Geometrical classification of self-similar motion of two-dimensional three point vortex system by deviation curvature on Jacobi field
DOI10.1155/2021/9979529zbMath1483.37070OpenAlexW3208931435WikidataQ114069814 ScholiaQ114069814MaRDI QIDQ2052047
Publication date: 25 November 2021
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/9979529
Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Jacobi stability analysis of dynamical systems - applications in gravitation and cosmology
- The mathematical theory of endosymbiosis. I
- Carbon flux models in the Mata-Atlântica rain forest of Brazil
- Some remarks on Jacobi stability
- The theory of sprays and Finsler spaces with applications in physics and biology
- Theories and models in symbiogenesis.
- Parallelism and path-spaces
- Observations sur le memoire precedent
- Lotka-Volterra system and KCC theory: differential geometric structure of competitions and predations
- Systems biology and deviation curvature tensor
- Tangent bundle viewpoint of the Lorenz system and its chaotic behavior
- Finslerian Volterra-Hamilton systems in Clementsian forest succession
- Jacobi stability for dynamical systems of two-dimensional second-order differential equations and application to overhead crane system
- Nonlinear Stability Analysis of the Emden–Fowler Equation
- KCC theory and its application in a tumor growth model
- KCC-theory and geometry of the Rikitake system
- Jacobi stability analysis of the Lorenz system
- Point vortex dynamics: A classical mathematics playground
- Self-similar motion of three point vortices
- Motion of three vortices
- Jacobi stability analysis and chaotic behavior of nonlinear double pendulum
- Differential geometric structure of non-equilibrium dynamics in competition and predation: Finsler geometry and KCC theory
- Volterra-Hamilton production models with discounting: General theory and worked examples
This page was built for publication: Geometrical classification of self-similar motion of two-dimensional three point vortex system by deviation curvature on Jacobi field
