Fractional Susceptibility in Quadratic Dynamics

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Explores transcritical bifurcations and the dynamics near critical points.

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

Explores shell components in transcendental parameter planes and attracting cycles.

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

Covers the functional equation of zeta function and Jensen's formula in complex analysis.

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Discusses holomorphic functions, focusing on the Cauchy-Riemann equations and their applications in complex analysis.

Introduces complex analysis, focusing on holomorphic functions and the Cauchy-Riemann equations.

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

Provides an overview of complex analysis, focusing on derivatives, integrals, and the Cauchy theorem.