Characterization of events in the Rössler system using singular value decomposition

• Published in: Chaos, solitons and fractals Vol. 153; p. 111516
• Main Author: Penner, Alvin
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.12.2021
• Subjects: Andronov-Hopf; Bifurcation; Chaos; Fold-Hopf; Limit cycle; Period-doubling; Rössler equations; Singular value decomposition; Tangent space; Turning point; Chaos; Fold-Hopf; Andronov-Hopf; Turning point; Bifurcation; Period-doubling; 70K05; Tangent space; Rössler equations; Limit cycle; Singular value decomposition; 37G15

•The Rossler System has multiple types of bifurcation of limit cycles and equilibria.•The bifurcations can be analyzed by defining a tangent phase space representation.•The transformed tangent phase space equations define a boundary-value problem.•The detailed solution is obtained by performing sing...