The mathematical theory of endosymbiosis. I

DOI10.1016/j.nonrwa.2011.05.023zbMath1231.53020OpenAlexW2000128189MaRDI QIDQ660732

Solange F. Rutz, Carlos E. Hirakawa, Peter L. Antonelli

Publication date: 5 February 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.05.023

zbMATH Keywords

Hamilton systemsVolterraendosymbiosisbiological evolutionBerwald spacesancestral communeFinsler and projective geometriesKCC-theory

Mathematics Subject Classification ID

Problems related to evolution (92D15) Geometric methods in ordinary differential equations (34A26) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (8)

Evolution of symbiosis in hermatypic corals: A model of the past, present, and future ⋮ Differential geometric structure of non-equilibrium dynamics in competition and predation: Finsler geometry and KCC theory ⋮ The mathematical theory of endosymbiosis. II: Models of the fungal fusion hypothesis ⋮ Geometric Structures of Fractional Dynamical Systems in Non‐Riemannian Space: Applications to Mechanical and Electromechanical Systems ⋮ A geometric interpretation of maximal Lyapunov exponent based on deviation curvature ⋮ Dynamics at infinity and Jacobi stability of trajectories for the Yang-Chen system ⋮ A coral bleaching model ⋮ Geometrical classification of self-similar motion of two-dimensional three point vortex system by deviation curvature on Jacobi field

Uses Software

• FINSLER

Cites Work

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• Theories and models in symbiogenesis: A reply to nature and the introduction of environmental noises
• Geodesics of two-dimensional Finsler spaces
• The theory of sprays and Finsler spaces with applications in physics and biology
• Theories and models in symbiogenesis.
• Observations sur le memoire precedent
• FINSLER: a computer algebra package for Finsler geometries.
• New results on two-dimensional constant sprays with an application to heterochrony
• The Wagner Theory of 2-Dimensional Constant Sprays and its Applications in Evolutionary Biology

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