Found 40 Documents (Results 1–40)
Bifurcation structure of interval maps with orbits homoclinic to a saddle-focus. (English) Zbl 07849484
Ukr. Math. J. 75, No. 12, 1822-1840 (2024) and Ukr. Mat. Zh. 75, No. 12, 1608-1626 (2023).
On discrete Lorenz-like attractors in three-dimensional maps with axial symmetry. (English) Zbl 07863409
On a reversible three-dimensional system containing attractor and Lorenz repeller. (Russian. English summary) Zbl 1509.37039
Chaotic switching in driven-dissipative Bose-Hubbard dimers: when a flip bifurcation meets a T-point in \(\mathbb{R}^4 \). (English) Zbl 1515.37021
Reviewer: Kwok-wai Chung (Hong Kong)
Topological classification of periodic orbits in the generalized Lorenz-type system with diverse symbolic dynamics. (English) Zbl 1498.37031
Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system. (English) Zbl 1500.34016
Reviewer: Yong Ye (Shenzhen)
Ordered intricacy of Shilnikov saddle-focus homoclinics in symmetric systems. (English) Zbl 1481.37053
Reviewer: Irina V. Konopleva (Ul’yanovsk)
Entropy charts and bifurcations for Lorenz maps with infinite derivatives. (English) Zbl 1471.37045
Reviewer: Cristian Lăzureanu (Timişoara)
Wild pseudohyperbolic attractor in a four-dimensional Lorenz system. (English) Zbl 1472.34106
Reviewer: Eduard Musafirov (Grodno)
Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case \(\mathbf{C}_{\mathbf{in}}\). (English) Zbl 1458.76050
A Lorenz-type attractor in a piecewise-smooth system: rigorous results. (English) Zbl 1425.37023
MSC:
37D45
Homoclinic saddle to saddle-focus transitions in 4D systems. (English) Zbl 1422.34142
Reviewer: Sergei Yu. Pilyugin (St. Petersburg)
Cascades of global bifurcations and chaos near a homoclinic flip bifurcation: a case study. (English) Zbl 1408.37087
Homoclinic-doubling and homoclinic-gluing bifurcations in the Takens-Bogdanov normal form with \(D_4\) symmetry. (English) Zbl 1397.37022
A novel hyperchaotic system with infinitely many heteroclinic orbits coined. (English) Zbl 1392.34053
Existence of heterodimensional cycles near shilnikov loops in systems with a \(\mathbb{Z}_2\) symmetry. (English) Zbl 1360.37129
Variety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon maps. (English) Zbl 1376.37047
Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system. (English) Zbl 1489.37069
Qualitative upper and lower approximations of complex nonlinear chaotic and nonchaotic models. (English) Zbl 1330.37070
Global organization of phase space in the transition to chaos in the Lorenz system. (English) Zbl 1332.34083
Using Lin’s method to solve Bykov’s problems. (English) Zbl 1312.34083
Reviewer: Kwok-wai Chung (Hong Kong)
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