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List of works by Carlos Rocha

A permutation characterization of Sturm global attractors of Hamiltonian type

A permutation related to the dynamics of a scalar parabolic PDE

article

An explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle

article

Bifurcations in a parabolic equation with variable diffusion

Connectivity and Design of Planar Global Attractors of Sturm Type. III: Small and Platonic Examples

Connectivity and design of planar global attractors of Sturm type, I: Bipolar orientations and Hamiltonian paths

Connectivity and design of planar global attractors of Sturm type. II: Connection graphs

Examples of attractors in scalar reaction-diffusion equations

Heteroclinic Orbits of Semilinear Parabolic Equations

Heteroclinic orbits between rotating waves of semilinear parabolic equations on the circle

Interaction of diffusion and boundary conditions

Lyapunov Functionals and Stability for FitzHugh–Nagumo Systems

Meanders, Zero Numbers and the Cell Structure of Sturm Global Attractors

scientific article published in 2021

Nonlinear Sturm global attractors: Unstable manifold decompositions as regular CW-complexes

On the Singular Problem for the Scalar Parabolic Equation with Variable Diffusion

Properties of the attractor of a scalar parabolic PDE

Realization of Period Maps of Planar Hamiltonian Systems

Reducible Volterra and Levin–Nohel Retarded Equations with Infinite Delay

Schoenflies Spheres as Boundaries of Bounded Unstable Manifolds in Gradient Sturm Systems

Sturm 3-Ball Global Attractors 2: Design of Thom–Smale Complexes

Sturm 3-ball global attractors 1: Thom–Smale complexes and meanders

scientific article from 'São Paulo Journal of Mathematical Sciences', issue date June 2018

Sturm global attractors for $S^1$-equivariant parabolic equations

TRANSVERSALITY IN SEMILINEAR PARABOLIC EQUATIONS ON THE CIRCLE

Transversality in scalar reaction–diffusion equations on a circle