Basic structures of the Shilnikov homoclinic bifurcation scenario
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Publication:3529540
DOI10.1063/1.2031978zbMath1144.37383OpenAlexW2057330177WikidataQ46777144 ScholiaQ46777144MaRDI QIDQ3529540
Iberê L. Caldas, Murilo S. Baptista, Rene O. Medrano-T.
Publication date: 14 October 2008
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2031978
Related Items (8)
The Negative Side of Chua's Circuit Parameter Space: Stability Analysis, Period-Adding, Basin of Attraction Metamorphoses, and Experimental Investigation ⋮ Experimental characterization of nonlinear systems: a real-time evaluation of the analogous Chua's circuit behavior ⋮ An inductor-free realization of the Chua's circuit based on electronic analogy ⋮ Shilnikov homoclinic orbit bifurcations in the Chua’s circuit ⋮ Homoclinic chaos in the Rössler model ⋮ Existence of homoclinic connections in continuous piecewise linear systems ⋮ Ordered intricacy of Shilnikov saddle-focus homoclinics in symmetric systems ⋮ Chua circuit based on the exponential characteristics of semiconductor devices
Cites Work
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- Homoclinic orbits in a parametrized saddle-focus system
- Homoclinic orbits in a piecewise system and their relation with invariant sets
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- Double Impulse Solutions in Nerve Axon Equations
- The double scroll
- Complexity in the bifurcation structure of homoclinic loops to a saddle-focus
- Homoclinic bifurcation in a Hodgkin–Huxley model of thermally sensitive neurons
- Single and Multiple Pulse Waves for the FitzHugh–Nagumo
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- NEURAL EXCITABILITY, SPIKING AND BURSTING
- Differentiable dynamical systems
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