Attractors of a Weakly Dissipative System Allowing Transition to the Stochastic Web in the Conservative Limit

DOI10.20537/nd221206zbMath1528.37041MaRDI QIDQ6078964

Dmitriĭ Vladimirovich Savin, Unnamed Author

Publication date: 28 September 2023

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd841

zbMATH Keywords

saddle-node bifurcationnonlinear dynamicsstochastic webLyapunov exponentmultistability

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical aspects of attractors and their bifurcations (37G35) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Cites Work

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• MULTISTABILITY, BASIN BOUNDARY STRUCTURE, AND CHAOTIC BEHAVIOR IN A SUSPENSION BRIDGE MODEL
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
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