Journal
SYMMETRY-BASEL
Volume 14, Issue 10, Pages -Publisher
MDPI
DOI: 10.3390/sym14101960
Keywords
kinetic theory; fractional equations; numerical methods; natural transform; Hamiltonian dynamics; Onsager reciprocal relations; Lipschitz stability in time; oscillation properties; neutral differential equations; Lyapunov functions
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The recent developments in dynamical systems theory and non-equilibrium statistical mechanics have opened up new possibilities for modeling complex phenomena in nature and society. This editorial introduces the topic and highlights the contributions of this Special Issue, which focuses on the development of new methods and models from dynamical system theory and statistical mechanics, as well as addressing existing framework-related problems and applications in various systems.
The recent developments in dynamical systems theory and non-equilibrium statistical mechanics have allowed the birth of new challenges and research perspectives. In particular, different frameworks have been proposed for the modeling of complex emerging phenomena occurring in nature and society. This editorial article introduces the topic and the contributions of this Special Issue. This Special Issue focuses, on the one hand, on the development of new methods, frameworks and models coming from dynamical system theory and the equilibrium/non-equilibrium statistical mechanics and, on the other hand, opens problems related to the existing frameworks. The Special Issue also includes applications to physical, biological and engineering systems.
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