Dynamics and Chaos

Covers bifurcations, long-term dynamics, logistic map, universality, and correspondence between different maps.

Stellar Orbits: Stability and Resonances

Explores the stability of orbits, effective potential shape, and resonances in stellar dynamics.

Special Types of Systems: Limit Cycles

Covers special types of systems, focusing on gradient systems and limit cycles, discussing equilibrium points, stability, and chaotic behavior.

Carotid Artery Bifurcation: Physiology and Anatomy

Explores the anatomy and physiology of the carotid artery bifurcation.

Weakly Nonlinear Approach: Bifurcations and Amplitude Equations

Explores weakly nonlinear approach, bifurcations, amplitude equations, critical slowing, and nonlinearities in dynamical systems.

Kuramoto Model: Phase Synchronization and Critical Coupling

Explores the Kuramoto model, discussing phase synchronization and critical coupling in oscillator populations.