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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. / Leonov, G.A.

2016.

Research output: Other contribution › Research

Harvard

Leonov, GA 2016, 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.. https://doi.org/10.1007/s11071-015-2549-4

APA

Leonov, G. A. (2016). 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. https://doi.org/10.1007/s11071-015-2549-4

Vancouver

Leonov GA. 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. 2016. https://doi.org/10.1007/s11071-015-2549-4

Author

Leonov, G.A. / 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. 2016.

BibTeX

@misc{1191c61b450f464691fe27894f1f980e,
title = "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",
abstract = "{\textcopyright} 2015 Springer Science+Business Media Dordrecht Necessary and sufficient conditions of the existence of homoclinic trajectories in Lorenz-like systems are obtained. The Shimizu–Morioka, Lu, and Chen systems are considered. For special Lorenz-like system with zero saddle value, cascade of bifurcations is obtained. Birth of strange attractor, blue sky catastrophe and 9 homoclinic bifurcations are discovered.",
author = "G.A. Leonov",
year = "2016",
doi = "10.1007/s11071-015-2549-4",
language = "English",
type = "Other",

}

RIS

TY - GEN

T1 - 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

AU - Leonov, G.A.

PY - 2016

Y1 - 2016

N2 - © 2015 Springer Science+Business Media Dordrecht Necessary and sufficient conditions of the existence of homoclinic trajectories in Lorenz-like systems are obtained. The Shimizu–Morioka, Lu, and Chen systems are considered. For special Lorenz-like system with zero saddle value, cascade of bifurcations is obtained. Birth of strange attractor, blue sky catastrophe and 9 homoclinic bifurcations are discovered.

AB - © 2015 Springer Science+Business Media Dordrecht Necessary and sufficient conditions of the existence of homoclinic trajectories in Lorenz-like systems are obtained. The Shimizu–Morioka, Lu, and Chen systems are considered. For special Lorenz-like system with zero saddle value, cascade of bifurcations is obtained. Birth of strange attractor, blue sky catastrophe and 9 homoclinic bifurcations are discovered.

U2 - 10.1007/s11071-015-2549-4

DO - 10.1007/s11071-015-2549-4

M3 - Other contribution

ER -

ID: 7594010