Complex dynamics in two-dimensional endomorphisms

DOI10.1016/0362-546X(80)90026-7zbMath0462.58021OpenAlexW2060456859MaRDI QIDQ3911762

Christian Mira

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0362-546x(80)90026-7

zbMATH Keywords

appearance of chaos from orderly dynamicsbifurcation structure of a box-within-a-box typebifurcation that destroys the chaotic areaboundary of the chaotic areatwo dimensional endomorphisms

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (17)

Some global bifurcations of two-dimensional endomorphisms by use of critical lines ⋮ Critical sets and unimodal mappings of the square ⋮ Homoclinic bifurcations in n-dimensional endomorphisms, due to expanding periodic points ⋮ On the boundaries of absorbing and chaotic areas in second-order endomorphisms ⋮ Semi-unimodal 2-endomorphisms with complicated nonwandering set ⋮ ABOUT A NEW CLASS OF INVARIANT AREAS GENERATED BY TWO-DIMENSIONAL ENDOMORPHISMS ⋮ Snap-back repellers and chaos in a discrete population model with delayed recruitment ⋮ GEOMETRY AND ORDER OF CHAOS ⋮ GEOMETRY AND ORDER OF CHAOS ⋮ Chaos and fractal properties induced by noninvertibility of models in the form of maps ⋮ Bifurcations and multistability in a class of two-dimensional endomorphisms ⋮ PERTURBING TWO-DIMENSIONAL MAPS HAVING CRITICAL HOMOCLINIC ORBITS ⋮ FRACTALIZATION OF BASIN BOUNDARY IN TWO-DIMENSIONAL NONINVERTIBLE MAPS ⋮ ON CRITICAL CURVES IN TWO-DIMENSIONAL ENDOMORPHISMS ⋮ Annular chaotic areas ⋮ The Dynamics of Planar Quadratic Maps with Nonempty Bounded Critical Set ⋮ Absorptive area and chaotic area in two- dimensional endomorphisms

Cites Work

• A two-dimensional mapping with a strange attractor
• Sensitivity problems related to certain bifurcations in non-linear recurrence relations
• Deterministic Nonperiodic Flow
• Simple mathematical models with very complicated dynamics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Complex dynamics in two-dimensional endomorphisms