Analysis of Degenerate Chenciner Bifurcation-Reference-Cited by-同舟云学术

Analysis of Degenerate Chenciner Bifurcation

Published:2020-12-28 Issue:16 Volume:30 Page:2050245
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Tigan G.¹^ORCID,Lugojan S.¹,Ciurdariu L.¹

Affiliation:

1. Department of Mathematics, Politehnica University of Timisoara, Pta Victoriei, nr. 2, 300006, Timisoara, Timis, Romania

Abstract

Degenerate Chenciner bifurcation in generic discrete-time dynamical systems is studied in this work. While the nondegenerate Chenciner bifurcation can be described by two bifurcation diagrams, the degeneracy we studied in this work gives rise to 32 different bifurcation diagrams.

Funder

Horizon 2020

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127420502454

Reference30 articles.

1. Resonances for weak coupling of the unfolding of a saddle-node periodic orbit with an oscillator

2. On the dynamic consistency of a two-species competitive discrete system with toxicity: Local and global analysis

3. Geometry and dynamics of mildly degenerate Hopf–Neĭmarck–Sacker families near resonance

4. Bifurcations de points fixes elliptiques. II. Orbites periodiques et ensembles de Cantor invariants

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