Lectures related to Hopf bifurcation

Bifurcations: Introduction

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

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.

Bifurcations: Flip and Andronov-Hopf

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

Limit Cycles in Biological Systems

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

Fractional Response

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

Nonlinear Dynamics and Chaos

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

Nonlinear Dynamics: Bifurcations and Stability

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

Weakly Nonlinear Approach: Bifurcations and Amplitude Equations

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

Architecture: Bifurcation and Contemporary Challenges

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

Neuronal Morphologies: Global Features and Measurements

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

Nonlinear Dynamics and Chaos

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

Fluid Dynamics: Instabilities and Turbulence

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

Nonlinear Dynamics and Chaos

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

Stellar Orbits: Stability and Resonances

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

Metal Structures: Buckling and Deformation

Explores buckling modes, Euler's formula, elastic behavior, and geometric imperfections in metal structures.

Carotid Artery Bifurcation: Physiology and Anatomy

Explores the anatomy and physiology of the carotid artery bifurcation.

Personalized Brain Network Models

Explores personalized brain network models in medicine, focusing on epilepsy, time delays, and SEEG data fitting.

Fluid Instabilities: Viscous Fingering and Stability Analysis

Explores viscous fingering, flow instabilities, and aircraft stability analysis.

Weakly Nonlinear Analysis: Multiple Time Scale Expansion

Explores weakly nonlinear analysis through multiple time scale expansion, emphasizing the period of a gravitational pendulum and non-resonance conditions.