Existence Conditions of Homoclinic Trajectories in Tigan System

DOI10.1142/S0218127415501758zbMath1330.34072OpenAlexW2225232019MaRDI QIDQ5744106

Gennady Alekseevich Leonov

Publication date: 17 February 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127415501758

zbMATH Keywords

homoclinic trajectoryfishing principleLorenz-like systemTricomi problemTigan system

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (3)

The existence of homoclinic orbits in a 4D Lorenz-type hyperchaotic system ⋮ Homoclinic orbits and chaos in the generalized Lorenz system ⋮ Multistability in a 3D Autonomous System with Different Types of Chaotic Attractors

Cites Work

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• Rössler systems: estimates for the dimension of attractors and homoclinic orbits
• Fishing principle for homoclinic and heteroclinic trajectories
• Heteroclinic orbits in the \(T\) and the Lü systems
• General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu-Morioka, Lu and Chen systems
• Analysis of a 3D chaotic system
• SHILNIKOV CHAOS IN LORENZ-LIKE SYSTEMS
• On the New Results of Global Exponential Attractive Sets of the T Chaotic System

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