Qualitative and numerical analysis of the Rössler model: bifurcations of equilibria

DOI10.1016/j.camwa.2011.09.064zbMath1236.65154OpenAlexW2056242511MaRDI QIDQ2429061

Fernando Blesa, Roberto Barrio, Angeles Dena, Sergio E. Serrano

Publication date: 22 April 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.09.064

zbMATH Keywords

Hopf bifurcationbifurcations of equilibriaRössler equations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Numerical bifurcation problems (65P30) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (13)

Spiral periodic structures in a parameter plane of an ecological model ⋮ Characterization of events in the Rössler system using singular value decomposition ⋮ Local Bifurcations and Chaos in the Fractional Rössler System ⋮ BURSTING SOLUTIONS OF THE RÖSSLER EQUATIONS ⋮ Timing of transients: quantifying reaching times and transient behavior in complex systems ⋮ Numerical bifurcation analysis of two coupled Fitzhugh-Nagumo oscillators ⋮ Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case \(\mathbf{C}_{\mathbf{in}}\) ⋮ Periodic solutions and invariant torus in the Rössler system ⋮ Analytical study of funnel type Rössler attractor ⋮ Qualitative Upper and Lower Approximations of Complex Nonlinear Chaotic and Nonchaotic Models ⋮ An exact homoclinic orbit and its connection with the Rössler system ⋮ Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor ⋮ The effects of structural perturbations on the synchronizability of diffusive networks

Uses Software

• MATCONT
• AUTO2000

Cites Work

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