Lectures related to Rössler attractor

Shell Components in Meromorphic Parameter Spaces

Explores shell components in transcendental parameter planes and attracting cycles.

Explores mild dissipative surface dynamics, including conservative behavior and ergodic functions.

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

Renormalization of Hénon maps

Covers the renormalization of Hénon maps with zero entropy, focusing on integrable systems and attractors.

Attractors and Stability

Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.

Small Scale Stability: Gradient Systems

Covers small scale stability in gradient systems, focusing on trajectory properties and equilibrium point attraction.

Non-escaping points of Zorich maps

Covers non-escaping points of Zorich maps, including attracting fixed points and Cantor bouquets.

Harmonic Responses to Non-Harmonic Signals

Covers the harmonic responses of systems to non-harmonic signals.

Circadian and Cell Cycle Dynamics: Coupling and Synchronization

Explores the synchronization and coupling of circadian and cell cycles, focusing on dynamics, predictions, and organ-specific time.

Nonlinear Dynamics and Chaos

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

Chaos and Lyapunov Exponents: Properties and Dynamics

Covers chaos properties, focusing on Lyapunov exponents and their role in chaotic dynamics and predictability.

Bifurcations: Fold Bifurcation

Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.

Small Scale Stability: Gradient Systems

Explores small scale stability in gradient systems, analyzing trajectories and attractors in phase space.

Collisionless Boltzmann Equation

Explores the Collisionless Boltzmann equation, distribution functions, Jeans theorems, resonances, chaotic orbits, and equilibria in stellar systems.

Bifurcation and fractals in complex dynamical systems

Explores bifurcation, fractals, Julia sets, Mandelbrot set, and self-similarity in complex dynamical systems.

Nonlinear Phenomena in Physics

Explores Poincaré sections, chaos, and strange attractors in nonlinear physics.

Modeling the role of hippocampus in spatial navigation

Discusses the role of the hippocampus in spatial navigation and the formation of place cell representation through recurrent network models.

Small Scale Stability: Equilibrium Point

Covers small scale stability at equilibrium points in dynamical systems for engineers.

Kuramoto Model: Phase Synchronization and Critical Coupling

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

Kuramoto Model: Generalized Overview

Provides an overview of the generalized Kuramoto model, including natural frequencies, all-to-all coupling, bifurcation diagrams, and diffusion systems.