STUDY OF A TWO-DIMENSIONAL ENDOMORPHISM BY USE OF THE PARAMETRIC SINGULARITIES

DOI10.1142/S0218127400001900zbMath0983.37050OpenAlexW2018010886MaRDI QIDQ2710015

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Publication date: 2000

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

Full work available at URL: https://doi.org/10.1142/s0218127400001900

zbMATH Keywords

saddle-node singularityqualitative changes of the bifurcation curvestwo-dimensional cubic endomorphism

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Stability theory for smooth dynamical systems (37C75)

Related Items (3)

Homoclinic and Big Bang Bifurcations of an Embedding of 1D Allee’s Functions into a 2D Diffeomorphism ⋮ Dynamical Analysis and Big Bang Bifurcations of 1D and 2D Gompertz's Growth Functions ⋮ Bifurcation structures in a 2D exponential diffeomorphism with Allee effect

Cites Work

• 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
• BIFURCATION STRUCTURE IN A MODEL OF A FREQUENCY MODULATED CO₂ LASER
• “CROSSROAD AREA- DISSYMMETRICAL SPRING AREA — SYMMETRICAL SPRING AREA,” AND “DOUBLE CROSSROAD AREA — DOUBLE SPRING AREA” TRANSITIONS
• DETERMINATION OF DIFFERENT CONFIGURATIONS OF FOLD AND FLIP BIFURCATION CURVES OF A ONE OR TWO-DIMENSIONAL MAP
• ON A "CROSSROAD AREA–SPRING AREA" TRANSITION OCCURRING IN A DUFFING–RAYLEIGH EQUATION WITH A PERIODICAL EXCITATION
• A new kind of parametric singularities and their use for the study of the bifurcation structure of an n-dimensional map
• EXISTENCE OF A CUSP POINT ON A FOLD BIFURCATION CURVE AND STABILITY OF THE ASSOCIATED FIXED POINT: CASE OF AN n-DIMENSIONAL MAP

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