Results 1 to 10 of about 192,093 (184)
Asymptotic analysis of subcritical Hopf–homoclinic bifurcation [PDF]
Physica D: Nonlinear Phenomena, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guckenheimer, John, Willms, Allan R.
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Imperfect homoclinic bifurcations [PDF]
Physical Review E, 2001 Experimental observations of an almost symmetric electronic circuit show complicated sequences of bifurcations. These results are discussed in the light of a theory of imperfect global bifurcations. It is shown that much of the dynamics observed in the circuit can be understood by reference to imperfect homoclinic bifurcations without constructing an ...
Glendinning, Paul +2 more
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Non-smooth homoclinic bifurcation in a conceptual climate model [PDF]
European journal of applied mathematics, 2016 Collision of equilibria with a splitting manifold has been locally studied, but might also be a contributing factor to global bifurcations. In particular, a boundary collision can be coincident with collision of a virtual equilibrium with a periodic ...
J. Leifeld
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Bifocal homoclinic bifurcations [PDF]
Physica D: Nonlinear Phenomena, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Laing, Carlo, Glendinning, Paul
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Homoclinic bifurcation in Chua’s circuit [PDF]
Pramana, 2005 We report our experimental observations of the Shil'nikov-type homoclinic chaos in asymmetry-induced Chua's oscillator. The asymmetry plays a crucial role in the related homoclinic bifurcations. The asymmetry is introduced in the circuit by forcing a DC voltage.
Dana, SK +2 more
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Controllability near a homoclinic bifurcation [PDF]
Systems & Control Letters, 2021 19 pages, 5 ...
Colonius, Fritz +2 more
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Pattern formation on the free surface of a ferrofluid: spatial dynamics and homoclinic bifurcation [PDF]
, 2016 We establish the existence of spatially localised one-dimensional free surfaces of a ferrofluid near onset of the Rosensweig instability, assuming a general (nonlinear) magnetisation law.
M. Groves, D. Lloyd, A. Stylianou
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Cascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: A Case Study [PDF]
SIAM Journal on Applied Dynamical Systems, 2018 We study a specific homoclinic bifurcation called a homoclinic flip bifurcation of case C, where a homoclinic orbit to a saddle equilibrium with real eigenvalues changes from being orientable to nonorientable.
A. Giraldo, B. Krauskopf, H. Osinga
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Saddle Invariant Objects and Their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B [PDF]
SIAM Journal on Applied Dynamical Systems, 2017 When a real saddle equilibrium in a three-dimensional vector field undergoes a homoclinic bifurcation, the associated two-dimensional invariant manifold of the equilibrium closes on itself in an orientable or nonorientable way, provided the corresponding
A. Giraldo, B. Krauskopf, H. Osinga
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Homoclinic bifurcations for the Hénon map [PDF]
Physica D: Nonlinear Phenomena, 1999 To appear in PhysicaD: 43 Pages, 14 ...
Sterling, D. +2 more
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