A homoclinic hierarchy.

DOI10.1016/0375-9601(95)00953-1zbMath1073.37525OpenAlexW2170213227WikidataQ127857281 ScholiaQ127857281MaRDI QIDQ1967760

Carlo R. Laing, Paul Glendinning

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00953-1

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (7)

On the Dynamics Near a Homoclinic Network to a Bifocus: Switching and Horseshoes ⋮ Strange attractors and wandering domains near a homoclinic cycle to a bifocus ⋮ On the existence of homoclinic orbits in \(n\)-dimensional piecewise affine systems ⋮ Basic structures of the Shilnikov homoclinic bifurcation scenario ⋮ Shilnikov homoclinic orbit bifurcations in the Chua’s circuit ⋮ Bifocal homoclinic bifurcations ⋮ Homoclinic bifurcation of strongly nonlinear oscillators by frequency-incremental method

Uses Software

• AUTO
• AUTO-86

Cites Work

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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
• Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems
• Subsidiary bifurcations near bifocal homoclinic orbits
• Bifocal homoclinic orbits in four dimensions
• Stability, Instability and Chaos
• CONSTRUCTING HOMOCLINIC ORBITS AND CHAOTIC ATTRACTORS
• SUBSIDIARY HOMOCLINIC ORBITS TO A SADDLE-FOCUS FOR REVERSIBLE SYSTEMS
• Differential Equations with Bifocal Homoclinic Orbits
• A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE

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