A new kind of parametric singularities and their use for the study of the bifurcation structure of an n-dimensional map

DOI10.1016/0362-546X(95)00185-XzbMath0884.58073OpenAlexW1978163917MaRDI QIDQ5284490

Jean-Pierre Carcasses

Publication date: 16 April 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00185-x

zbMATH Keywords

bifurcation curveparametric singularities

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (6)

From Weak Allee Effect to No Allee Effect in Richards’ Growth Models ⋮ Dynamics and bifurcations of a map of homographic Ricker type ⋮ Homoclinic and Big Bang Bifurcations of an Embedding of 1D Allee’s Functions into a 2D Diffeomorphism ⋮ STUDY OF A TWO-DIMENSIONAL ENDOMORPHISM BY USE OF THE PARAMETRIC SINGULARITIES ⋮ BEHAVIOR OF HARMONICS GENERATED BY A DUFFING TYPE EQUATION WITH A NONLINEAR DAMPING: PART I ⋮ Bifurcation structures in a 2D exponential diffeomorphism with Allee effect

Cites Work

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• Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
• "CROSSROAD AREA–SPRING AREA" TRANSITION (I) PARAMETER PLANE REPRESENTATION
• A generalization of the Levinson-Massera’s equalities
• SINGULAR POINTS WITH TWO MULTIPLIERS, S₁=−S₂=1, IN THE BIFURCATION CURVES OF MAPS
• "CROSSROAD AREA–SPRING AREA" TRANSITION (II) FOLIATED PARAMETRIC REPRESENTATION
• ON THE "CROSSROAD AREA–SADDLE AREA" AND "CROSSROAD AREA–SPRING AREA" TRANSITIONS
• SINGULAR POINTS OF PLANE CURVES GENERATED BY PERIOD DOUBLING BIFURCATION POINTS AND A METHOD FOR COMPUTING THEM
• A NECESSARY AND SUFFICIENT CONDITION TO HAVE r PAIRS OF COMPLEX MULTIPLIERS WITH MODULUS EQUAL TO UNITY IN THE CASE OF AN n-DIMENSIONAL MAP
• DETERMINATION OF DIFFERENT CONFIGURATIONS OF FOLD AND FLIP BIFURCATION CURVES OF A ONE OR TWO-DIMENSIONAL MAP

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