RESONANCES OF PERIODIC ORBITS IN RÖSSLER SYSTEM IN PRESENCE OF A TRIPLE-ZERO BIFURCATION

DOI10.1142/S0218127407018178zbMath1145.37322OpenAlexW1990614257MaRDI QIDQ3510211

Antonio Algaba, Estanislao Gamero, Emilio Freire, Alejandro J. Rodríguez-Luis

Publication date: 2 July 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127407018178

zbMATH Keywords

periodic orbitsresonancesRössler systemtriple-zero bifurcation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic orbits of vector fields and flows (37C27) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (9)

Study of a dynamical system with a strange attractor and invariant tori ⋮ Qualitative analysis of the Rössler equations: bifurcations of limit cycles and chaotic attractors ⋮ Noose structure and bifurcations of periodic orbits in reversible three-dimensional piecewise linear differential systems ⋮ Qualitative and numerical analysis of the Rössler model: bifurcations of equilibria ⋮ Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case \(\mathbf{C}_{\mathbf{in}}\) ⋮ Reversible periodic orbits in a class of 3D continuous piecewise linear systems of differential equations ⋮ Periodic solutions and invariant torus in the Rössler system ⋮ An exact homoclinic orbit and its connection with the Rössler system ⋮ High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities

Uses Software

• DSTool

Cites Work

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