SHILNIKOV BIFURCATION: STATIONARY QUASI-REVERSAL BIFURCATION

DOI10.1142/S0218127408021440zbMath1149.34324MaRDI QIDQ3544964

Pablo C. Encina, Enrique Tirapegui, Marcel G. Clerc

Publication date: 8 December 2008

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

zbMATH Keywords

chaosbifurcation theoryinstabilities

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items

Global invariant manifolds near a Shilnikov homoclinic bifurcation, Soliton pair interaction law in parametrically driven Newtonian fluid

Cites Work

• Asymptotic chaos
• A simple global characterization for normal forms of singular vector fields
• Quantitative universality for a class of nonlinear transformations
• Ordinary Differential Equations with Strange Attractors
• Lorenz Bifurcation: Instabilities in Quasireversible Systems
• Pattern formation outside of equilibrium
• THE STATIONARY INSTABILITY IN QUASI-REVERSIBLE SYSTEMS AND THE LORENZ PENDULUM
• ON THE GENERATION OF A PERIODIC MOTION FROM TRAJECTORIES DOUBLY ASYMPTOTIC TO AN EQUILIBRIUM STATE OF SADDLE TYPE
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