The Internet's topology is a complex network with non-trivial correlations and dynamic growth. This study analyzes the topological and dynamical properties of real Internet maps over three years, focusing on higher-order correlation functions and the dynamics of various quantities. The Internet is characterized by non-trivial correlations among nodes and different dynamical regimes. Node hierarchy and aging are important factors in the Internet's structure and growth. The Internet exhibits a power-law connectivity distribution, making it an example of a scale-free network. The study examines the evolution of the Internet from 1997 to 2000, focusing on the correlation properties of nodes' connectivity and the time behavior of quantities related to the growth dynamics of new nodes. The analysis reveals different growth regimes depending on the node's age and connectivity. Two distinct wiring processes are identified: one for newly added nodes and another for existing nodes increasing their interconnections. The Internet's hierarchical structure is reflected in a non-trivial scale-free connectivity correlation function. The study also discusses recent models for generating scale-free networks in light of the analysis of real Internet maps. The results could help develop more accurate models of the Internet. The Internet's topology is characterized by a stationary scale-free structure with non-trivial connectivity correlations. The dynamics confirm the presence of preferential attachment, which is linear with the nodes' connectivity, and identify two different dynamical regimes during the nodes' evolution. The study suggests that factors such as node hierarchy, resource constraints, and geographical location may influence the Internet's evolution. The results have implications for modeling the Internet's growth and understanding its resilience to attacks and spreading phenomena.The Internet's topology is a complex network with non-trivial correlations and dynamic growth. This study analyzes the topological and dynamical properties of real Internet maps over three years, focusing on higher-order correlation functions and the dynamics of various quantities. The Internet is characterized by non-trivial correlations among nodes and different dynamical regimes. Node hierarchy and aging are important factors in the Internet's structure and growth. The Internet exhibits a power-law connectivity distribution, making it an example of a scale-free network. The study examines the evolution of the Internet from 1997 to 2000, focusing on the correlation properties of nodes' connectivity and the time behavior of quantities related to the growth dynamics of new nodes. The analysis reveals different growth regimes depending on the node's age and connectivity. Two distinct wiring processes are identified: one for newly added nodes and another for existing nodes increasing their interconnections. The Internet's hierarchical structure is reflected in a non-trivial scale-free connectivity correlation function. The study also discusses recent models for generating scale-free networks in light of the analysis of real Internet maps. The results could help develop more accurate models of the Internet. The Internet's topology is characterized by a stationary scale-free structure with non-trivial connectivity correlations. The dynamics confirm the presence of preferential attachment, which is linear with the nodes' connectivity, and identify two different dynamical regimes during the nodes' evolution. The study suggests that factors such as node hierarchy, resource constraints, and geographical location may influence the Internet's evolution. The results have implications for modeling the Internet's growth and understanding its resilience to attacks and spreading phenomena.