On an origami structure of period-1 motions to homoclinic orbits in the Rössler system

DOI10.1063/5.0131970MaRDI QIDQ6571510

A. C. J. Luo, Siyuan Xing

Publication date: 12 July 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Cites Work

• Title not available (Why is that?)
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• 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
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• 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
• A Semi-analytical Prediction of Periodic Motions in Duffing Oscillator through Mapping Structures
• NUMERICAL DETECTION AND CONTINUATION OF CODIMENSION-TWO HOMOCLINIC BIFURCATIONS
• Deterministic Nonperiodic Flow
• 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

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