MULTIPLE HOMOCLINIC BIFURCATIONS FROM ORBIT-FLIP I: SUCCESSIVE HOMOCLINIC DOUBLINGS
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Publication:4346648
DOI10.1142/S0218127496000461zbMath0884.34047OpenAlexW2164589536MaRDI QIDQ4346648
Motomasa Komuro, Hiroshi Kokubu, Hiroe Oka
Publication date: 9 October 1997
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127496000461
Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (13)
Codimension-3 bifurcations of a class of homoclinic loop with saddle-point ⋮ The existence of infinitely many homoclinic doubling bifurcations from some codimension 3 homoclinic orbits ⋮ The twisting bifurcations of double homoclinic loops with resonant eigenvalues ⋮ BIFURCATIONS OF HOMOCLINIC ORBIT CONNECTING TWO NONLEADING EIGENDIRECTIONS ⋮ Travelling waves and heteroclinic networks in models of spatially-extended cyclic competition ⋮ Bifurcation of an orbit homoclinic to a hyperbolic saddle of a vector field in \(\mathbb{R}^4\) ⋮ A trio of heteroclinic bifurcations arising from a model of spatially-extended Rock–Paper–Scissors ⋮ Codimension 3 nontwisted double homoclinic loops bifurcations with resonant eigenvalues ⋮ Death of period-doublings: Locating the homoclinic-doubling cascade ⋮ Codimension 2 bifurcations of double homoclinic loops ⋮ Codimension-4 resonant homoclinic bifurcations with orbit flips and inclination flips ⋮ On the complexity of periodic and nonperiodic behaviors of a hysteresis-based electronic oscillator ⋮ Attractors and orbit-flip homoclinic orbits for star flows
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