On Geometry of the R\"ossler system of equations
Valery Dryuma
TL;DR
This paper explores the geometric structure of the Rössler system using Riemann extension theory to analyze relations between its parameters.
Contribution
It introduces a geometric framework based on Riemann extension to study the Rössler system's parameter relations.
Findings
Identifies geometric relations between Rössler system parameters.
Provides a new perspective on the system's dynamics through differential geometry.
Lays groundwork for future geometric analysis of nonlinear systems.
Abstract
On a basis of theory of Riemann extension of the space of constant affine connection associated with the R\"ossler system of equations relations between its parameters are investigated.
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Taxonomy
Topicsadvanced mathematical theories · Elasticity and Wave Propagation · Differential Equations and Boundary Problems