The self-oscillating system with compensated dissipation – the dynamics of the approximate discrete map

DOI10.1080/14689367.2011.653328zbMath1245.34045OpenAlexW2059721569MaRDI QIDQ2904326

Ulrike Feudel, Alexey V. Savin, Alexander P. Kuznetsov, Dmitriĭ Vladimirovich Savin, Sergey P. Kuznetsov

Publication date: 13 August 2012

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2011.653328

zbMATH Keywords

bifurcationvan der Pol oscillatorperiod-doubling cascade

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical bifurcation problems (65P30)

Related Items (1)

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

Uses Software

• CONTENT

Cites Work

• The universal metric properties of nonlinear transformations
• A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos
• Quantitative universality for a class of nonlinear transformations
• A non-transverse homoclinic orbit to a saddle-node equilibrium
• Generalized Hénon Map and Bifurcations of Homoclinic Tangencies
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