Spikes adding to infinity on period-1 orbits to chaos in the Rössler system
DOI10.1142/S0218127423300331zbMATH Open1546.3708MaRDI QIDQ6538875
Publication date: 14 May 2024
Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)
Bifurcations of singular points in dynamical systems (37G10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Complex behavior and chaotic systems of ordinary differential equations (34C28)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Oscillators with chaotic behavior: An illustration of a theorem by Shil'nikov
- Local and global behavior near homoclinic orbits
- Bifurcation phenomena near homoclinic systems: A two-parameter analysis
- Asymptotic chaos
- A family of periodic motions to chaos with infinite homoclinic orbits in the Lorenz system
- Spike-adding structure in fold/hom bursters
- Discretization and implicit mapping dynamics
- Qualitative analysis of the Rössler equations: bifurcations of limit cycles and chaotic attractors
- An equation for continuous chaos
- Qualitative and numerical analysis of the Rössler model: bifurcations of equilibria
- NUMERICAL DETECTION AND CONTINUATION OF CODIMENSION-TWO HOMOCLINIC BIFURCATIONS
- On infinite homoclinic orbits induced by unstable periodic orbits in the Lorenz system
- Homoclinic chaos in the Rössler model
- Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems
- ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. II
- On an origami structure of period-1 motions to homoclinic orbits in the Rössler system
This page was built for publication: Spikes adding to infinity on period-1 orbits to chaos in the Rössler system
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6538875)
