On existence of homoclinic paths in the Lorenz system
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Publication:1420295
zbMath1043.34048MaRDI QIDQ1420295
Publication date: 29 January 2004
Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)
Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
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A family of periodic motions to chaos with infinite homoclinic orbits in the Lorenz system ⋮ General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu-Morioka, Lu and Chen systems ⋮ Necessary and sufficient conditions of the existence of homoclinic trajectories and cascade of bifurcations in Lorenz-like systems: birth of strange attractor and 9 homoclinic bifurcations ⋮ Unnamed Item
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